Калькулятор переведення дробів у десяткові дроби
Покрокове перетворення дробів у десяткові
Калькулятор перетворить заданий дріб (правильний або неправильний) або мішане число в десятковий дріб (можливо, повторюваний або періодичний), з показаними кроками.
Solution
Your input: convert 260035 into a decimal.
Write the problem in the special format:
−74.285714285714235−2600
Step 1
How many 35's are in 2? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 2−0⋅35=2−0=2.
Bring down the next digit of the dividend.
−0074.285714285714235−26↓00.0000000000000−6000.000000000000lll0.lll26.
Step 2
How many 35's are in 26? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 26−0⋅35=26−0=26.
Bring down the next digit of the dividend.
−0074.285714285714235−260↓0.0000000000000−6000.000000000000lll0.lll26.−6000.000000000000lll0.lll260.
Step 3
How many 35's are in 260? The answer is 7.
Write down the calculated result in the upper part of the table.
Now, 260−7⋅35=260−245=15.
Bring down the next digit of the dividend.
−0074.285714285714235−2600↓.0000000000000−6000.000000000000lll0.lll26.−6000.000000000000lll0.lll260.−6000.000000000000lll245.lll150.
Step 4
How many 35's are in 150? The answer is 4.
Write down the calculated result in the upper part of the table.
Now, 150−4⋅35=150−140=10.
Bring down the next digit of the dividend.
−0074.285714285714235−2600.0↓000000000000−6000.000000000000lll0.lll26.−6000.000000000000lll0.lll260.−6000.000000000000lll245.lll150.−600.0000000000000lll140.lll10.0
Step 5
How many 35's are in 100? The answer is 2.
Write down the calculated result in the upper part of the table.
Now, 100−2⋅35=100−70=30.
Bring down the next digit of the dividend.
−0074.285714285714235−2600.00↓00000000000−6000.000000000000lll0.lll26.−6000.000000000000lll0.lll260.−6000.000000000000lll245.lll150.−600.0000000000000lll140.lll10.0−00.0000000000000lll.70lll3.00
Step 6
How many 35's are in 300? The answer is 8.
Write down the calculated result in the upper part of the table.
Now, 300−8⋅35=300−280=20.
Bring down the next digit of the dividend.
−0074.285714285714235−2600.000↓0000000000−6000.000000000000lll0.lll26.−6000.000000000000lll0.lll260.−6000.000000000000lll245.lll150.−600.0000000000000lll140.lll10.0−00.0000000000000lll.70lll3.00−0.0000000000000lll2.80lll200
Step 7
How many 35's are in 200? The answer is 5.
Write down the calculated result in the upper part of the table.
Now, 200−5⋅35=200−175=25.
Bring down the next digit of the dividend.
−0074.285714285714235−2600.0000↓000000000−6000.000000000000lll0.lll26.−6000.000000000000lll0.lll260.−6000.000000000000lll245.lll150.−600.0000000000000lll140.lll10.0−00.0000000000000lll.70lll3.00−0.0000000000000lll2.80lll200−0000000000000lll175lll250
Step 8
How many 35's are in 250? The answer is 7.
Write down the calculated result in the upper part of the table.
Now, 250−7⋅35=250−245=5.
Bring down the next digit of the dividend.
−0074.285714285714235−2600.00000↓00000000−6000.000000000000lll0.lll26.−6000.000000000000lll0.lll260.−6000.000000000000lll245.lll150.−600.0000000000000lll140.lll10.0−00.0000000000000lll.70lll3.00−0.0000000000000lll2.80lll200−0000000000000lll175lll250−000000000000lll245lll50
Step 9
How many 35's are in 50? The answer is 1.
Write down the calculated result in the upper part of the table.
Now, 50−1⋅35=50−35=15.
Bring down the next digit of the dividend.
−0074.285714285714235−2600.000000↓0000000−6000.000000000000lll0.lll26.−6000.000000000000lll0.lll260.−6000.000000000000lll245.lll150.−600.0000000000000lll140.lll10.0−00.0000000000000lll.70lll3.00−0.0000000000000lll2.80lll200−0000000000000lll175lll250−000000000000lll245lll50−0000000000lll35lll150
Step 10
How many 35's are in 150? The answer is 4.
