Long Division Problem: Divide 974 by 8

Video Solution

Solution Steps

00:00 Solve

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

00:08 Write the result without the remainder above

00:12 Now multiply the result by the divisor

00:15 Subtract the product from the number

00:18 Now bring down the next digit and repeat the same steps

00:22 Divide

00:26 Write the result without the remainder above

00:29 Multiply the result and subtract

00:37 Now bring down the next digit and repeat the same steps

00:44 Divide

00:47 Write the result without the remainder above

00:51 Multiply the result and subtract

00:54 We got a remainder of 6

00:59 And this is the solution to the problem

Step-by-Step Solution

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.