Quotient Ring of Integers and Principal Ideal from Unity

Theorem
Let $$\left({\Z, +, \times}\right)$$ be the integral domain of integers.

Let $$\left({1}\right)$$ be the principal ideal of $\left({\Z, +, \times}\right)$ generated by $1$.

The quotient ring $$\left({\Z, +, \times}\right) / \left({1}\right)$$ is isomorphic to the null ring.