Fraction to Decimal Calculator
Convert fractions to decimals step by step
The calculator will convert the given fraction (proper or improper) or mixed number into a decimal (possibly, repeating or recurring), with steps shown.
Solution
Your input: convert 300046 into a decimal.
Write the problem in the special format:
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Step 1
How many 46's are in 3? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 3-0 \cdot 46 = 3 - 0= 3.
Bring down the next digit of the dividend.
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Step 2
How many 46's are in 30? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 30-0 \cdot 46 = 30 - 0= 30.
Bring down the next digit of the dividend.
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Step 3
How many 46's are in 300? The answer is 6.
Write down the calculated result in the upper part of the table.
Now, 300-6 \cdot 46 = 300 - 276= 24.
Bring down the next digit of the dividend.
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Step 4
How many 46's are in 240? The answer is 5.
Write down the calculated result in the upper part of the table.
Now, 240-5 \cdot 46 = 240 - 230= 10.
Bring down the next digit of the dividend.
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Step 5
How many 46's are in 100? The answer is 2.
Write down the calculated result in the upper part of the table.
Now, 100-2 \cdot 46 = 100 - 92= 8.
Bring down the next digit of the dividend.
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Step 6
How many 46's are in 80? The answer is 1.
Write down the calculated result in the upper part of the table.
Now, 80-1 \cdot 46 = 80 - 46= 34.
Bring down the next digit of the dividend.
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Step 7
How many 46's are in 340? The answer is 7.
Write down the calculated result in the upper part of the table.
Now, 340-7 \cdot 46 = 340 - 322= 18.
Bring down the next digit of the dividend.
\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccccccccccccccccccccccccccccccccccccccccccccccc}0&0&6&5&.&2&1&\color{DeepPink}{7}&\phantom{3}&\phantom{9}&\phantom{1}&\phantom{3}&\phantom{0}&\phantom{4}&\phantom{3}&\phantom{4}&\phantom{7}&\phantom{8}&\phantom{2}&\phantom{6}&\phantom{0}&\phantom{8}&\phantom{6}&\phantom{9}&\phantom{5}&\phantom{6}&\phantom{5}&\phantom{2}&\phantom{1}&\phantom{7}&\phantom{3}&\phantom{9}&\phantom{1}&\phantom{3}&\phantom{0}&\phantom{4}&\phantom{3}&\phantom{4}&\phantom{7}&\phantom{8}&\phantom{2}&\phantom{6}&\phantom{0}&\phantom{8}&\phantom{6}&\phantom{9}&\phantom{5}&\phantom{6}&\phantom{5}&\phantom{2}\end{array}&\\\color{Magenta}{46}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccccccccccccccccccccccccccccccccccccccccccccccc}3&0&0&0&.&0&0&0& 0 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Step 8
How many 46's are in 180? The answer is 3.
Write down the calculated result in the upper part of the table.
Now, 180-3 \cdot 46 = 180 - 138= 42.
Bring down the next digit of the dividend.
\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccccccccccccccccccccccccccccccccccccccccccccccc}0&0&6&5&.&2&1&7&\color{SaddleBrown}{3}&\phantom{9}&\phantom{1}&\phantom{3}&\phantom{0}&\phantom{4}&\phantom{3}&\phantom{4}&\phantom{7}&\phantom{8}&\phantom{2}&\phantom{6}&\phantom{0}&\phantom{8}&\phantom{6}&\phantom{9}&\phantom{5}&\phantom{6}&\phantom{5}&\phantom{2}&\phantom{1}&\phantom{7}&\phantom{3}&\phantom{9}&\phantom{1}&\phantom{3}&\phantom{0}&\phantom{4}&\phantom{3}&\phantom{4}&\phantom{7}&\phantom{8}&\phantom{2}&\phantom{6}&\phantom{0}&\phantom{8}&\phantom{6}&\phantom{9}&\phantom{5}&\phantom{6}&\phantom{5}&\phantom{2}\end{array}&\\\color{Magenta}{46}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccccccccccccccccccccccccccccccccccccccccccccccc}3&0&0&0&.&0&0&0&0& 0 \downarrow&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0\end{array}}&\\&\begin{array}{lllllllllllllllllllllllllllllllllllllllllllllllll}-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}3&0&\phantom{.}\\-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&0&\phantom{.}\\\hline\phantom{lll}3&0&0&\phantom{.}\\-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}2&7&6&\phantom{.}\\\hline\phantom{lll}&2&4&0&\phantom{.}\\-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&2&3&0&\phantom{.}\\\hline\phantom{lll}&&1&0&\phantom{.}&0\\&-&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&\phantom{.}&9&2\\\hline\phantom{lll}&&&&&8&0\\&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&4&6\\\hline\phantom{lll}&&&&&3&4&0\\&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&3&2&2\\\hline\phantom{lll}&&&&&&\color{SaddleBrown}{1}&\color{SaddleBrown}{8}&\color{SaddleBrown}{0}\\&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0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Step 9
How many 46's are in 420? The answer is 9.
