Quick guide
How to use this calculator
- Enter a non-negative integer dividend.
- Enter a positive integer divisor.
- Read the quotient and use the remainder to verify it.
Calculation method
The quotient counts complete groups
For dividend a and positive divisor b, the integer quotient q and remainder r satisfy a = bq + r, with 0 ≤ r < b.
This focused page emphasizes q while retaining r so the result can always be checked exactly.
Worked example
Find the quotient of 125 and 8
Eight fits completely into 125 fifteen times, with five left over.
125 = 8 × 15 + 5; quotient = 15
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.
Euclidean convention
The remainder is always at least zero and smaller than the divisor.
Automatic check
The reconstruction identity is shown beside the result.