Long Division Problem: Dividing 234 by 7 Step-by-Step

To solve this problem, we'll use long division to divide 234 by 7 and find both the quotient and remainder:

• Step 1: Set up the long division by writing 234 inside the division bracket and 7 outside.
• Step 2: Divide the first digit, 2, by 7. Since 2 is smaller than 7, consider the first two digits, 23.
• Step 3: Determine how many times 7 fits into 23. It fits 3 times (since $7 \times 3 = 21$).
• Step 4: Subtract 21 from 23, leaving a remainder of 2.
• Step 5: Bring down the next digit of the dividend, 4, making the new number 24.
• Step 6: Determine how many times 7 fits into 24. It fits 3 times (since $7 \times 3 = 21$).
• Step 7: Subtract 21 from 24, leaving a remainder of 3.
• Step 8: No more digits left to bring down. Therefore, the division completes here.

The quotient of dividing 234 by 7 is 33, with a remainder of 3.
Thus, the solution to the problem is $33$ with a remainder of 3.

Based on the choices provided, this corresponds to choice 2, which states:
$33$ with a remainder of 3.