What do you mean by euclid division lemma?
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it is a proven statement used for proving another statement
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Euclid's Division Lemma (lemma is like a theorem) says that given two positive integers a and b, there exist unique integers q and r such that a = bq + r, 0≤ r <b. The integer q is the quotient and the integer r is the remainder. The quotient and the remainder are unique.