What is Remainder Calculator?
Computes Euclidean division determining whole integer quotient q and remainder r such that A = B * q + r with 0 <= r < B.
How to Use This Calculator
- Enter dividend A and divisor B.
- View whole quotient and remainder.
The Mathematical Formula & Variables
Quotient = floor(A / B); Remainder = A - (B * Quotient)
Step-by-Step Worked Example
Scenario: Divide 39 by 7.
- 7 goes into 39 five times (7 * 5 = 35).
- 39 - 35 = 4 remainder.
Result: Quotient 5 with Remainder 4
Frequently Asked Questions
How does modulo relate to remainders?
The modulo operation (A mod B) returns the exact remainder left after integer division.