To divide 262 by 9 using the rules for long division, follow these steps:
1. Set up the problem: Write 262 divided by 9.
2. Divide the first digit (2) by 9:
- 9 does not go into 2 (since 2 is less than 9), so write 0 above the 2.
- Move to the next digit to form 26 (bring down the 6).
3. Divide 26 by 9:
- 9 goes into 26 two times (since 9 2 = 18).
- Write 2 above the 6 in the quotient area.
- Multiply 2 by 9 to get 18 and subtract it from 26 to get the remainder: 26 - 18 = 8.
- Write 8 as the remainder and bring down the next digit (2) to form 82.
4. Divide 82 by 9:
- 9 goes into 82 nine times (since 9 9 = 81).
- Write 9 in the quotient.
- Multiply 9 by 9 to get 81 and subtract it from 82 to get the remainder: 82 - 81 = 1.
- Write 1 as the remainder.
At this point, we have completed the division, and the quotient is 29 with a remainder of 1.
Thus, the answer to the division of 262 by 9 is:
D. [tex]$29 r 1$[/tex]