Write down the calculated result in the upper part of the table.
Now, 420-9 \cdot 46 = 420 - 414= 6.
Bring down the next digit of the dividend.
\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccccccccccccccccccccccccccccccccccccccccccccccc}0&0&6&5&.&2&1&7&3&\color{Green}{9}&\phantom{1}&\phantom{3}&\phantom{0}&\phantom{4}&\phantom{3}&\phantom{4}&\phantom{7}&\phantom{8}&\phantom{2}&\phantom{6}&\phantom{0}&\phantom{8}&\phantom{6}&\phantom{9}&\phantom{5}&\phantom{6}&\phantom{5}&\phantom{2}&\phantom{1}&\phantom{7}&\phantom{3}&\phantom{9}&\phantom{1}&\phantom{3}&\phantom{0}&\phantom{4}&\phantom{3}&\phantom{4}&\phantom{7}&\phantom{8}&\phantom{2}&\phantom{6}&\phantom{0}&\phantom{8}&\phantom{6}&\phantom{9}&\phantom{5}&\phantom{6}&\phantom{5}&\phantom{2}\end{array}&\\\color{Magenta}{46}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccccccccccccccccccccccccccccccccccccccccccccccc}3&0&0&0&.&0&0&0&0&0& 0 \downarrow&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0&0\end{array}}&\\&\begin{array}{lllllllllllllllllllllllllllllllllllllllllllllllll}-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}3&0&\phantom{.}\\-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&0&\phantom{.}\\\hline\phantom{lll}3&0&0&\phantom{.}\\-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}2&7&6&\phantom{.}\\\hline\phantom{lll}&2&4&0&\phantom{.}\\-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&2&3&0&\phantom{.}\\\hline\phantom{lll}&&1&0&\phantom{.}&0\\&-&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&\phantom{.}&9&2\\\hline\phantom{lll}&&&&&8&0\\&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&4&6\\\hline\phantom{lll}&&&&&3&4&0\\&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&3&2&2\\\hline\phantom{lll}&&&&&&1&8&0\\&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&1&3&8\\\hline\phantom{lll}&&&&&&&\color{Green}{4}&\color{Green}{2}&\color{Green}{0}\\&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&4&1&4\\\hline\phantom{lll}&&&&&&&&&6&0\end{array}&\begin{array}{c}\end{array}\end{array}
Step 10
How many 46's are in 60? The answer is 1.
Write down the calculated result in the upper part of the table.
Now, 60-1 \cdot 46 = 60 - 46= 14.
Bring down the next digit of the dividend.
\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccccccccccccccccccccccccccccccccccccccccccccccc}0&0&6&5&.&2&1&7&3&9&\color{DarkMagenta}{1}&\phantom{3}&\phantom{0}&\phantom{4}&\phantom{3}&\phantom{4}&\phantom{7}&\phantom{8}&\phantom{2}&\phantom{6}&\phantom{0}&\phantom{8}&\phantom{6}&\phantom{9}&\phantom{5}&\phantom{6}&\phantom{5}&\phantom{2}&\phantom{1}&\phantom{7}&\phantom{3}&\phantom{9}&\phantom{1}&\phantom{3}&\phantom{0}&\phantom{4}&\phantom{3}&\phantom{4}&\phantom{7}&\phantom{8}&\phantom{2}&\phantom{6}&\phantom{0}&\phantom{8}&\phantom{6}&\phantom{9}&\phantom{5}&\phantom{6}&\phantom{5}&\phantom{2}\end{array}&\\\color{Magenta}{46}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccccccccccccccccccccccccccccccccccccccccccccccc}3&0&0&0&.&0&0&0&0&0&0& 0 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Step 11
How many 46's are in 140? The answer is 3.
