Answer :
Final answer:
To divide 913 by 29 and get the answer 31 r14, long division is used. After dividing and subtracting sequentially, we find that the quotient is 31 with a remainder of 14.
Explanation:
To get the answer 31 r14 when you divide 913 by 29, you perform long division. Here are the steps:
- Divide the first digit of 913 by 29. 9 divided by 29 is 0 since 29 does not fit into 9. Therefore, we consider the first two digits '91'.
- Divide 91 by 29. This fits 3 times (because 29 x 3 = 87), so we place 3 above the line in the quotient position.
- Subtract 87 from 91, giving us a remainder of 4. Then bring down the next digit of the dividend, which is 3, to make 43.
- Divide 43 by 29. It fits once (because 29 x 1 = 29), place 1 in the quotient position.
- Subtract 29 from 43 to get a remainder of 14.
- Since there are no more digits in the dividend to bring down, 14 is the final remainder.
As a result, when performing long division of 913 by 29, the quotient is 31 with a remainder of 14, which can be represented as 31 r14.
