The Division Algorithm.
Given any two integers \(a\) and \(b\text{,}\) we can always find an integer \(q\) such that
\begin{equation*}
a = qb + r
\end{equation*}
where \(r\) is an integer satisfying \(0 \le r \lt |b|\)
Given any two integers \(a\) and \(b\text{,}\) we can always find an integer \(q\) such that
where \(r\) is an integer satisfying \(0 \le r \lt |b|\)