Easily determine the remainder when one number (the dividend) is divided by another (the divisor) using our efficient online tool. Understand the concept of modulo arithmetic and get precise results instantly. This calculator is perfect for students, developers, and anyone needing to quickly find division remainders without manual calculations.
Formula:
The remainder (r) is the amount 'left over' after performing division. When a dividend (a) is divided by a divisor (n), it produces a quotient and a remainder. The mathematical relationship is:
a = n × Quotient + r
Where:
- a is the Dividend (the number being divided)
- n is the Divisor (the number that divides)
- Quotient is the whole number part of the division result
- r is the Remainder (the amount left over)