elementary set theory - construct a bijection between $(0,1)$ to $R/N$

Suppose $A = (0, 1)$ and $B = R/N$. Then how to construct a bijection from $A$ to $B$? i am aware of bijections from $(0,1)$ to $R$. a hint would be helpful here. where $R$ are real numbers and $N$ are natural numbers and $R/N$ is the set of reals without natural numbers