Find $q$ and $r$ for the following pairs of positive integers $a$ and $b$ satisfying $a=bq+r$.

(1) $a=13,b=3$

(2) $a=8,b=80$

(3) $a=125,b=5$

(4) $a=132,b=11$.

Q.

Find q and r for the following pairs of positive integers a and b ,satisfying a= bq+ r. (1) a=13,b=3 (2) a=80,b=8 . From the above questions , what is the nature of q and r.?

Q. For positive integers a and b, there exist unique integers q and r satisfying a = bq + r, where
$0\le r$ $b$.

Q. Given positive integers a and b. there exist inique integers q and r satisfying a=bq+r, $0\le r<b$.

Q. For positive integers a and b, there exist unique integers q and r satisfying a = bq + r, where
$0\le r$ $b$.

Q. Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r $0\le r<b$