Long Division Problem: Dividing 42513 by 3 Step-by-Step

Q: What if a digit doesn't divide evenly?

That's normal! When 5÷3 gives you 1 remainder 2, write 1 in the quotient and carry the remainder 2 to combine with the next digit you bring down.

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

Each division result goes directly above the digit you're dividing. Start from the left and work your way right, one position at a time.

Q: What if the first digit is smaller than the divisor?

Look at the first two digits together! If 4 is less than your divisor, combine it with the next digit to make 42, then divide 42 by your divisor.

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

Multiply your answer by the original divisor. For example: $ 14171 \times 3 = 42513 $. If you get the original dividend, you're correct!

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

Organization is key! Bringing down one digit at a time keeps your work neat and helps you avoid mistakes in digit placement. It also makes checking your work much easier.

Q: What does it mean when there's no remainder at the end?

Great news! It means the division is exact - the dividend divides evenly by the divisor with no leftover amount. Your quotient is a whole number.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:11 Let's solve a division problem.

00:15 Start by dividing the first digit of the dividend.

00:20 Write the result above, no remainder.

00:24 Now multiply this result by the divisor.

00:27 Subtract the product from your digit.

00:30 Bring down the next digit, and repeat.

00:34 Let's divide again.

00:37 Write the result above.

00:40 Then multiply and subtract.

00:45 Bring down the next digit, and repeat.

00:48 Divide again.

00:53 Write the result above, no remainder.

00:57 Multiply, subtract, and keep going.

01:04 Bring down the next digit, almost there!

01:09 Divide one more time.

01:11 Result goes above.

01:15 Multiply, subtract, nearly done!

01:23 Bring down that last digit.

01:28 Final divide!

01:32 Place the result.

01:36 Multiply, subtract.

01:40 We have a remainder of zero.

01:44 And that's 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 this problem, we will perform long division of the number 42513 by 3 step by step:

Step 1: Look at the first digit of 42513, which is 4. Divide 4 by 3, which gives 1. Write 1 as the first digit of the quotient.
Step 2: Multiply 1 by 3 (the divisor) to get 3. Subtract 3 from 4, leaving 1.
Step 3: Bring down the next digit, 2, making the new number 12.
Step 4: Divide 12 by 3, which equals 4. Write 4 as the next digit in the quotient.
Step 5: Multiply 4 by 3 to get 12 and subtract from 12, leaving 0.
Step 6: Bring down the next digit, 5, making the new number 5.
Step 7: Divide 5 by 3, which gives 1. Write 1 in the quotient.
Step 8: Multiply 1 by 3 to get 3 and subtract from 5, leaving 2.
Step 9: Bring down the next digit, 1, making the new number 21.
Step 10: Divide 21 by 3, which equals 7. Write 7 in the quotient.
Step 11: Multiply 7 by 3 to get 21 and subtract from 21, leaving 0.
Step 12: Bring down the final digit, 3.
Step 13: Divide 3 by 3, which equals 1. Write 1 in the quotient.
Step 14: Multiply 1 by 3 to get 3 and subtract from 3, leaving 0.

Thus, the division is complete, and there is no remainder. The quotient of 42513 divided by 3 is $14171$ .

Therefore, the solution to the problem is $14171$ .

3

Final Answer

$14171$

Key Points to Remember

Essential concepts to master this topic

Setup: Write divisor outside, dividend inside the division bracket
Technique: Divide digit by digit: 4÷3=1, bring down next digit
Check: Multiply quotient by divisor: 14171×3=42513 ✓

Common Mistakes

Avoid these frequent errors

Skipping steps when bringing down digits
Don't jump ahead and divide multiple digits at once = wrong placement in quotient! This creates confusion about where each digit belongs in the answer. Always work one digit at a time, bringing down the next digit only after completing each division step.

Practice Quiz

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FAQ

Everything you need to know about this question

What if a digit doesn't divide evenly?

+

That's normal! When 5÷3 gives you 1 remainder 2, write 1 in the quotient and carry the remainder 2 to combine with the next digit you bring down.

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

+

Each division result goes directly above the digit you're dividing. Start from the left and work your way right, one position at a time.

What if the first digit is smaller than the divisor?

+

Look at the first two digits together! If 4 is less than your divisor, combine it with the next digit to make 42, then divide 42 by your divisor.

How can I check if my long division is correct?

+

Multiply your answer by the original divisor. For example: $14171 \times 3 = 42513$ . If you get the original dividend, you're correct!

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

+

Organization is key! Bringing down one digit at a time keeps your work neat and helps you avoid mistakes in digit placement. It also makes checking your work much easier.

What does it mean when there's no remainder at the end?

+

Great news! It means the division is exact - the dividend divides evenly by the divisor with no leftover amount. Your quotient is a whole number.

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Long Division Problem: Dividing 42513 by 3 Step-by-Step

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