Fraction to Decimal Calculator

Your input: convert $\frac{2500}{32}$ into a decimal.

Write the problem in the special format:

$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccc}\phantom{7}&\phantom{8}&\phantom{.}&\phantom{1}&\phantom{2}&\phantom{5}\end{array}&\\32&\phantom{-}\enclose{longdiv}{\begin{array}{cccc}2&5&0&0\end{array}}&\\&\begin{array}{llll}\end{array}&\begin{array}{c}\end{array}\end{array}$

Step 1

How many $32$'s are in $2$? The answer is $0$.

Write down the calculated result in the upper part of the table.

Now, $2-0 \cdot 32 = 2 - 0= 2$.

Bring down the next digit of the dividend.

$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccccc}\color{GoldenRod}{0}&\phantom{0}&\phantom{7}&\phantom{8}&\phantom{.}&\phantom{1}&\phantom{2}&\phantom{5}\end{array}&\\\color{Magenta}{32}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccccc}\color{GoldenRod}{2}& 5 \downarrow&0&0&.&0&0&0\end{array}}&\\&\begin{array}{lllllll}-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}2&5&\phantom{.}\end{array}&\begin{array}{c}\end{array}\end{array}$

Step 2

How many $32$'s are in $25$? The answer is $0$.

Write down the calculated result in the upper part of the table.

Now, $25-0 \cdot 32 = 25 - 0= 25$.

Bring down the next digit of the dividend.

$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccccc}0&\color{Chartreuse}{0}&\phantom{7}&\phantom{8}&\phantom{.}&\phantom{1}&\phantom{2}&\phantom{5}\end{array}&\\\color{Magenta}{32}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccccc}2&5& 0 \downarrow&0&.&0&0&0\end{array}}&\\&\begin{array}{lllllll}-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}\color{Chartreuse}{2}&\color{Chartreuse}{5}&\phantom{.}\\-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}\\\phantom{lll}&0&\phantom{.}\\\hline\phantom{lll}2&5&0&\phantom{.}\end{array}&\begin{array}{c}\end{array}\end{array}$

Step 3

How many $32$'s are in $250$? The answer is $7$.

Write down the calculated result in the upper part of the table.

Now, $250-7 \cdot 32 = 250 - 224= 26$.

Bring down the next digit of the dividend.

$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccccc}0&0&\color{Violet}{7}&\phantom{8}&\phantom{.}&\phantom{1}&\phantom{2}&\phantom{5}\end{array}&\\\color{Magenta}{32}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccccc}2&5&0& 0 \downarrow&.&0&0&0\end{array}}&\\&\begin{array}{lllllll}-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}2&5&\phantom{.}\\-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}\\\phantom{lll}&0&\phantom{.}\\\hline\phantom{lll}\color{Violet}{2}&\color{Violet}{5}&\color{Violet}{0}&\phantom{.}\\-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}\\\phantom{lll}2&2&4&\phantom{.}\\\hline\phantom{lll}&2&6&0&\phantom{.}\end{array}&\begin{array}{c}\end{array}\end{array}$

Step 4

How many $32$'s are in $260$? The answer is $8$.

Write down the calculated result in the upper part of the table.

Now, $260-8 \cdot 32 = 260 - 256= 4$.

Bring down the next digit of the dividend.

$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccccc}0&0&7&\color{BlueViolet}{8}&\phantom{.}&\phantom{1}&\phantom{2}&\phantom{5}\end{array}&\\\color{Magenta}{32}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccccc}2&5&0&0&.& 0 \downarrow&0&0\end{array}}&\\&\begin{array}{lllllll}-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}2&5&\phantom{.}\\-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}\\\phantom{lll}&0&\phantom{.}\\\hline\phantom{lll}2&5&0&\phantom{.}\\-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}\\\phantom{lll}2&2&4&\phantom{.}\\\hline\phantom{lll}&\color{BlueViolet}{2}&\color{BlueViolet}{6}&\color{BlueViolet}{0}&\phantom{.}\\-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&2&5&6&\phantom{.}\\\hline\phantom{lll}&&&4&\phantom{.}&0\end{array}&\begin{array}{c}\end{array}\end{array}$

Step 5

How many $32$'s are in $40$? The answer is $1$.