Write down the calculated result in the upper part of the table.
Now, 150−4⋅35=150−140=10.
Bring down the next digit of the dividend.
−0074.285714285714235−2600.0000000↓000000−6000.000000000000lll0.lll26.−6000.000000000000lll0.lll260.−6000.000000000000lll245.lll150.−600.0000000000000lll140.lll10.0−00.0000000000000lll.70lll3.00−0.0000000000000lll2.80lll200−0000000000000lll175lll250−000000000000lll245lll50−0000000000lll35lll150−0000000000lll140lll100
Step 11
How many 35's are in 100? The answer is 2.
Write down the calculated result in the upper part of the table.
Now, 100−2⋅35=100−70=30.
Bring down the next digit of the dividend.
−0074.285714285714235−2600.00000000↓00000−6000.000000000000lll0.lll26.−6000.000000000000lll0.lll260.−6000.000000000000lll245.lll150.−600.0000000000000lll140.lll10.0−00.0000000000000lll.70lll3.00−0.0000000000000lll2.80lll200−0000000000000lll175lll250−000000000000lll245lll50−0000000000lll35lll150−0000000000lll140lll100−000000000lll70lll300
Step 12
How many 35's are in 300? The answer is 8.
Write down the calculated result in the upper part of the table.
Now, 300−8⋅35=300−280=20.
Bring down the next digit of the dividend.
−0074.285714285714235−2600.000000000↓0000−6000.000000000000lll0.lll26.−6000.000000000000lll0.lll260.−6000.000000000000lll245.lll150.−600.0000000000000lll140.lll10.0−00.0000000000000lll.70lll3.00−0.0000000000000lll2.80lll200−0000000000000lll175lll250−000000000000lll245lll50−0000000000lll35lll150−0000000000lll140lll100−000000000lll70lll300−00000000lll280lll200
Step 13
How many 35's are in 200? The answer is 5.
Write down the calculated result in the upper part of the table.
Now, 200-5 \cdot 35 = 200 - 175= 25.
Bring down the next digit of the dividend.
\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccccccccccccccc}0&0&7&4&.&2&8&5&7&1&4&2&8&\color{OrangeRed}{5}&\phantom{7}&\phantom{1}&\phantom{4}&\phantom{2}\end{array}&\\\color{Magenta}{35}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccccccccccccccc}2&6&0&0&.&0&0&0&0&0&0&0&0&0& 0 \downarrow&0&0&0\end{array}}&\\&\begin{array}{lllllllllllllllll}-&\phantom{6}&\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{lll}0&\phantom{.}\\\hline\phantom{lll}2&6&\phantom{.}\\-&\phantom{6}&\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{lll}&0&\phantom{.}\\\hline\phantom{lll}2&6&0&\phantom{.}\\-&\phantom{6}&\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{lll}2&4&5&\phantom{.}\\\hline\phantom{lll}&1&5&0&\phantom{.}\\-&\phantom{6}&\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{lll}&1&4&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{lll}&&&\phantom{.}&7&0\\\hline\phantom{lll}&&&3&\phantom{.}&0&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{lll}&&&2&\phantom{.}&8&0\\\hline\phantom{lll}&&&&&2&0&0\\&&&&-&\phantom{0}&\phantom{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&7&5\\\hline\phantom{lll}&&&&&&2&5&0\\&&&&&-&\phantom{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&4&5\\\hline\phantom{lll}&&&&&&&&5&0\\&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&3&5\\\hline\phantom{lll}&&&&&&&&1&5&0\\&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&1&4&0\\\hline\phantom{lll}&&&&&&&&&1&0&0\\&&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&&&7&0\\\hline\phantom{lll}&&&&&&&&&&3&0&0\\&&&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&&&2&8&0\\\hline\phantom{lll}&&&&&&&&&&&\color{OrangeRed}{2}&\color{OrangeRed}{0}&\color{OrangeRed}{0}\\&&&&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&&&&1&7&5\\\hline\phantom{lll}&&&&&&&&&&&&2&5&0\end{array}&\begin{array}{c}\end{array}\end{array}
Step 14
How many 35's are in 250? The answer is 7.
