Solve Long Division: 252 ÷ 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 7 is greater than 2, so we'll bring down the next digit and then divide

00:12 Write the result without remainder above, pay attention to the position

00:16 Now multiply the result by the divisor

00:20 Subtract the product from the number

00:26 Now bring down the next digit below and use the same steps

00:32 Divide

00:37 Write the result above

00:40 Multiply the result, subtract

00:48 We got a remainder of 0

00:52 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll utilize the long division method to divide 252 by 7:

Start by dividing the first digit (2) of 252 by 7. Since 2 is less than 7, consider the first two digits (25).
Divide 25 by 7. The largest integer quotient is 3 because $3 \times 7 = 21$ . Write 3 above the division bar.
Subtract 21 from 25 to get a remainder of 4.
Bring down the next digit (2) to make the new number 42.
Divide 42 by 7. The quotient is 6 because $6 \times 7 = 42$ .
Subtract 42 from 42, resulting in a remainder of 0.

Since there are no more digits to bring down and the remainder is 0, the division is complete.

The quotient of 252 divided by 7 is $36$ .

Comparing this result with the given choices, we see that choice 3 is correct.