Long Division Problem: Divide 208 by 4

Video Solution

Solution Steps

00:00 Solve

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

00:06 4 is greater than 2, so we'll include the next digit and then divide

00:12 Write the result above, paying attention to the position

00:17 Now multiply the result by the divisor

00:20 Subtract the product from the number

00:24 Now bring down the next digit and repeat the same steps

00:27 Divide

00:30 Write the result above

00:33 Multiply the result and subtract

00:39 We got a remainder of 0

00:44 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll perform long division of 208 by 4:

Step 1: Begin by setting up the division. Write 208 (dividend) under the division bar and 4 (divisor) on the outside.
Step 2: Determine how many times 4 can fit into the first digit of 208, which is 2. Since 4 does not go into 2, we consider the first two digits, 20.
Step 3: 4 fits into 20 exactly 5 times (since 4 × 5 = 20). Write 5 above the division bar above the zero in 20.
Step 4: Multiply 5 by 4 to get 20, and subtract 20 from 20, leaving a remainder of 0. Bring down the next digit, which is 8.
Step 5: Now, determine how many times 4 goes into 8. It goes exactly 2 times (since 4 × 2 = 8). Write 2 above the division bar, next to 5.
Step 6: Multiply 2 by 4 to get 8, subtract from 8 to leave a remainder of 0.

The division is complete, and we find that 208 divided by 4 equals $52$ .

Therefore, the correct answer is $52$ .