Long Division Calculator

Long division breaks a hard division into small steps, working from the leftmost digit: divide, multiply, subtract, then bring down the next digit. This calculator shows every step for whole numbers, gives the quotient and remainder, and also writes the answer as a decimal and as a mixed number.

How to use the long division calculator

Enter the dividend (the number being divided).
Enter the divisor.
Press Calculate to see each step of the long division.

Formula

\text{dividend} = \text{divisor} \times \text{quotient} + \text{remainder}

Worked example: 7385 ÷ 23

Dividend: 7385
Divisor: 23

✓ Answer checked

7385 \div 23 = 321 \text{ r } 2

As a decimal: $\approx 321.08695652$
As a mixed number: $321\tfrac{2}{23}$

Step-by-step working (2 steps)

Divide digit by digit Long division
Work from the left: divide, multiply, subtract, bring down the next digit.
$\begin{gathered}\text{bring down } 3: \; 73 \div 23 = 3 \text{ r } 4\\\text{bring down } 8: \; 48 \div 23 = 2 \text{ r } 2\\\text{bring down } 5: \; 25 \div 23 = 1 \text{ r } 2\end{gathered}$
Result
The digits on top form the quotient; what is left is the remainder.
$321 \text{ remainder } 2$

How this was checked

✓ 321 × 23 + 2 = 7385.

Frequently asked questions

What are the steps of long division?

Divide, multiply, subtract, bring down, and repeat until there are no digits left.

What is 7385 ÷ 23?

321 remainder 2, because 23 × 321 = 7383.

How do I continue into decimals?

Add a decimal point and zeros to the dividend and keep bringing down zeros.

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