Solve an Equation with Ceiling Function

Question

Given the following Term

$$n=\left\lceil{\frac{a}{b}}\right\rceil \quad \text{with} \quad a,b\in \mathbb{R}_{>0}$$

Is there a way to get $b$ if $a$ and $n$ are given? I. e. what is the solution for: $$b=?$$

Answer 1

$b=a/n$ is clearly a solution. Is it the only one? study what happens if $b<a/n$ and $b>a/n$.