Question

Let ‘a’ be the dividend , 5 the divisor, q the quotient and r the remainder

such that a = 5q + r, then r must satisfy:​

Answer 1

Let ‘a’ be the dividend , 5 the divisor, q the quotient and r the remainder

Let ‘a’ be the dividend , 5 the divisor, q the quotient and r the remainder such that a = 5q + r, then r must satisfy:

$\underline{\pink{ 0 \leq r \lt 5 }}$

By Euclid's Division Lemma :

Given positive integers 'a' and 'b' , there exist unique pair of integers 'q' and 'r' satisfying

a = bq + r , $\underline{\pink{ 0 \leq r \lt b }}$

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