$-38$ is divided by 7 to give a quotient $q$ and a remainder $r$ with $0 \le r < 7$. What are $q$ and $r$?

Explanation

1. 01

   Take the multiple of 7 just below $-38$: $7 \times (-6) = -42$.

2. 02

   $-38 = 7 \times (-6) + 4$, so $q = -6$ and $r = 4$.