Quick guide
How to use this calculator
- Enter a non-negative integer dividend.
- Enter a positive integer divisor.
- Read the remainder and verify that it is smaller than the divisor.
Calculation method
The remainder is the part left after complete groups
The calculator first finds the integer quotient q, then computes r = dividend − divisor×q.
Under this Euclidean convention, the remainder is unique and always satisfies 0 ≤ r < divisor.
Worked example
Find the remainder when 125 is divided by 8
Fifteen complete groups of eight use 120, so five remains.
125 − (8 × 15) = 5
Supported inputs
Precision and limits
Integers only
The dividend must be non-negative and the divisor must be positive.
Exact values
Each accepted integer may contain up to 2,000 digits.
Bounded remainder
Every valid remainder is at least zero and smaller than the divisor.
Automatic check
The full division identity is displayed with the result.