Long Division Problem: Divide 974 by 8

To solve this problem, we'll perform long division of 974 by 8. Here are the detailed steps:

• Step 1: Set up the division
  Write 974 under the division bar and 8 outside.
• Step 2: Divide
  Start with the leftmost digit, which is 9.
  8 goes into 9 one time ($8 \times 1 = 8$).
  Subtract 8 from 9 to get a remainder of 1.
• Step 3: Bring down the next digit
  Bring down 7, the next digit of 974, to make it 17.
  8 goes into 17 two times ($8 \times 2 = 16$).
  Subtract 16 from 17 to get a remainder of 1.
• Step 4: Bring down the last digit
  Bring down the last digit, which is 4, making it 14.
  8 goes into 14 one time ($8 \times 1 = 8$).
  Subtract 8 from 14 to get a remainder of 6.

Putting it all together, the quotient is 121, and the final remainder is 6.

Therefore, the solution to the problem is $121$ with a remainder of 6.

Among the choices given, the correct one is choice 4: $121$ with a remainder of 6.