Long Division
Perform long division with step-by-step solution
How to use Long Division
- 1Enter the dividend (the number being divided) and the divisor (the number you divide by).
- 2Run the calculator to see the quotient and the remainder step by step.
- 3Read the full decimal result and, if it does not divide evenly, the remainder.
How long division works
dividend = divisor × quotient + remainder; 0 ≤ remainder < divisorLong division repeatedly subtracts the largest multiple of the divisor that fits, bringing down digits until no remainder or a repeating decimal appears.
The remainder is what is left after the whole-number part of the quotient; it is always smaller than the divisor.
Frequently asked questions
What is the remainder?
The leftover amount when the dividend is not a whole multiple of the divisor.
Why does division sometimes repeat?
Some fractions have denominators with prime factors other than 2 and 5, forcing a repeating decimal.
Can the divisor be zero?
No, division by zero is undefined and the calculator will reject it.