Z-module isomorphism

Question

Let n,d be positive integer numbers such that d|n. Show that $<\frac{n}{d}>$/$<n>$ Is isomorphic as a module to $\mathbb{Z}_{d}$

Answer 1

$\Bbb Z$-modules are just abelian groups.

You can try to find a homomorphism $<n/d> \to \mathbb Z_d$ with kernel $<n>$ and apply the First Isomorphism Theorem.