$ 545 $ with a remainder of 3

$ 612 $ with a remainder of 5

$ 342 $ with a remainder of 4

Long Division Problem: Dividing 2831 by 5 Step-by-Step

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

Use the first two digits instead! Since 2

Q: How do I know how many times 5 goes into 28?

Think of your multiplication tables! 5 × 5 = 25 (fits), but 5 × 6 = 30 (too big). So 5 goes into 28 exactly 5 times with some remainder.

Q: Why do I keep getting different remainders at each step?

That's normal! Each step creates a new remainder when you bring down the next digit. The remainder from 28 ÷ 5 = 3 becomes 33 when you bring down the next digit (3).

Q: What does the final remainder mean?

The final remainder of 1 means there's 1 left over after dividing. So $ 2831 = 566 \times 5 + 1 $. It's the part that doesn't divide evenly.

Q: How can I check my long division answer?

Multiply and add! Take your quotient (566) × divisor (5) + remainder (1). If you get the original number (2831), your answer is correct!

Long Division with Multi-Digit Dividends

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's solve the problem step by step.

00:07 First, look at the leftmost number in our dividend.

00:11 Since two is less than five, we'll take the next digit and divide again.

00:17 Write the answer above, being careful with the position, without the remainder.

00:22 Next, multiply the answer by the divisor.

00:26 Subtract the product from your current number.

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

00:34 Now, divide the new number.

00:39 Again, write the result above, noting the position, and ignore the remainder.

00:45 Multiply your result, and subtract from your number.

00:57 Bring down the next digit, and repeat the steps.

01:03 Time to divide once more.

01:06 Place the new result above, and be mindful of the position.

01:11 Multiply, subtract, and check your remainder.

01:17 We have a remainder of one.

01:21 And that's our solution. Great job!

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 use long division to divide 2831 by 5:

Step 1: Divide the first digit of the dividend (2) by 5. Since 2 is less than 5, use the first two digits (28).
Step 2: 5 goes into 28 five times (because $5 \times 5 = 25$ ), so place 5 in the quotient.
Step 3: Subtract 25 from 28, resulting in a remainder of 3. Bring down the next digit (3) to get 33.
Step 4: 5 goes into 33 six times (because $5 \times 6 = 30$ ), so place 6 in the quotient.
Step 5: Subtract 30 from 33, resulting in a remainder of 3. Bring down the next digit (1) to get 31.
Step 6: 5 goes into 31 six times (because $5 \times 6 = 30$ ), so place another 6 in the quotient.
Step 7: Subtract 30 from 31, resulting in a final remainder of 1.

The complete quotient is 566 with a remainder of 1.

Therefore, the correct answer is the option: $566$ with a remainder of 1.

Final Answer

$566$ with a remainder of 1

Key Points to Remember

Essential concepts to master this topic

Rule: Divide from left to right, one digit at a time
Technique: Use 28 ÷ 5 = 5 remainder 3, then bring down next digit
Check: Multiply quotient by divisor: 566 × 5 + 1 = 2831 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to bring down the next digit
Don't leave remainders hanging without bringing down the next digit = incomplete division! This stops the process too early and gives a wrong quotient. Always bring down each remaining digit to continue dividing.

Practice Quiz

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FAQ

Everything you need to know about this question

What if the first digit is smaller than the divisor?

Use the first two digits instead! Since 2 < 5, we start with 28 ÷ 5. This is completely normal in long division - just grab enough digits to make a number larger than your divisor.

How do I know how many times 5 goes into 28?

Think of your multiplication tables! 5 × 5 = 25 (fits), but 5 × 6 = 30 (too big). So 5 goes into 28 exactly 5 times with some remainder.

Why do I keep getting different remainders at each step?

That's normal! Each step creates a new remainder when you bring down the next digit. The remainder from 28 ÷ 5 = 3 becomes 33 when you bring down the next digit (3).

What does the final remainder mean?

The final remainder of 1 means there's 1 left over after dividing. So $2831 = 566 \times 5 + 1$ . It's the part that doesn't divide evenly.

How can I check my long division answer?

Multiply and add! Take your quotient (566) × divisor (5) + remainder (1). If you get the original number (2831), your answer is correct!

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