Long Division Calculator
Enter a dividend and a divisor to get the answer as a whole number with a remainder and as a decimal, with each step of the long division shown. Repeating decimals are spotted for you.
Decimals are allowed. 12.5 divided by 0.5 is worked as 125 divided by 5.
Worked examples
With a remainder
1234 ÷ 7
176 remainder 2, or 176.(285714)
7 × 176 = 1,232, which leaves 2. The decimal repeats 285714.
A repeating decimal
1 ÷ 7
0.(142857)
The remainders repeat after six steps, so the digits 142857 repeat for ever.
About Long Division Calculator
Long division is the written method for dividing one number by another when the answer is not obvious. You work from the left of the dividend, find how many times the divisor goes into the digits so far, write that digit in the answer, subtract, and bring down the next digit. This calculator does exactly that and lays the steps out in a table, so you can follow the method or check your own working line by line.
You get the answer in two forms: a whole number with a remainder, and a decimal. If the division does not come out evenly, you can carry on past the decimal point for up to 30 places. When the same remainder turns up again, the decimal must repeat for ever, and the repeating digits are shown in brackets, so 1 divided by 7 is 0.(142857). Decimals and negative numbers are allowed in both boxes.
How to use Long Division Calculator
- Type the number to be divided into the Dividend box.
- Type the number you are dividing by into the Divisor box.
- Choose how many decimal places you would like the working to continue to.
- Read the whole number part, the remainder and the decimal, then follow the table to see each step.
Common uses
- Checking long division homework step by step
- Finding a remainder for sharing items into equal groups
- Spotting repeating decimals such as thirds and sevenths
- Dividing by a decimal, for example price per unit
Frequently asked questions
What is the difference between the quotient and the remainder?
The quotient is how many whole times the divisor goes into the dividend, and the remainder is what is left over. For 1,234 divided by 7, the quotient is 176 and the remainder is 2, because 7 times 176 is 1,232.
How are decimals in the dividend or divisor handled?
Both numbers are multiplied by the same power of ten until they are whole numbers, which does not change the answer. So 12.5 divided by 0.5 is worked as 125 divided by 5, which is 25.
What do the brackets in the decimal mean?
They mark the digits that repeat for ever. 0.(3) is 0.3333 and so on, and 0.1(6) is 0.16666 and so on. The page spots this when a remainder appears for a second time.
Can the divisor be larger than the dividend?
Yes. The whole number part is then 0 and the dividend itself is the remainder. Carrying on past the decimal point gives the decimal answer, for example 3 divided by 8 is 0.375.
Can I divide by zero?
No. Dividing by zero has no answer, so the page shows a message instead.