Write down the calculated result in the upper part of the table.
Now, 140-3 \cdot 46 = 140 - 138= 2.
Bring down the next digit of the dividend.
\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccccccccccccccccccccccccccccccccccccccccccccccc}0&0&6&5&.&2&1&7&3&9&1&\color{Fuchsia}{3}&\phantom{0}&\phantom{4}&\phantom{3}&\phantom{4}&\phantom{7}&\phantom{8}&\phantom{2}&\phantom{6}&\phantom{0}&\phantom{8}&\phantom{6}&\phantom{9}&\phantom{5}&\phantom{6}&\phantom{5}&\phantom{2}&\phantom{1}&\phantom{7}&\phantom{3}&\phantom{9}&\phantom{1}&\phantom{3}&\phantom{0}&\phantom{4}&\phantom{3}&\phantom{4}&\phantom{7}&\phantom{8}&\phantom{2}&\phantom{6}&\phantom{0}&\phantom{8}&\phantom{6}&\phantom{9}&\phantom{5}&\phantom{6}&\phantom{5}&\phantom{2}\end{array}&\\\color{Magenta}{46}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccccccccccccccccccccccccccccccccccccccccccccccc}3&0&0&0&.&0&0&0&0&0&0&0& 0 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m{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&1&3&8\\\hline\phantom{lll}&&&&&&&4&2&0\\&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&4&1&4\\\hline\phantom{lll}&&&&&&&&&6&0\\&&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&&4&6\\\hline\phantom{lll}&&&&&&&&&\color{Fuchsia}{1}&\color{Fuchsia}{4}&\color{Fuchsia}{0}\\&&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&&1&3&8\\\hline\phantom{lll}&&&&&&&&&&&2&0\end{array}&\begin{array}{c}\end{array}\end{array}
Step 12
How many 46's are in 20? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 20-0 \cdot 46 = 20 - 0= 20.
Bring down the next digit of the dividend.
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Step 13
How many 46's are in 200? The answer is 4.
Write down the calculated result in the upper part of the table.
Now, 200-4 \cdot 46 = 200 - 184= 16.
Bring down the next digit of the dividend.
\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccccccccccccccccccccccccccccccccccccccccccccccc}0&0&6&5&.&2&1&7&3&9&1&3&0&\color{DarkBlue}{4}&\phantom{3}&\phantom{4}&\phantom{7}&\phantom{8}&\phantom{2}&\phantom{6}&\phantom{0}&\phantom{8}&\phantom{6}&\phantom{9}&\phantom{5}&\phantom{6}&\phantom{5}&\phantom{2}&\phantom{1}&\phantom{7}&\phantom{3}&\phantom{9}&\phantom{1}&\phantom{3}&\phantom{0}&\phantom{4}&\phantom{3}&\phantom{4}&\phantom{7}&\phantom{8}&\phantom{2}&\phantom{6}&\phantom{0}&\phantom{8}&\phantom{6}&\phantom{9}&\phantom{5}&\phantom{6}&\phantom{5}&\phantom{2}\end{array}&\\\color{Magenta}{46}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccccccccccccccccccccccccccccccccccccccccccccccc}3&0&0&0&.&0&0&0&0&0&0&0&0&0& 0 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Step 14
How many 46's are in 160? The answer is 3.
Write down the calculated result in the upper part of the table.
Now, 160-3 \cdot 46 = 160 - 138= 22.
Bring down the next digit of the dividend.
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Step 15
How many 46's are in 220? The answer is 4.
Write down the calculated result in the upper part of the table.
Now, 220-4 \cdot 46 = 220 - 184= 36.
Bring down the next digit of the dividend.
\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccccccccccccccccccccccccccccccccccccccccccccccc}0&0&6&5&.&2&1&7&3&9&1&3&0&4&3&\color{Chocolate}{4}&\phantom{7}&\phantom{8}&\phantom{2}&\phantom{6}&\phantom{0}&\phantom{8}&\phantom{6}&\phantom{9}&\phantom{5}&\phantom{6}&\phantom{5}&\phantom{2}&\phantom{1}&\phantom{7}&\phantom{3}&\phantom{9}&\phantom{1}&\phantom{3}&\phantom{0}&\phantom{4}&\phantom{3}&\phantom{4}&\phantom{7}&\phantom{8}&\phantom{2}&\phantom{6}&\phantom{0}&\phantom{8}&\phantom{6}&\phantom{9}&\phantom{5}&\phantom{6}&\phantom{5}&\phantom{2}\end{array}&\\\color{Magenta}{46}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccccccccccccccccccccccccccccccccccccccccccccccc}3&0&0&0&.&0&0&0&0&0&0&0&0&0&0&0& 0 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Step 16
How many 46's are in 360? The answer is 7.