Write down the calculated result in the upper part of the table.

Now, $40-1 \cdot 32 = 40 - 32= 8$.

Bring down the next digit of the dividend.

$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccccc}0&0&7&8&.&\color{Red}{1}&\phantom{2}&\phantom{5}\end{array}&\\\color{Magenta}{32}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccccc}2&5&0&0&.&0& 0 \downarrow&0\end{array}}&\\&\begin{array}{lllllll}-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}2&5&\phantom{.}\\-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}\\\phantom{lll}&0&\phantom{.}\\\hline\phantom{lll}2&5&0&\phantom{.}\\-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}\\\phantom{lll}2&2&4&\phantom{.}\\\hline\phantom{lll}&2&6&0&\phantom{.}\\-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&2&5&6&\phantom{.}\\\hline\phantom{lll}&&&\color{Red}{4}&\phantom{.}&\color{Red}{0}\\&&-&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&3&\phantom{.}&2\\\hline\phantom{lll}&&&&&8&0\end{array}&\begin{array}{c}\end{array}\end{array}$

Step 6

How many $32$'s are in $80$? The answer is $2$.

Write down the calculated result in the upper part of the table.

Now, $80-2 \cdot 32 = 80 - 64= 16$.

Bring down the next digit of the dividend.

$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccccc}0&0&7&8&.&1&\color{DarkMagenta}{2}&\phantom{5}\end{array}&\\\color{Magenta}{32}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccccc}2&5&0&0&.&0&0& 0 \downarrow\end{array}}&\\&\begin{array}{lllllll}-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}2&5&\phantom{.}\\-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}\\\phantom{lll}&0&\phantom{.}\\\hline\phantom{lll}2&5&0&\phantom{.}\\-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}\\\phantom{lll}2&2&4&\phantom{.}\\\hline\phantom{lll}&2&6&0&\phantom{.}\\-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&2&5&6&\phantom{.}\\\hline\phantom{lll}&&&4&\phantom{.}&0\\&&-&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&3&\phantom{.}&2\\\hline\phantom{lll}&&&&&\color{DarkMagenta}{8}&\color{DarkMagenta}{0}\\&&&&-&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&6&4\\\hline\phantom{lll}&&&&&1&6&0\end{array}&\begin{array}{c}\end{array}\end{array}$

Step 7

How many $32$'s are in $160$? The answer is $5$.

Write down the calculated result in the upper part of the table.

Now, $160-5 \cdot 32 = 160 - 160= 0$.

$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccccc}0&0&7&8&.&1&2&\color{DarkCyan}{5}\end{array}&\\\color{Magenta}{32}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccccc}2&5&0&0&.&0&0&0\end{array}}&\\&\begin{array}{lllllll}-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}2&5&\phantom{.}\\-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}\\\phantom{lll}&0&\phantom{.}\\\hline\phantom{lll}2&5&0&\phantom{.}\\-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}\\\phantom{lll}2&2&4&\phantom{.}\\\hline\phantom{lll}&2&6&0&\phantom{.}\\-&\phantom{5}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&2&5&6&\phantom{.}\\\hline\phantom{lll}&&&4&\phantom{.}&0\\&&-&\phantom{0}&\phantom{.}&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&3&\phantom{.}&2\\\hline\phantom{lll}&&&&&8&0\\&&&&-&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&6&4\\\hline\phantom{lll}&&&&&\color{DarkCyan}{1}&\color{DarkCyan}{6}&\color{DarkCyan}{0}\\&&&&-&\phantom{0}&\phantom{0}&\phantom{0}\\\phantom{lll}&&&&&1&6&0\\\hline\phantom{lll}&&&&&&&0\end{array}&\begin{array}{c}\end{array}\end{array}$

Since the remainder is $0$, then we are done.

Therefore, $\frac{2500}{32}=78.125$

Answer: $\frac{2500}{32}=78.125$