Question: Show using the well ordering principle that for every m , n in N with m = 0 , there exists integers q , r

Show using the well ordering principle that for every m, n in N with m =0, there exists integers q, r in N such that
n = qm + r, with 0<= r < m,
then show that q and r are unique. (Hint : consider the set S ={x in N | x = n km for some k in N})

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