evaluate the problem in standard algorithem - 2142 divided by 9

To divide 2142 by 9 using the standard long division algorithm, follow these steps:

1. Set up the division: Write 2142 under the long division bar and 9 outside of it.

       __________
9 | 2142

2. Divide the first part: Look at how many times 9 goes into the first digit, which is 2. Since 9 is greater than 2, we can’t use it to divide this digit, so we look at the first two digits (21).

3. Divide 21 by 9: 9 goes into 21 a total of 2 times (since \(9 \times 2 = 18\)).

   • Write 2 above the division bar.
   • Subtract 18 from 21, leaving a remainder of 3.

       2
      _________
9 | 2142
    - 18
    ------
       3

4. Bring down the next digit: Bring down the next digit (which is 4) to make it 34.

       2
      _________
9 | 2142
    - 18
    ------
       34

5. Divide 34 by 9: 9 goes into 34 a total of 3 times (since \(9 \times 3 = 27\)).
   • Write 3 above the division bar next to the 2.
   • Subtract 27 from 34, leaving a remainder of 7.

       23
      _________
9 | 2142
    - 18
    ------
       34
    - 27
    ------
       7

6. Bring down the next digit: Bring down the last digit (which is 2) to make it 72.

       23
      _________
9 | 2142
    - 18
    ------
       34
    - 27
    ------
       72

7. Divide 72 by 9: 9 goes into 72 exactly 8 times (since \(9 \times 8 = 72\)).
   • Write 8 above the division bar.
   • Subtract 72 from 72, leaving a remainder of 0.

       238
      _________
9 | 2142
    - 18
    ------
       34
    - 27
    ------
       72
    - 72
    ------
        0

8. Final Result: The result is 238 with a remainder of 0.

Thus, 2142 divided by 9 equals 238.