euclid division lemma
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In arithmetic, Euclidean division or division with remainder is the process of division of two integers, which produces a quotient and a remainder smaller than the divisor. Its main property is that the quotient and remainder exist and are unique, under some conditions.
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It states that, for any two positive integer a and b there exists a unique whole number q and r such that
a = bq + r, Range of r is less than b or 0
a = dividend
b = divisor
q = quotient
r= remainder
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