Long Division Calculator
Enter a dividend and divisor to see the quotient, remainder, and the full step-by-step long division work.
Last updated: September 5, 2026
Frequently asked questions
How do I do long division step by step?
Bring down one digit of the dividend at a time, divide the running value by the divisor to get a quotient digit, multiply that digit by the divisor and subtract it from the running value, then bring down the next digit and repeat - this calculator shows every one of those steps in the table.
What does the remainder mean?
The remainder is what's left over after dividing as many whole times as possible - for 23 ÷ 5, the quotient is 4 (5×4=20) with a remainder of 3 (23−20), since 5 doesn't divide evenly into 23.
Does this work with negative numbers?
This calculator works with the absolute (positive) value of whatever you enter, since long division as a step-by-step method is defined for positive whole numbers - apply the sign rules separately (a negative dividend or divisor, but not both, gives a negative result) after getting the positive quotient and remainder here.
What happens if the divisor is 0?
Division by zero is undefined, so entering 0 as the divisor won't produce a valid quotient - always use a nonzero divisor.
How do I do long division for 987 ÷ 7?
9÷7 = 1 remainder 2; bring down the 8 to make 28, 28÷7 = 4 remainder 0; bring down the 7 to make 7, 7÷7 = 1 remainder 0. The quotient is 141 with no remainder.
Is 'long division' the same as 'synthetic division'?
No - long division (shown here) works with plain numbers digit by digit. Synthetic division is a shortcut method specifically for dividing polynomials by a linear factor, using only coefficients.