\begin{definition}[Definition:Division/Real Numbers]
Let $\struct {\R, +, \times}$ be the field of real numbers.
The operation of '''division''' is defined on $\R$ as:
:$\forall a, b \in \R \setminus \set 0: a / b := a \times b^{-1}$
where $b^{-1}$ is the multiplicative inverse of $b$ in $\R$.
\end{definition}