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

Video Solution

Solution Steps

00:00 Solve

00:03 Let's start by dividing the leftmost digit in the dividend

00:07 2 is less than 7, so we'll include the next digit and then divide

00:12 Write the result without remainder above, paying attention to placement

00:17 Now multiply the result by the divisor

00:22 Subtract the product from the number

00:27 Now bring down the next digit below and use the same steps

00:31 Divide

00:36 Write the result above, paying attention to placement

00:42 Multiply the result and subtract

00:50 We got a remainder of 3

00:56 And this is the solution to the question

Step-by-Step Solution

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.