$ 2129 $ with a remainder of 5

$ 3216 $ with a remainder of 3

$ 2614 $ with a remainder of 2

Long Division Problem: Divide 20035 by 6 Step-by-Step

Q: Why do I start with 20 instead of just 2?

You need enough digits to divide! Since 6 is larger than 2, you can't divide 2 by 6. Take the first two digits (20) to get a number large enough for division.

Q: What happens if I can't divide evenly?

That's normal in long division! The remainder is what's left over. In this problem, 20035 ÷ 6 = 3339 with remainder 1, meaning 1 is left over after all divisions.

Q: Why does 6 go into 23 only 3 times when 6×4=24?

Because 6×4=24 is greater than 23! In division, you use the largest whole number that doesn't exceed your dividend. Since 6×3=18 ≤ 23 but 6×4=24 > 23, use 3.

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

Multiply: quotient × divisorAdd: the remainderCompare: result should equal original dividendExample: $ 3339 \times 6 + 1 = 20035 $ ✓

Long Division with Five-Digit Dividends

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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 2 is less than 6, so we'll bring down the next digit, and then divide

00:11 Write the result without remainder above, paying attention to position

00:15 Now multiply the result by the divisor

00:19 Subtract the product from the number

00:24 Now bring down the next digit and use the same steps

00:29 We got the same number, so we'll use the same calculations

00:35 Now bring down the next digit and use the same steps

00:42 Divide

00:46 Write the result without remainder above, paying attention to position

00:50 Multiply the result and subtract

00:55 Now bring down the next digit and use the same steps

00:59 Divide

01:03 Write the result without remainder above, paying attention to position

01:09 Multiply the result and subtract

01:15 We got a remainder of 1

01:19 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Step-by-step solution

To solve this problem, we'll perform long division of 20035 by 6:

Step 1: Divide 20 by 6.
- 6 goes into 20 three times (since $6 \times 3 = 18$ ), leaving a remainder of 2.
- Write the 3 in the quotient, and bring down the next digit, 0, to make 20.
Step 2: Divide 20 by 6 again.
- 6 goes into 20 three times (same calculation as before), leaving a remainder of 2.
- Write the next 3 in the quotient, and bring down the next digit, 0, to make 23.
Step 3: Divide 23 by 6.
- 6 fits into 23 three times (since $6 \times 3 = 18$ ), leaving a remainder of 5.
- Write the next 3 in the quotient, and bring down the next digit, 5, to make 55.
Step 4: Divide 55 by 6.
- 6 fits into 55 nine times (since $6 \times 9 = 54$ ), leaving a remainder of 1.

The resultant quotient is 3339, with a remainder of 1.

Therefore, the solution to the problem is $3339$ with a remainder of 1.

Final Answer

$3339$ with a remainder of 1

Key Points to Remember

Essential concepts to master this topic

Rule: Start dividing from the leftmost digits of the dividend
Technique: 6 goes into 20 three times (6×3=18), remainder 2
Check: Multiply quotient by divisor and add remainder: 3339×6+1=20035 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to bring down digits systematically
Don't skip bringing down the next digit after each division step = incomplete calculations! This leads to wrong quotient values and missing remainder. Always bring down one digit at a time and complete each division step fully.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I start with 20 instead of just 2?

You need enough digits to divide! Since 6 is larger than 2, you can't divide 2 by 6. Take the first two digits (20) to get a number large enough for division.

What happens if I can't divide evenly?

That's normal in long division! The remainder is what's left over. In this problem, 20035 ÷ 6 = 3339 with remainder 1, meaning 1 is left over after all divisions.

How do I know when to stop dividing?

Stop when you've brought down all digits from the dividend and completed the final division. The last remainder becomes your final remainder for the answer.

Why does 6 go into 23 only 3 times when 6×4=24?

Because 6×4=24 is greater than 23! In division, you use the largest whole number that doesn't exceed your dividend. Since 6×3=18 ≤ 23 but 6×4=24 > 23, use 3.

How can I check if my long division is correct?

Multiply: quotient × divisor
Add: the remainder
Compare: result should equal original dividend
Example: $3339 \times 6 + 1 = 20035$ ✓

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