Floor of x+m over n

Theorem
Let $m, n \in \Z$ such that $n > 0$.

Let $x \in \R$.

Then:
 * $\left\lfloor{\dfrac {x + m} n}\right\rfloor = \left\lfloor{\dfrac {\left\lfloor{x}\right\rfloor + m} n}\right\rfloor$

where $\left\lfloor{x}\right\rfloor$ denotes the floor of $x$.