Calculatrice de fractions à décimales

Your input: convert $\frac{5600}{80}$ into a decimal.

Write the problem in the special format:

$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccc}\phantom{7}&\phantom{0}&\phantom{.}&\phantom{0}\end{array}&\\80&\phantom{-}\enclose{longdiv}{\begin{array}{cccc}5&6&0&0\end{array}}&\\&\begin{array}{llll}\end{array}&\begin{array}{c}\end{array}\end{array}$

Step 1

How many $80$'s are in $5$? The answer is $0$.

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

Now, $5-0 \cdot 80 = 5 - 0= 5$.

Bring down the next digit of the dividend.

$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccc}\color{SaddleBrown}{0}&\phantom{0}&\phantom{7}&\phantom{0}&\phantom{.}&\phantom{0}\end{array}&\\\color{Magenta}{80}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccc}\color{SaddleBrown}{5}& 6 \downarrow&0&0&.&0\end{array}}&\\&\begin{array}{lllll}-&\phantom{6}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}5&6&\phantom{.}\end{array}&\begin{array}{c}\end{array}\end{array}$

Step 2

How many $80$'s are in $56$? The answer is $0$.

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

Now, $56-0 \cdot 80 = 56 - 0= 56$.

Bring down the next digit of the dividend.

$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccc}0&\color{Green}{0}&\phantom{7}&\phantom{0}&\phantom{.}&\phantom{0}\end{array}&\\\color{Magenta}{80}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccc}5&6& 0 \downarrow&0&.&0\end{array}}&\\&\begin{array}{lllll}-&\phantom{6}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}\color{Green}{5}&\color{Green}{6}&\phantom{.}\\-&\phantom{6}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}&0&\phantom{.}\\\hline\phantom{lll}5&6&0&\phantom{.}\end{array}&\begin{array}{c}\end{array}\end{array}$

Step 3

How many $80$'s are in $560$? The answer is $7$.

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

Now, $560-7 \cdot 80 = 560 - 560= 0$.

Bring down the next digit of the dividend.

$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccc}0&0&\color{Blue}{7}&\phantom{0}&\phantom{.}&\phantom{0}\end{array}&\\\color{Magenta}{80}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccc}5&6&0& 0 \downarrow&.&0\end{array}}&\\&\begin{array}{lllll}-&\phantom{6}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}5&6&\phantom{.}\\-&\phantom{6}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}&0&\phantom{.}\\\hline\phantom{lll}\color{Blue}{5}&\color{Blue}{6}&\color{Blue}{0}&\phantom{.}\\-&\phantom{6}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}5&6&0&\phantom{.}\\\hline\phantom{lll}&&0&0&\phantom{.}\end{array}&\begin{array}{c}\end{array}\end{array}$

Step 4

How many $80$'s are in $0$? The answer is $0$.

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

Now, $0-0 \cdot 80 = 0 - 0= 0$.

Bring down the next digit of the dividend.

$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccc}0&0&7&\color{GoldenRod}{0}&\phantom{.}&\phantom{0}\end{array}&\\\color{Magenta}{80}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccc}5&6&0&0&.& 0 \downarrow\end{array}}&\\&\begin{array}{lllll}-&\phantom{6}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}5&6&\phantom{.}\\-&\phantom{6}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}&0&\phantom{.}\\\hline\phantom{lll}5&6&0&\phantom{.}\\-&\phantom{6}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}5&6&0&\phantom{.}\\\hline\phantom{lll}&&\color{GoldenRod}{0}&\color{GoldenRod}{0}&\phantom{.}\\&-&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}\\\phantom{lll}&&&0&\phantom{.}\\\hline\phantom{lll}&&&0&\phantom{.}&0\end{array}&\begin{array}{c}\end{array}\end{array}$

Step 5

How many $80$'s are in $0$? The answer is $0$.

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

Now, $0-0 \cdot 80 = 0 - 0= 0$.

$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccc}0&0&7&0&.&\color{OrangeRed}{0}\end{array}&\\\color{Magenta}{80}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccc}5&6&0&0&.&0\end{array}}&\\&\begin{array}{lllll}-&\phantom{6}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}5&6&\phantom{.}\\-&\phantom{6}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}&0&\phantom{.}\\\hline\phantom{lll}5&6&0&\phantom{.}\\-&\phantom{6}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}5&6&0&\phantom{.}\\\hline\phantom{lll}&&0&0&\phantom{.}\\&-&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}\\\phantom{lll}&&&0&\phantom{.}\\\hline\phantom{lll}&&&\color{OrangeRed}{0}&\phantom{.}&\color{OrangeRed}{0}\\&&-&\phantom{0}&\phantom{.}&\phantom{0}\\\phantom{lll}&&&&\phantom{.}&0\\\hline\phantom{lll}&&&&&0\end{array}&\begin{array}{c}\end{array}\end{array}$

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

Therefore, $\frac{5600}{80}=70.0$

Answer: $\frac{5600}{80}=70.0$