Remainder Calculator

Find the remainder when one number is divided by another.

Remainder 2

Whole quotient 14

Formula: remainder = dividend − divisor × ⌊dividend ÷ divisor⌋

Step-by-step with your numbers:

1. Values used:

2. Dividend = 100

3. Divisor = 7

5. Remainder = 2

6. Whole quotient = 14

Did we solve your problem today?

The remainder is what's left after dividing as many whole times as possible.

The math behind it

Divide and keep only the leftover: remainder = dividend − divisor × quotient.

100 ÷ 7 = 14 remainder 2.

Is remainder the same as modulo?

For positive numbers, yes. They can differ in sign convention for negatives.