Write down the calculated result in the upper part of the table.
Now, 360-7 \cdot 46 = 360 - 322= 38.
Bring down the next digit of the dividend.
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Step 17
How many 46's are in 380? The answer is 8.
Write down the calculated result in the upper part of the table.
Now, 380-8 \cdot 46 = 380 - 368= 12.
Bring down the next digit of the dividend.
\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccccccccccccccccccccccccccccccccccccccccccccccc}0&0&6&5&.&2&1&7&3&9&1&3&0&4&3&4&7&\color{Red}{8}&\phantom{2}&\phantom{6}&\phantom{0}&\phantom{8}&\phantom{6}&\phantom{9}&\phantom{5}&\phantom{6}&\phantom{5}&\phantom{2}&\phantom{1}&\phantom{7}&\phantom{3}&\phantom{9}&\phantom{1}&\phantom{3}&\phantom{0}&\phantom{4}&\phantom{3}&\phantom{4}&\phantom{7}&\phantom{8}&\phantom{2}&\phantom{6}&\phantom{0}&\phantom{8}&\phantom{6}&\phantom{9}&\phantom{5}&\phantom{6}&\phantom{5}&\phantom{2}\end{array}&\\\color{Magenta}{46}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccccccccccccccccccccccccccccccccccccccccccccccc}3&0&0&0&.&0&0&0&0&0&0&0&0&0&0&0&0&0& 0 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Step 18
How many 46's are in 120? The answer is 2.
Write down the calculated result in the upper part of the table.
Now, 120-2 \cdot 46 = 120 - 92= 28.
Bring down the next digit of the dividend.
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Step 19
How many 46's are in 280? The answer is 6.
Write down the calculated result in the upper part of the table.
Now, 280-6 \cdot 46 = 280 - 276= 4.
Bring down the next digit of the dividend.
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Step 20
How many 46's are in 40? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 40-0 \cdot 46 = 40 - 0= 40.
Bring down the next digit of the dividend.
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Step 21
How many 46's are in 400? The answer is 8.
Write down the calculated result in the upper part of the table.
Now, 400-8 \cdot 46 = 400 - 368= 32.
Bring down the next digit of the dividend.
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Step 22
How many 46's are in 320? The answer is 6.
Write down the calculated result in the upper part of the table.
Now, 320-6 \cdot 46 = 320 - 276= 44.
Bring down the next digit of the dividend.
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Step 23
How many 46's are in 440? The answer is 9.
Write down the calculated result in the upper part of the table.
Now, 440-9 \cdot 46 = 440 - 414= 26.
Bring down the next digit of the dividend.
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Step 24
How many 46's are in 260? The answer is 5.
Write down the calculated result in the upper part of the table.
Now, 260-5 \cdot 46 = 260 - 230= 30.
Bring down the next digit of the dividend.
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Step 25
How many 46's are in 300? The answer is 6.
Write down the calculated result in the upper part of the table.
Now, 300-6 \cdot 46 = 300 - 276= 24.
Bring down the next digit of the dividend.
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Step 26
How many 46's are in 240? The answer is 5.
Write down the calculated result in the upper part of the table.
Now, 240-5 \cdot 46 = 240 - 230= 10.
Bring down the next digit of the dividend.
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Step 27
How many 46's are in 100? The answer is 2.
Write down the calculated result in the upper part of the table.
Now, 100-2 \cdot 46 = 100 - 92= 8.
Bring down the next digit of the dividend.
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Step 28
How many 46's are in 80? The answer is 1.
Write down the calculated result in the upper part of the table.
Now, 80-1 \cdot 46 = 80 - 46= 34.
Bring down the next digit of the dividend.
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Step 29
How many 46's are in 340? The answer is 7.
Write down the calculated result in the upper part of the table.
Now, 340-7 \cdot 46 = 340 - 322= 18.
