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Long Division Calculator

Long division worked out step by step, as you would write it.

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The working

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Step by step

StepBring downDivideSubtractLeft

Quotient

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Details

Remainder—
As a mixed number—
Exact decimal—
Divides evenly?—

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Recurring block, if the decimal repeats

A fraction terminates only when its denominator has no prime factors besides 2 and 5. Every other denominator produces a recurring block, which is detected and marked here. Decimal divisors are handled by scaling both numbers by the same power of ten — the standard manual technique.

Quick Tool Overview

The Long Division Calculator works division out step by step, exactly as it would be written by hand — each digit brought down, each partial product subtracted, and the remainder at the bottom. Division can continue past the decimal point, with recurring blocks marked.

What it does
Performs long division showing every step
You give it
A dividend, a divisor and how many decimal places
You get back
The full working, quotient, remainder and decimals
Best for
Learning the method and checking hand-written working
Calculators Free, unlimited use No sign-up Runs in your browser

About the Long Division Calculator

Carry out long division and see every step laid out the way it would be written by hand: each digit brought down, each partial product subtracted, and the remainder that survives at the bottom.

It is written for learning rather than just answering, so the working is the output rather than a footnote to it. Division can be continued past the decimal point to any number of places, and where the decimal expansion repeats the recurring block is detected and marked — a rational number always either terminates or repeats, and seeing where the cycle begins tends to make that fact stick better than being told it.

Key features of the Long Division Calculator

The working is the output

Every bring-down, multiply and subtract is laid out in order, not summarised into a single answer.

Recurring decimals detected

Where the expansion repeats, the cycle is identified and marked rather than truncated arbitrarily.

Remainder or decimals

Stop at a whole-number remainder, or continue to as many decimal places as you want.

Decimal divisors handled

Both numbers are scaled by the same power of ten first, which is the standard manual technique.

Built for learning

Written for someone trying to understand the method, not just to get past the question.

How to use the Long Division Calculator

  1. 1

    Enter the dividend

    The number being divided — the one that goes inside the bracket.

  2. 2

    Enter the divisor

    The number you are dividing by.

  3. 3

    Choose the decimal places

    Set how far past the decimal point to continue, or stop at a whole-number remainder.

  4. 4

    Read the working

    Each step is shown in order, with the quotient, remainder and any recurring block identified.

Frequently asked questions

Take digits of the dividend from the left until they exceed the divisor, divide, write the digit above, multiply back, subtract, then bring down the next digit and repeat.

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