How to define division operator in Agda?

Question

I want to divide two natural number. I have made function like this

_/_ : N -> N -> frac
m / one = m / one
(suc m) / n = ??        I dont know what to          


        

Answer 1

Division is usually defined as iterated substraction which requires a slightly unusual induction principle. See e.g. the definition in the standard library.