Long Division Problem: Divide 9120 by 3 Step-by-Step

Long Division with Four-Digit Dividends

39120

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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 divisor
00:08 Write the result above
00:11 Now multiply the result by the divisor
00:15 Subtract the product from the digit
00:20 Now bring down the next digit below and use the same steps
00:23 Divide
00:27 Write the result without the remainder above, pay attention to the position
00:31 Multiply the result, subtract
00:40 Now bring down the next digit below and use the same steps
00:43 Divide
00:46 Write the result above
00:50 Multiply the result, subtract
00:55 Now bring down the next digit below and use the same steps
00:58 Divide
01:01 Write the result above
01:04 Multiply the result, subtract
01:11 We got a remainder of 0
01:16 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

39120

2

Step-by-step solution

To solve this problem, we'll follow the steps of long division to divide 9120 by 3:

Step 1: Divide the thousands place:
- 3 goes into 9 three times. Multiply 3 by 3 to get 9. Subtract 9 from 9 to get 0.

Step 2: Bring down the next digit (1):
- 3 goes into 1 zero times. Multiply 3 by 0 to get 0. Subtract 0 from 1 to keep 1.

Step 3: Bring down the next digit (2):
- Now divide 12 by 3, which equals 4. Multiply 3 by 4 to get 12. Subtract 12 from 12 to get 0.

Step 4: Finally, bring down the last digit (0):
- 3 goes into 0 zero times. Thus, the result of this step is 0.

Therefore, the quotient when 9120 is divided by 3 is 3040 3040 .

3

Final Answer

3040 3040

Key Points to Remember

Essential concepts to master this topic
  • Division Rule: Divide each digit from left to right systematically
  • Technique: When 3 goes into 12, write 4 above the 2
  • Check: Multiply quotient by divisor: 3040×3=9120 3040 \times 3 = 9120

Common Mistakes

Avoid these frequent errors
  • Skipping steps when dividing multi-digit numbers
    Don't jump ahead and try to divide 9120 by 3 all at once = confusion and wrong answers! This leads to calculation errors and missed steps. Always work through each digit position systematically from left to right.

Practice Quiz

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216

FAQ

Everything you need to know about this question

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

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When a single digit like 1 is smaller than the divisor 3, write 0 in the quotient and combine it with the next digit. So 1 becomes 12 when you bring down the next digit.

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

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Each digit in your quotient goes directly above the corresponding digit in the dividend. The first digit of 3040 goes above the 9 in 9120.

What if I get a remainder at the end?

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In this problem, 9120 divides evenly by 3 with no remainder. If you do get a remainder, write it as "R" followed by the number, like 1021 R 1.

Why do we bring down digits one at a time?

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Bringing down digits one at a time helps you work with smaller, manageable numbers. It's much easier to divide 12 by 3 than to tackle 9120 all at once!

How can I check if my long division is correct?

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Multiply your answer by the original divisor: 3040×3 3040 \times 3 . If you get back to 9120, your division is correct!

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