$ 12101 $ with a remainder of 3

$ 11504 $ with a remainder of 3

$ 12203 $ with a remainder of 3

Divide 34211 by 3: Step-by-Step Long Division Problem

Q: Why do I need to write 0 in the middle of my answer?

Writing 0 as a placeholder keeps each digit in its correct position! Without it, your answer shifts left and becomes wrong. In this problem, when 1÷3=0, we must write the 0.

Q: What if I can't divide a number by the divisor?

When the dividend digit is smaller than the divisor, write 0 in the quotient and bring down the next digit. For example, 1÷3=0 with remainder 1.

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

You're finished when you've brought down all digits from the original number. The final remainder (if any) is what's left over after the last step.

Q: Can I check my long division answer?

Yes! Multiply your quotient by the divisor and add the remainder. If you get the original number, your division is correct!

Q: What does 'remainder' mean in division?

The remainder is the amount left over that can't be divided evenly. In $ 34211 ÷ 3 $, we get 11403 with 2 left over.

Q: Why does long division work from left to right?

We start with the largest place values first (thousands, hundreds, etc.) to build the answer systematically, just like how we read numbers from left to right!

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 number

00:16 Now bring down the next digit and use the same steps

00:19 Divide

00:22 Write the result without remainder above, paying attention to position

00:25 Multiply the result and subtract

00:30 Now bring down the next digit and use the same steps

00:33 Divide

00:37 Write the result without remainder above, paying attention to position

00:41 Multiply the result and subtract

00:44 Now bring down the next digit and use the same steps

00:48 Divide

00:51 Write the result without remainder above, paying attention to position

00:54 Multiply the result and subtract

00:58 Now bring down the next digit and use the same steps

01:02 Divide

01:05 Write the result without remainder above, paying attention to position

01:09 Multiply the result and subtract

01:14 We got a remainder of 2

01:21 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

2

Step-by-step solution

To solve the problem, we will perform long division of 34211 by 3:

Step 1: Divide the first digit of 34211, which is 3, by 3. $3 \div 3 = 1$ . Write 1 on top.
Step 2: Subtract $1 \times 3 = 3$ from the first 3, getting a remainder of 0. Now bring down the next digit, 4, making it 04.
Step 3: Divide 04 by 3. $4 \div 3 = 1$ . Write 1 on top.
Step 4: Subtract $1 \times 3 = 3$ from 4, getting a remainder of 1. Bring down the next digit, 2, making it 12.
Step 5: Divide 12 by 3. $12 \div 3 = 4$ . Write 4 on top.
Step 6: Subtract $4 \times 3 = 12$ from 12, getting a remainder of 0. Bring down the next digit, 1, making it 01.
Step 7: Divide 01 by 3. $1 \div 3 = 0$ . Write 0 on top.
Step 8: Subtract $0 \times 3 = 0$ from 1, getting a remainder of 1. Bring down the final digit, 1, making it 11.
Step 9: Divide 11 by 3. $11 \div 3 = 3$ . Write 3 on top.
Step 10: Subtract $3 \times 3 = 9$ from 11 to get a remainder of 2.

After completing the division, the quotient is $11403$ and the remainder is $2$ .

Therefore, the solution to the problem is $\mathbf{11403}$ with a remainder of $\mathbf{2}$ .

3

Final Answer

$11403$ with a remainder of 2

Key Points to Remember

Essential concepts to master this topic

Rule: Divide each digit group systematically from left to right
Technique: Bring down next digit when remainder is less than divisor: 1→12→0
Check: Multiply quotient by divisor and add remainder: 11403×3+2=34211 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to write zero placeholders in quotient
Don't skip writing 0 when a digit can't be divided = missing place values! This shifts all following digits one position left, giving completely wrong answers. Always write 0 in the quotient when the dividend digit is smaller than the divisor.

Practice Quiz

Test your knowledge with interactive questions

FAQ

Everything you need to know about this question

Why do I need to write 0 in the middle of my answer?

+

Writing 0 as a placeholder keeps each digit in its correct position! Without it, your answer shifts left and becomes wrong. In this problem, when 1÷3=0, we must write the 0.

What if I can't divide a number by the divisor?

+

When the dividend digit is smaller than the divisor, write 0 in the quotient and bring down the next digit. For example, 1÷3=0 with remainder 1.

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

+

You're finished when you've brought down all digits from the original number. The final remainder (if any) is what's left over after the last step.

Can I check my long division answer?

+

Yes! Multiply your quotient by the divisor and add the remainder. If you get the original number, your division is correct!

What does 'remainder' mean in division?

+

The remainder is the amount left over that can't be divided evenly. In $34211 ÷ 3$ , we get 11403 with 2 left over.

Why does long division work from left to right?

+

We start with the largest place values first (thousands, hundreds, etc.) to build the answer systematically, just like how we read numbers from left to right!

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Divide 34211 by 3: Step-by-Step Long Division Problem

Long Division with Five-Digit Numbers

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