Bring down the next digit of the dividend.
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Step 30
How many 46's are in 180? The answer is 3.
Write down the calculated result in the upper part of the table.
Now, 180-3 \cdot 46 = 180 - 138= 42.
Bring down the next digit of the dividend.
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Step 31
How many 46's are in 420? The answer is 9.
Write down the calculated result in the upper part of the table.
Now, 420-9 \cdot 46 = 420 - 414= 6.
Bring down the next digit of the dividend.
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Step 32
How many 46's are in 60? The answer is 1.
Write down the calculated result in the upper part of the table.
Now, 60-1 \cdot 46 = 60 - 46= 14.
Bring down the next digit of the dividend.
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Step 33
How many 46's are in 140? The answer is 3.
Write down the calculated result in the upper part of the table.
Now, 140-3 \cdot 46 = 140 - 138= 2.
Bring down the next digit of the dividend.
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Step 34
How many 46's are in 20? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 20-0 \cdot 46 = 20 - 0= 20.
Bring down the next digit of the dividend.
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Step 35
How many 46's are in 200? The answer is 4.
Write down the calculated result in the upper part of the table.
Now, 200-4 \cdot 46 = 200 - 184= 16.
Bring down the next digit of the dividend.
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Step 36
How many 46's are in 160? The answer is 3.
Write down the calculated result in the upper part of the table.
Now, 160-3 \cdot 46 = 160 - 138= 22.
Bring down the next digit of the dividend.
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Step 37
How many 46's are in 220? The answer is 4.
Write down the calculated result in the upper part of the table.
Now, 220-4 \cdot 46 = 220 - 184= 36.
Bring down the next digit of the dividend.
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Step 38
How many 46's are in 360? The answer is 7.
Write down the calculated result in the upper part of the table.
Now, 360-7 \cdot 46 = 360 - 322= 38.
Bring down the next digit of the dividend.
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Step 39
How many 46's are in 380? The answer is 8.
Write down the calculated result in the upper part of the table.
Now, 380-8 \cdot 46 = 380 - 368= 12.
Bring down the next digit of the dividend.
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Step 40
How many 46's are in 120? The answer is 2.
Write down the calculated result in the upper part of the table.
Now, 120-2 \cdot 46 = 120 - 92= 28.
Bring down the next digit of the dividend.
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Step 41
How many 46's are in 280? The answer is 6.
Write down the calculated result in the upper part of the table.
Now, 280-6 \cdot 46 = 280 - 276= 4.
Bring down the next digit of the dividend.
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Step 42
How many 46's are in 40? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 40-0 \cdot 46 = 40 - 0= 40.
Bring down the next digit of the dividend.
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Step 43
How many 46's are in 400? The answer is 8.
Write down the calculated result in the upper part of the table.
Now, 400-8 \cdot 46 = 400 - 368= 32.
Bring down the next digit of the dividend.
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Step 44
How many 46's are in 320? The answer is 6.
Write down the calculated result in the upper part of the table.
Now, 320-6 \cdot 46 = 320 - 276= 44.
Bring down the next digit of the dividend.
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Step 45
How many 46's are in 440? The answer is 9.
Write down the calculated result in the upper part of the table.
Now, 440-9 \cdot 46 = 440 - 414= 26.
Bring down the next digit of the dividend.
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Step 46
How many 46's are in 260? The answer is 5.
Write down the calculated result in the upper part of the table.
Now, 260-5 \cdot 46 = 260 - 230= 30.
Bring down the next digit of the dividend.
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Step 47
How many 46's are in 300? The answer is 6.
Write down the calculated result in the upper part of the table.
Now, 300-6 \cdot 46 = 300 - 276= 24.
Bring down the next digit of the dividend.
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Step 48
How many 46's are in 240? The answer is 5.
Write down the calculated result in the upper part of the table.
Now, 240-5 \cdot 46 = 240 - 230= 10.
Bring down the next digit of the dividend.
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Step 49
How many 46's are in 100? The answer is 2.
Write down the calculated result in the upper part of the table.
Now, 100-2 \cdot 46 = 100 - 92= 8.
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As can be seen, the digits are repeating with some period, therefore it is a repeating (or recurring) decimal: \frac{3000}{46}=65.2 \overline{1739130434782608695652}
Answer: \frac{3000}{46}=65.2\overline{1739130434782608695652}