Write down the calculated result in the upper part of the table.
Now, 250-7 \cdot 35 = 250 - 245= 5.
Bring down the next digit of the dividend.
\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccccccccccccccc}0&0&7&4&.&2&8&5&7&1&4&2&8&5&\color{DarkBlue}{7}&\phantom{1}&\phantom{4}&\phantom{2}\end{array}&\\\color{Magenta}{35}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccccccccccccccc}2&6&0&0&.&0&0&0&0&0&0&0&0&0&0& 0 \downarrow&0&0\end{array}}&\\&\begin{array}{lllllllllllllllll}-&\phantom{6}&\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{lll}0&\phantom{.}\\\hline\phantom{lll}2&6&\phantom{.}\\-&\phantom{6}&\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{lll}&0&\phantom{.}\\\hline\phantom{lll}2&6&0&\phantom{.}\\-&\phantom{6}&\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{lll}2&4&5&\phantom{.}\\\hline\phantom{lll}&1&5&0&\phantom{.}\\-&\phantom{6}&\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{lll}&1&4&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{lll}&&&\phantom{.}&7&0\\\hline\phantom{lll}&&&3&\phantom{.}&0&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{lll}&&&2&\phantom{.}&8&0\\\hline\phantom{lll}&&&&&2&0&0\\&&&&-&\phantom{0}&\phantom{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&7&5\\\hline\phantom{lll}&&&&&&2&5&0\\&&&&&-&\phantom{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&4&5\\\hline\phantom{lll}&&&&&&&&5&0\\&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&3&5\\\hline\phantom{lll}&&&&&&&&1&5&0\\&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&1&4&0\\\hline\phantom{lll}&&&&&&&&&1&0&0\\&&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&&&7&0\\\hline\phantom{lll}&&&&&&&&&&3&0&0\\&&&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&&&2&8&0\\\hline\phantom{lll}&&&&&&&&&&&2&0&0\\&&&&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&&&&1&7&5\\\hline\phantom{lll}&&&&&&&&&&&&\color{DarkBlue}{2}&\color{DarkBlue}{5}&\color{DarkBlue}{0}\\&&&&&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&&&&&2&4&5\\\hline\phantom{lll}&&&&&&&&&&&&&&5&0\end{array}&\begin{array}{c}\end{array}\end{array}
Step 15
How many 35's are in 50? The answer is 1.
Write down the calculated result in the upper part of the table.
Now, 50-1 \cdot 35 = 50 - 35= 15.
Bring down the next digit of the dividend.
\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccccccccccccccc}0&0&7&4&.&2&8&5&7&1&4&2&8&5&7&\color{BlueViolet}{1}&\phantom{4}&\phantom{2}\end{array}&\\\color{Magenta}{35}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccccccccccccccc}2&6&0&0&.&0&0&0&0&0&0&0&0&0&0&0& 0 \downarrow&0\end{array}}&\\&\begin{array}{lllllllllllllllll}-&\phantom{6}&\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{lll}0&\phantom{.}\\\hline\phantom{lll}2&6&\phantom{.}\\-&\phantom{6}&\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{lll}&0&\phantom{.}\\\hline\phantom{lll}2&6&0&\phantom{.}\\-&\phantom{6}&\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{lll}2&4&5&\phantom{.}\\\hline\phantom{lll}&1&5&0&\phantom{.}\\-&\phantom{6}&\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{lll}&1&4&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{lll}&&&\phantom{.}&7&0\\\hline\phantom{lll}&&&3&\phantom{.}&0&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{lll}&&&2&\phantom{.}&8&0\\\hline\phantom{lll}&&&&&2&0&0\\&&&&-&\phantom{0}&\phantom{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&7&5\\\hline\phantom{lll}&&&&&&2&5&0\\&&&&&-&\phantom{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&4&5\\\hline\phantom{lll}&&&&&&&&5&0\\&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&3&5\\\hline\phantom{lll}&&&&&&&&1&5&0\\&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&1&4&0\\\hline\phantom{lll}&&&&&&&&&1&0&0\\&&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&&&7&0\\\hline\phantom{lll}&&&&&&&&&&3&0&0\\&&&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&&&2&8&0\\\hline\phantom{lll}&&&&&&&&&&&2&0&0\\&&&&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&&&&1&7&5\\\hline\phantom{lll}&&&&&&&&&&&&2&5&0\\&&&&&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&&&&&2&4&5\\\hline\phantom{lll}&&&&&&&&&&&&&&\color{BlueViolet}{5}&\color{BlueViolet}{0}\\&&&&&&&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&&&&&&&3&5\\\hline\phantom{lll}&&&&&&&&&&&&&&1&5&0\end{array}&\begin{array}{c}\end{array}\end{array}
Step 16
How many 35's are in 150? The answer is 4.
