Long Division: Solve 1250 ÷ 5

51250

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Step-by-step video solution

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00:00 Solve
00:03 Let's start by dividing the leftmost digit by the divisor
00:09 5 is greater than 1, so we'll add the next digit and then divide
00:20 Write the result without remainder above, pay attention to the position
00:24 Now multiply the result by the divisor
00:28 Subtract the product from the number
00:36 Now bring down the next digit below and use the same steps
00:41 Divide
00:46 Write the result above
00:50 Multiply the result, subtract
01:00 Now bring down the next digit below and use the same steps
01:04 Divide
01:08 Write the result above
01:11 Multiply the result, subtract
01:18 We got a remainder of 0
01:21 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

51250

2

Step-by-step solution

To solve the division problem 1250÷51250 \div 5, we will use long division.

  • Step 1: Identify the first part of the dividend (1250) that is divisible by 5. We start with the first digit, which is 1. Since 1 is less than 5, we consider the first two digits, 12.
  • Step 2: Determine how many times 5 fits into 12. It fits 2 times since 5×2=105 \times 2 = 10. Write 2 above the long division bar.
  • Step 3: Subtract 10 from 12, leaving a remainder of 2. Bring down the next digit, 5, making it 25.
  • Step 4: Determine how many times 5 goes into 25. It fits exactly 5 times since 5×5=255 \times 5 = 25. Write 5 above the bar, next to 2.
  • Step 5: Subtract 25 from 25, leaving a remainder of 0. Bring down the last digit, 0, making it 00.
  • Step 6: Since 5 goes into 0 exactly 0 times, write 0 above the division bar as the last digit of the quotient.

After completing the division, the result above the division bar shows the quotient: 250 250 .

Therefore, the solution to the problem is 250 250 .

3

Final Answer

250 250

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