Solve Division Problem: 8160 ÷ 8 Using Long Division Method

Q: How do I know where to place each digit in my answer?

Each digit in the quotient goes directly above the last digit you're working with. If you're dividing 16, the answer digit goes above the 6.

Q: What if I get a remainder at the end?

In this problem, 8160 divides evenly by 8 with no remainder. If you get a remainder, double-check your work - you might have made an error in subtraction or bringing down digits.

Q: Why do I need to bring down one digit at a time?

This keeps the division manageable! Working with smaller numbers (like 16 instead of 160) makes it easier to see how many times 8 goes in without mistakes.

Q: How can I check if my long division is correct?

Multiply your quotient by the divisor: $ 1020 \times 8 $. If you get the original number (8160), your answer is correct!

Long Division with Four-Digit Numbers

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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 Write the result above

00:10 Now multiply the result by the divisor

00:13 Subtract the product from the digit

00:17 Now bring down the next digit below and use the same steps

00:21 Divide

00:24 Write the result without remainder above, pay attention to the position

00:27 Multiply the result, subtract

00:33 Now bring down the next digit below and use the same steps

00:36 Divide

00:39 Write the result above

00:43 Multiply the result, subtract

00:48 Now bring down the next digit below and use the same steps

00:53 Divide

00:56 Write the result above

01:00 Multiply the result, subtract

01:03 We got a remainder of 0

01:07 And this is the solution to the problem

Step-by-step written solution

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Understand the problem

Step-by-step solution

To solve this problem, we'll perform long division of 8160 by 8:

Step 1: Begin with the first digit. Divide 8 (the divisor) into 8 (the first digit of 8160), which goes 1 time. Thus, the first digit of the quotient is 1.
Step 2: Multiply 8 (divisor) by 1 (quotient part) to get 8. Subtract 8 from 8 to get 0. Bring down the next digit, which is 1.
Step 3: Divide 8 into 1. Since it doesn't go fully, note 0 in the quotient and bring down the next digit, 6, making it 16.
Step 4: Now divide 8 into 16, which goes 2 times. So, write 2 in the quotient.
Step 5: Multiply 8 by 2 to get 16, subtract to get 0, and bring down the final digit, 0.
Step 6: Divide 8 into 0, which is 0, and that's the final digit of the quotient.

Therefore, the quotient of dividing 8160 by 8 is $\mathbf{1020}$ .

Final Answer

$1020$

Key Points to Remember

Essential concepts to master this topic

Setup: Write divisor outside, dividend inside the division bracket
Technique: Bring down digits one at a time: 8÷8=1, then 01÷8=0, then 16÷8=2
Check: Multiply quotient by divisor: 1020 × 8 = 8160 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to write zero placeholders in quotient
Don't skip writing 0 when a digit doesn't divide evenly = wrong quotient! When 1÷8 doesn't go, you must write 0 in the quotient before bringing down the next digit. Always place a zero for each position where division doesn't work completely.

Practice Quiz

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FAQ

Everything you need to know about this question

What do I do when the divisor is bigger than the dividend digit?

Write 0 in the quotient and bring down the next digit! For example, when dividing 1 by 8, write 0 above the 1, then bring down the 6 to make 16.

How do I know where to place each digit in my answer?

Each digit in the quotient goes directly above the last digit you're working with. If you're dividing 16, the answer digit goes above the 6.

What if I get a remainder at the end?

In this problem, 8160 divides evenly by 8 with no remainder. If you get a remainder, double-check your work - you might have made an error in subtraction or bringing down digits.

Why do I need to bring down one digit at a time?

This keeps the division manageable! Working with smaller numbers (like 16 instead of 160) makes it easier to see how many times 8 goes in without mistakes.

How can I check if my long division is correct?

Multiply your quotient by the divisor: $1020 \times 8$ . If you get the original number (8160), your answer is correct!

What's the fastest way to do this division?

Long division is actually the most reliable method for large numbers! While you could use mental math tricks, the step-by-step process prevents errors and works for any division problem.

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