Long Division Calculator
Divide two numbers and get the quotient, remainder, and decimal result.
Try an example
24 remainder 1
About this calculator
What Is Long Division?
Long division is the step-by-step written method for dividing one number by another, especially when the numbers are too large to do in your head. It breaks a big division into a series of small ones, one digit at a time, and keeps track of what is left over. This long division calculator gives you the quotient and the remainder — and, if you prefer, the decimal answer — for any dividend and divisor.
The Parts of a Division Problem
- Dividend: the number being divided (the total).
- Divisor: the number you divide by (how many groups, or the size of each group).
- Quotient: the result of the division.
- Remainder: what is left when the division does not come out even.
Dividing 8 objects into 4 groups gives a quotient of 2 and no remainder. Dividing 100 by 7 gives a quotient of 14 with a remainder of 2, because 7 × 14 = 98.
Worked Example
97 ÷ 4 = 24 remainder 1 — or 24.25 as a decimal.
How to Do Long Division Step by Step
- Set up the problem with the dividend under the division bar and the divisor on the left.
- Take the first digit (or the first few digits) of the dividend that form a number at least as big as the divisor.
- Work out how many times the divisor fits into that number and write it above the bar.
- Multiply that quotient digit by the divisor, and subtract the product from the number you used.
- Bring down the next digit of the dividend and repeat until all digits are used.
The number left after the last subtraction is the remainder. To keep going as a decimal, add a decimal point and bring down zeros.
Checking Your Answer
Divisor × Quotient + Remainder = Dividend. If the left side does not match, one of the subtractions went wrong. You can also use the Fraction Calculator to write a remainder as a fraction of the divisor (the remainder 2 over the divisor 7 gives 14 2/7).
Worked example
97 ÷ 4 = 24 remainder 1 — the same value written as a decimal is 24.25.
Frequently asked questions
How does long division work?
Find how many times the divisor fits into the dividend without going over (the quotient); whatever's left over is the remainder.
How do I check my answer?
Multiply the quotient by the divisor and add the remainder — it should equal the original dividend: 24 × 4 + 1 = 97.
What if the divisor is bigger than the dividend?
The quotient is 0 and the remainder is the whole dividend, e.g. 3 ÷ 7 = 0 remainder 3.
Can I divide negative numbers?
Yes — enter a negative dividend or divisor and the calculator returns the signed result.
