Explanation: On dividing 3008 by 29, the remainder is 21, which is more than half of 29. So,
We have to add (29-21)= 8 to the number.
Required number = (3008 + 8) = 3016

Explanation: Let q the quotient.
Number = (779 x q) + 47,
Let us now express the divisor (779) and the remainder (47) in terms of the new divisor 19.
I.e 779 = 19 x41 and 47 = (19 x 2) + 9
Number = (19 x 41 x q) + (19 x 2) + 9
= 19 x (41q + 2) + 9
= 19 x (new quotient) +9
Where (41q + 2) is the new quotient.
Required remainder = 9