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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