Long Division Calculator guide
Long Division Calculator: Step by Step with Remainders
Use our long division calculator to divide whole numbers step by step, with the quotient, remainder, mixed number and decimal answer.
By the AllCalculator editorial teamUpdated 16 October 20261 min read
Long division breaks a big division into small, easy steps. Our Long Division Calculator shows every step, just like on paper.
How to use the calculator (Long Division Calculator)
- Enter the dividend: the number being divided.
- Enter the divisor: the number you're dividing by.
You'll see the quotient and remainder, a table of each step, the answer as a mixed number and the decimal.
How long division works
Work from left to right through the digits of the dividend:
- Bring down the next digit.
- Divide by the divisor and write the whole-number answer on top.
- Multiply that answer by the divisor.
- Subtract to find what's left, then bring down the next digit.
When you run out of digits, what's left is the remainder.
A worked example
With the calculator's default settings, 7,452 ÷ 12:
- 7 ÷ 12 = 0, remainder 7
- 74 ÷ 12 = 6, remainder 2
- 25 ÷ 12 = 2, remainder 1
- 12 ÷ 12 = 1, remainder 0
So 7,452 ÷ 12 = 621 exactly.
Recurring decimals
If there's a remainder, the decimal may repeat forever. The calculator shows repeating digits in brackets: 1 ÷ 7 = 0.(142857), meaning 0.142857142857…
Frequently asked questions
How do I check my answer?
Multiply the quotient by the divisor and add the remainder. You should get the dividend.
What's short division?
The same method with the working done in your head. It's handy for single-digit divisors.
How do I write a remainder as a fraction?
Put the remainder over the divisor. 10 ÷ 3 = 3 r 1 = 3⅓.
Sources and further reading
Links open official and independent websites in a new tab.
This guide is general information to help you understand your options. It isn't financial, tax, legal or building advice and doesn't take your personal circumstances into account. Figures were checked when the guide was last updated and can change, so confirm anything important with GOV.UK, HMRC, a regulated adviser or a qualified tradesperson.