Long Division Calculator
Long division with every step shown, remainder and repeating decimals.
About this tool
Enter a dividend and a divisor, and how many decimal places you'd like. The calculator gives the quotient and remainder, the decimal answer with any repeating digits in brackets, and a step-by-step working laid out in columns, followed by a check that multiplies back to the original number. Large dividends, up to 200 digits, are handled exactly.
How long division works
Long division breaks a hard division into a series of easy ones, working from left to right. Take enough digits of the dividend to make a number at least as big as the divisor, see how many times the divisor goes into it, write that digit in the answer, multiply, subtract, then bring down the next digit and repeat. For 7425 รท 12: 12 doesn't go into 7, so start with 74. It goes 6 times, 6 ร 12 = 72, leaving 2. Bring down the 2 to make 22; 12 goes once, leaving 10. Bring down the 5 to make 105; 12 goes 8 times, 96, leaving 9. The answer is 618 remainder 9. To keep going, add a decimal point and zeros: 90 รท 12 = 7 remainder 6, then 60 รท 12 = 5 exactly, so 7425 รท 12 = 618.75. If a remainder repeats, the digits will cycle forever, as with 1 รท 7 = 0.142857142857โฆ, written 0.(142857). Check any answer by multiplying: 12 ร 618 + 9 = 7425. Honest limits: the layout follows the common UK and US style; some countries arrange the same steps differently, and teachers may want working shown their way. The fraction calculator turns remainders into fractions, the maths worksheet generator makes division practice sheets and the multiplication table helps with the times tables.
Frequently asked questions
How do you do long division step by step?
Divide, multiply, subtract, bring down the next digit, and repeat until no digits are left; what remains is the remainder.
How do I turn a remainder into a decimal?
Keep dividing after adding a decimal point and zeros to the dividend, or divide the remainder by the divisor.
What does a repeating decimal mean?
The division never ends; the same remainders keep coming back, so the digits repeat in a cycle.
Is my data saved?
No. The calculation runs in your browser and nothing is stored or sent.