Long Division Problem: Divide 640 by 8 Using Standard Method

Long Division with Two-Digit Results

8640

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's solve this problem step by step.
00:07 First, divide the leftmost digit by the divisor.
00:11 The number eight is greater than six, so we add the next digit and then divide.
00:16 Write the result above, making sure it's in the correct place.
00:20 Now, let's multiply the result by the divisor.
00:24 Subtract this product from the number.
00:28 Bring down the next digit, and repeat these steps.
00:32 Again, divide it.
00:34 Write your answer above.
00:37 Then, multiply the result and subtract.
00:41 We have a remainder of zero.
00:43 And that's how we solve this problem! Nice work!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

8640

2

Step-by-step solution

To solve this problem, we'll divide 640 by 8 using long division.

  • Step 1: Set up the long division, where 640 is the dividend inside the division bracket, and 8 is the divisor outside.

  • Step 2: Determine how many times 8 goes into the first digit, 6. It does not go into 6 since 6 is less than 8. Move to the next digit.

  • Step 3: Consider the first two digits, 64. 8 goes into 64 a total of 8 times since 8×8=64 8 \times 8 = 64 . Write 8 above the division line.

  • Step 4: Subtract 64 from 64, which results in 0. Bring down the next digit, 0, from the dividend, making it 00.

  • Step 5: Determine how many times 8 goes into 0. It goes 0 times, so write 0 as the next digit of the quotient.

  • Step 6: The final required division is complete. The quotient is 80 80 .

The result of dividing 640 by 8 is 80 80 . Therefore, the correct answer is choice 3: 80 80 .

3

Final Answer

80 80

Key Points to Remember

Essential concepts to master this topic
  • Setup: Place dividend inside bracket, divisor outside on left
  • Technique: 8 goes into 64 exactly 8 times, then into 0 zero times
  • Check: Multiply quotient by divisor: 80×8=640 80 \times 8 = 640

Common Mistakes

Avoid these frequent errors
  • Starting division with individual digits incorrectly
    Don't try to divide 8 into 6 and get frustrated when it doesn't work = skipping steps and wrong answers! Since 6 < 8, you must look at the first two digits (64) together. Always check if the first digit is smaller than the divisor before starting.

Practice Quiz

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216

FAQ

Everything you need to know about this question

What do I do when the first digit is smaller than the divisor?

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When 6 < 8, you can't divide yet! Move to the next digit and work with 64 instead. This is completely normal in long division.

Why do I write 0 in the quotient?

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When you bring down the final 0 and ask "how many times does 8 go into 0?", the answer is 0 times. You must write this 0 in your quotient to show the correct place value.

How do I know when I'm done with the division?

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You're done when you've brought down all digits from the dividend and have no remainder. In this case, after dividing 64 and bringing down the final 0, we're complete!

What if I get a different answer like 8?

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If you only get 8, you forgot to bring down the final 0! The quotient must have the same number of digits as your work. 640 ÷ 8 = 80, not 8.

Can I check my answer without doing the division again?

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Yes! Multiply your quotient by the divisor: 80×8 80 \times 8 . If you get back to 640, your division is correct!

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