Q2 of 42 Page 11

Find the quotient and the remainder when each of the following numbers is divided by 304.

128, 636, 785, 1038, 2236, 8858.

We know If s (q, r) denotes the quotient q and r denotes the remainder r


Then s = ( b × q ) + r where s and b > 0 and 0 ≤ r < b


When s is divided by 304 then


(i) s = 128


here 128 = 304 × 0 + 128


quotient = 0 and r = 128


(ii) s = 636


636 = 304 × 2 + 28


Here the quotient = 2 and r = 28


(iii) s = 785


785 = 304 × 2 + 177


Here quotient = 2 and r = 177


(iv) s = 1038


1038 = 304 × 3 +126


Here quotient = 3 and r = 126


(v) s = 2236


2236 = 304 × 7 + 108


Here the quotient = 7 and r = 108


(vi) s = 8858


8858 = 304 × 29 + 42



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