Question

find the values of q and r for the following a=62 b=7 by division algorithm​

Answer 1

$\underline{ \pink{ Euclid's \: Divison \:Lemma :}}$

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

$\blue{ a = bq+r }$

0 ≤ r < b .

$Here , a = 62 , b = 7$

$62 = 7 \times 8 + 6$

$Compare \:this \: with \: a = bq + r , we \: get$

$\green {q = 8 \: and \: r = 6 }$

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