Write down the calculated result in the upper part of the table.
Now, 150-4 \cdot 35 = 150 - 140= 10.
Bring down the next digit of the dividend.
\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccccccccccccccc}0&0&7&4&.&2&8&5&7&1&4&2&8&5&7&1&\color{Crimson}{4}&\phantom{2}\end{array}&\\\color{Magenta}{35}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccccccccccccccc}2&6&0&0&.&0&0&0&0&0&0&0&0&0&0&0&0& 0 \downarrow\end{array}}&\\&\begin{array}{lllllllllllllllll}-&\phantom{6}&\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{lll}0&\phantom{.}\\\hline\phantom{lll}2&6&\phantom{.}\\-&\phantom{6}&\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{lll}&0&\phantom{.}\\\hline\phantom{lll}2&6&0&\phantom{.}\\-&\phantom{6}&\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{lll}2&4&5&\phantom{.}\\\hline\phantom{lll}&1&5&0&\phantom{.}\\-&\phantom{6}&\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{lll}&1&4&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{lll}&&&\phantom{.}&7&0\\\hline\phantom{lll}&&&3&\phantom{.}&0&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{lll}&&&2&\phantom{.}&8&0\\\hline\phantom{lll}&&&&&2&0&0\\&&&&-&\phantom{0}&\phantom{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&7&5\\\hline\phantom{lll}&&&&&&2&5&0\\&&&&&-&\phantom{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&4&5\\\hline\phantom{lll}&&&&&&&&5&0\\&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&3&5\\\hline\phantom{lll}&&&&&&&&1&5&0\\&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&1&4&0\\\hline\phantom{lll}&&&&&&&&&1&0&0\\&&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&&&7&0\\\hline\phantom{lll}&&&&&&&&&&3&0&0\\&&&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&&&2&8&0\\\hline\phantom{lll}&&&&&&&&&&&2&0&0\\&&&&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&&&&1&7&5\\\hline\phantom{lll}&&&&&&&&&&&&2&5&0\\&&&&&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&&&&&2&4&5\\\hline\phantom{lll}&&&&&&&&&&&&&&5&0\\&&&&&&&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&&&&&&&3&5\\\hline\phantom{lll}&&&&&&&&&&&&&&\color{Crimson}{1}&\color{Crimson}{5}&\color{Crimson}{0}\\&&&&&&&&&&&&&-&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&&&&&&&&&&1&4&0\\\hline\phantom{lll}&&&&&&&&&&&&&&&1&0&0\end{array}&\begin{array}{c}\end{array}\end{array}
Step 17
How many 35's are in 100? The answer is 2.
Write down the calculated result in the upper part of the table.
Now, 100-2 \cdot 35 = 100 - 70= 30.
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As can be seen, the digits are repeating with some period, therefore it is a repeating (or recurring) decimal: \frac{2600}{35}=74.2 \overline{857142}
Answer: \frac{2600}{35}=74.2\overline{857142}