C integer division ($a=bq+r,q=\mathrm{trunc}(a/b)$)

For representable integer quotients with nonzero divisor, C integer division discards the fractional part towards zero and defines the remainder by $a=bq+r$. Thus a nonzero remainder has the dividend's sign. For example, $-13=5(-2)+(-3)$, so division by five returns quotient $-2$ and remainder $-3$. This convention differs from division rounded down, which would return quotient $-3$ and nonnegative remainder $2$. Division by zero and an unrepresentable quotient are excluded.^[ref]