Long Division Problem: Dividing 648 by 12 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 6 is less than 12, so we'll bring down the next digit and then divide

00:16 Write the result without the remainder above, paying attention to position

00:21 Now multiply the result by the divisor

00:25 Subtract the product from the number

00:29 Now bring down the next digit below and use the same steps

00:34 Divide

00:38 Write the result without the remainder above, paying attention to position

00:41 Multiply the result and subtract

00:48 We got a remainder of 0

00:51 And this is the solution to the problem

Step-by-Step Solution

To solve the division problem $\frac{648}{12}$ , we'll use the long division method. Here's each step broken down:

Step 1: Begin by writing 648 under the division bar and 12 outside the bar.
Step 2: Determine how many times 12 fits into the first digit, 6. Since 12 is greater than 6, check the first two digits together, 64.
Step 3: Determine how many times 12 goes into 64. The answer is 5, because $12 \times 5 = 60$ , which is less than 64. Write 5 above the division bar.
Step 4: Subtract 60 from 64, leaving a remainder of 4. Carry down the next digit, 8, to get 48.
Step 5: Determine how many times 12 goes into 48. The answer is 4, since $12 \times 4 = 48$ .
Step 6: Subtract 48 from 48, leaving a remainder of 0.

The quotient of $\frac{648}{12}$ is, therefore, 54.

Thus, the solution to the problem is $54$ .