Maths / Arithmetic
Long Division Calculator (with Steps)
Divide whole numbers by long division with every step laid out the way it is written at school, with a remainder or continued to decimal places, and see whether the decimal ends or repeats.
Long Division Calculator (with Steps): The working goes digit by digit: bring down the next digit, find how many times the divisor fits, write that digit in the answer, multiply back, and subtract. 1234 ÷ 7 gives 176 remainder 2: 7 into 12 goes 1 (remainder 5), into 53 goes 7 (remainder 4), into 44 goes 6 (remainder 2). Bringing down zeros continues into decimals, 176.285…, and the tool finds the repeating block, here 176.(285714). Runs 100% locally in your browser with zero server file uploads.
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Long division works one digit at a time: bring down the next digit, see how many times the divisor goes into the number you have, write that digit in the answer, multiply it back, and subtract to get what is left over. After the last digit, either stop with a remainder or carry on into decimal places by bringing down zeros. A fraction whose divisor has prime factors other than 2 and 5 never ends: its digits repeat.
Worked example
845 ÷ 5: 5 into 8 goes 1, remainder 3; bring down 4 to make 34, 5 goes 6 times, remainder 4; bring down 5 to make 45, 5 goes 9 times, remainder 0. The answer is 169 exactly.
To write the answer as a fraction instead, use the fraction calculator.
Short division
With a one-digit divisor, many people use short division: the same steps, writing each remainder as a small carry next to the following digit instead of subtracting below.
Recurring decimals convert back to fractions with the decimal to fraction tool.
How to use it
- Enter the number to divide and the number to divide by.
- Choose 0 decimal places for an answer with a remainder, or more to continue past the point.
- Read the answer and follow the working underneath.
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Related tools
Frequently asked questions
How do I check a long division?
Multiply the answer by the divisor and add the remainder: 176 × 7 + 2 = 1234.
Why do some decimals never end?
A fraction in lowest terms ends only if its divisor's prime factors are 2s and 5s; otherwise the digits repeat, like 1 ÷ 3 = 0.333… or 1 ÷ 7 = 0.142857142857…
What are the brackets in the decimal?
They mark the digits that repeat forever: 0.1(6) means 0.1666…
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