Integer division

Integer division is division between integers that outputs integers. The result of integer division is always two integers: a quotient and a remainder.

For example, \(26\) divided by \(11\) under integer division is the quotient \(2\) with a remainder of \(4.\)

In the following equations, \(n\) and \(d\) represent the numerator (dividend) and denominator (divisor) of the division \(\frac{n}{d}.\)

To obtain the quotient, use the \(\text{div}\) operation:

$$q = n \text{ div } d$$

If it's easier for you, feel free to use the symbol \(//\) as an alternative.

To obtain the remainder, use the \(\bmod\) operation:

$$r = n \bmod d$$
⚠ In the order of operations, \(\bmod\) has the same precedence as multiplication and division. However, you can always use parentheses to indicate exactly which order you want.
Logic & Proofs
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Number Theory
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