The Grothendieck-Lefschetz theorem for normal projective varieties

We prove that for a normal projective variety $X$ in characteristic 0, and a base-point free ample line bundle $L$ on it, the restriction map of divisor class groups $\text{Cl}(X)\to \text{Cl}(Y)$ is an isomorphism for a general member $Y\in |L|$providedthat$\dim{X}\geq 4$. This is a generalization of the Grothendieck-Lefschetz Theorem, for divisor class groups of singular varieties.