Solve Long Division: 252 ÷ 7 Step by Step

7252

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

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1

Understand the problem

7252

2

Step-by-step solution

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

  1. Start by dividing the first digit (2) of 252 by 7. Since 2 is less than 7, consider the first two digits (25).
  2. Divide 25 by 7. The largest integer quotient is 3 because 3×7=21 3 \times 7 = 21 . Write 3 above the division bar.
  3. Subtract 21 from 25 to get a remainder of 4.
  4. Bring down the next digit (2) to make the new number 42.
  5. Divide 42 by 7. The quotient is 6 because 6×7=42 6 \times 7 = 42 .
  6. 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 36 .

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

3

Final Answer

36 36

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