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Long Division Calculator
Perform the long division of numbers step by step
The calculator will divide any two numbers (positive or negative, integer or decimal), with steps shown. Enter the dividend and the divisor and get the quotient to the given precision without remainder or quotient with remainder.
Related calculator: Polynomial Long Division Calculator
Solution
Your input: find $$$\frac{408}{160}$$$ using long division.
Write the problem in the special format:
$$$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{ccc}\phantom{0}&\phantom{0}&\phantom{2}\end{array}&\\160&\phantom{-}\enclose{longdiv}{\begin{array}{ccc}4&0&8\end{array}}&\\&\begin{array}{lll}\end{array}&\begin{array}{c}\end{array}\end{array}$$$
Step 1
How many $$$160$$$'s are in $$$4$$$? The answer is $$$0$$$.
Write down the calculated result in the upper part of the table.
Now, $$$4-0 \cdot 160 = 4 - 0= 4$$$.
Bring down the next digit of the dividend.
$$$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{ccc}\color{Chartreuse}{0}&\phantom{0}&\phantom{2}\end{array}&\\\color{Magenta}{160}&\phantom{-}\enclose{longdiv}{\begin{array}{ccc}\color{Chartreuse}{4}& 0 \downarrow&8\end{array}}&\\&\begin{array}{lll}-&\phantom{0}&\phantom{8}\\\phantom{lll}0\\\hline\phantom{lll}4&0\end{array}&\begin{array}{c}\end{array}\end{array}$$$
Step 2
How many $$$160$$$'s are in $$$40$$$? The answer is $$$0$$$.
Write down the calculated result in the upper part of the table.
Now, $$$40-0 \cdot 160 = 40 - 0= 40$$$.
Bring down the next digit of the dividend.
$$$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{ccc}0&\color{GoldenRod}{0}&\phantom{2}\end{array}&\\\color{Magenta}{160}&\phantom{-}\enclose{longdiv}{\begin{array}{ccc}4&0& 8 \downarrow\end{array}}&\\&\begin{array}{lll}-&\phantom{0}&\phantom{8}\\\phantom{lll}0\\\hline\phantom{lll}\color{GoldenRod}{4}&\color{GoldenRod}{0}\\-&\phantom{0}&\phantom{8}\\\phantom{lll}&0\\\hline\phantom{lll}4&0&8\end{array}&\begin{array}{c}\end{array}\end{array}$$$
Step 3
How many $$$160$$$'s are in $$$408$$$? The answer is $$$2$$$.
Write down the calculated result in the upper part of the table.
Now, $$$408-2 \cdot 160 = 408 - 320= 88$$$.
$$$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{ccc}0&0&\color{DarkCyan}{2}\end{array}&\\\color{Magenta}{160}&\phantom{-}\enclose{longdiv}{\begin{array}{ccc}4&0&8\end{array}}&\\&\begin{array}{lll}-&\phantom{0}&\phantom{8}\\\phantom{lll}0\\\hline\phantom{lll}4&0\\-&\phantom{0}&\phantom{8}\\\phantom{lll}&0\\\hline\phantom{lll}\color{DarkCyan}{4}&\color{DarkCyan}{0}&\color{DarkCyan}{8}\\-&\phantom{0}&\phantom{8}\\\phantom{lll}3&2&0\\\hline\phantom{lll}&8&8\end{array}&\begin{array}{c}\end{array}\end{array}$$$
Since the remainder is greater than the divisor, then we are done.
Therefore, $$$\frac{408}{160}=2+\frac{88}{160}=2+\frac{11}{20}$$$
Answer: $$$\frac{408}{160}=2+\frac{11}{20}$$$