Long Division Problem: Divide 3412 by 2 Step-by-Step

Q: Why do I write 0 when 1 divided by 2 doesn't go?

The 0 is a placeholder that keeps all digits in their correct positions! Without it, your answer would be 176 instead of 1706 - completely wrong because each digit shifted left.

Q: What if I get confused about which digit to bring down next?

Always work left to right through the dividend (3412). After dividing 3, bring down 4. After dividing 14, bring down 1. After dividing 1, bring down 2. One digit at a time!

Q: How do I know when I'm completely done?

You're done when you've brought down all digits from the dividend and have no remainder left. In this case, after dividing 12 by 2, we get 0 remainder - finished!

Q: What does it mean to 'multiply and subtract' in each step?

After dividing, you multiply your quotient digit by the divisor, then subtract that from your current working number. Like: 14 ÷ 2 = 7, then 7 × 2 = 14, finally 14 - 14 = 0.

Q: Can I check my answer a different way?

Yes! Multiplication is the opposite of division. Multiply your answer (1706) by the divisor (2). If you get the original number (3412), you're 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

00:04 Let's start by dividing the leftmost digit in the dividend

00:07 Write the result without remainder above

00:10 Now multiply the result by the divisor

00:14 Subtract the product from the digit

00:20 Now bring down the next digit and use the same steps

00:24 Divide

00:29 Write the result above, pay attention to the position

00:34 Multiply the result, subtract

00:42 Now bring down the next digit and use the same steps

00:46 Divide

00:49 Write the result without remainder above, pay attention to the position

00:54 Multiply the result, subtract

01:02 Now bring down the next digit and use the same steps

01:06 Divide

01:10 Write the result above, pay attention to the position

01:14 Multiply the result, subtract

01:20 We got a remainder of 0

01:23 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Step-by-step solution

To solve the division $3412 \div 2$ , we will use long division:

Step 1: Start with the leftmost digit. Divide 3 by 2, which goes 1 time. Write 1 above the division bar. Multiply 1 by 2, subtract from 3 to get a remainder of 1.
Step 2: Bring down the next digit (4) to get 14. Divide 14 by 2, which is 7. Write 7 above the division bar. Multiply 7 by 2, subtract from 14 to get 0.
Step 3: Bring down the next digit (1) to get 1. Divide 1 by 2, which goes 0 times. Write 0 above the division bar.
Step 4: Bring down the final digit (2) to get 12. Divide 12 by 2, which is 6. Write 6 above the division bar. Multiply 6 by 2, which equals 12. Subtract from 12 to get 0.
Since all digits have been brought down and divided with a remainder of 0, the quotient is the complete result of the division.

Therefore, the final quotient is $\mathbf{1706}$ .

Final Answer

$1706$

Key Points to Remember

Essential concepts to master this topic

Process: Divide each digit from left to right systematically
Technique: Bring down next digit when remainder exists, like 1 becomes 14
Check: Multiply quotient by divisor: 1706 × 2 = 3412 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to write 0 when a digit doesn't divide evenly
Don't skip writing 0 in the quotient when 1 ÷ 2 = 0 remainder 1! This shifts all following digits to wrong place values, giving 176 instead of 1706. Always write 0 as a placeholder to maintain correct position values.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I write 0 when 1 divided by 2 doesn't go?

The 0 is a placeholder that keeps all digits in their correct positions! Without it, your answer would be 176 instead of 1706 - completely wrong because each digit shifted left.

What if I get confused about which digit to bring down next?

Always work left to right through the dividend (3412). After dividing 3, bring down 4. After dividing 14, bring down 1. After dividing 1, bring down 2. One digit at a time!

How do I know when I'm completely done?

You're done when you've brought down all digits from the dividend and have no remainder left. In this case, after dividing 12 by 2, we get 0 remainder - finished!

What does it mean to 'multiply and subtract' in each step?

After dividing, you multiply your quotient digit by the divisor, then subtract that from your current working number. Like: 14 ÷ 2 = 7, then 7 × 2 = 14, finally 14 - 14 = 0.

Can I check my answer a different way?

Yes! Multiplication is the opposite of division. Multiply your answer (1706) by the divisor (2). If you get the original number (3412), you're correct!

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