Arithmetic & Number Theory
Modulo (Remainder)
Remainder after dividing a by b.
Formula
Formula
r = a − b·⌊a ÷ b⌋
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| a | dividend | real number (ℝ) | — | input |
| b | divisor | real number (ℝ) | — | input |
| r | remainder | computed result | — | result |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givena = 17, b = 5
Result2
Example 2
Givena = 100, b = 7
Result2