Qed.
Hint Resolve Zero_le_oZ: arith.
(* It has the required property *)

Theorem ZquotientProp :
forall m n : Z,
n <> 0%Z ->
ex
(fun r : Z =>
m = (Zquotient m n * n + r)%Z /\
(Zabs (Zquotient m n * n) <= Zabs m)%Z /\ (Zabs r < Zabs n)%Z).