what is Euclid division
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In arithmetic, Euclidean division — or division with remainder — is the process of dividing one integer by another, in such a way that produces a quotient and a remainder smaller than the divisor. Its main property is that the quotient and the remainder exist and are unique, under some conditions.
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Given positive integers a and b,there exist unique integers q and r satisfying a = bq + r, 0 ≤ r < b.
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