Consider a divisorial contraction $f:X\rightarrow Y$, between projective varieties, contracting an irreducible divisor $D\subset X$ to a subvariety $Z\subset Y$ of codimension at least two, and which an isomorphism from $X\setminus D$ to $Y\setminus Z$. Assume that $X$ is normal.

What is an explicit example of such a divisorial contraction such that $Y$ is not normal?