Definition:Integer Division/Exact

Definition

Let $a, b \in \Z$ be integers such that $b \ne 0$.

Let:

$a \div b = q \rem 0$

where $\div$ denotes integer division.

This is an instance of exact division.

Also see

• Division Theorem

• Results about exact division can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): exact division
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): exact division