Long Division Problem: Dividing 321 by 8 Step-by-Step

Q: Why can't 8 go into 3 at the beginning?

Since 8 is larger than 3, we need to look at the first two digits (32) instead. This is why we start by dividing 32 by 8, not 3 by 8.

Q: What do I do when 8 doesn't fit into 1?

When the divisor is larger than the remaining number, write 0 in the quotient and keep that number as your remainder. Here, 8 > 1, so we write 0 and remainder 1.

Q: How do I know my long division is correct?

Use this formula: Divisor × Quotient + Remainder = DividendCheck: $ 8 \times 40 + 1 = 320 + 1 = 321 $ ✓

Q: Why is the remainder 1 instead of continuing division?

In whole number division, we stop when the remaining number is smaller than the divisor. Since 1

Q: What if I made an error in my multiplication step?

Always double-check: 8 × 4 = 32. If you get a different result, your subtraction will be wrong and throw off the entire problem. Take your time with basic facts!

Long Division with Three-Digit Numbers

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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

00:06 3 is less than 8, so we'll bring down the next digit, and then divide

00:11 Write the result above, pay attention to the position

00:15 Now multiply the result by the divisor

00:20 Subtract the product from the number

00:26 Now bring down the next digit below and use the same steps

00:31 Divide

00:35 Write the result without the remainder above, pay attention to the position

00:38 Multiply the result and subtract

00:43 We got a remainder of 1

00:48 And this is the solution to the problem

Step-by-step written solution

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Understand the problem

Step-by-step solution

To solve the problem of dividing 321 by 8, we'll perform long division. Here are the steps:

Step 1: Set up 321 as the dividend and 8 as the divisor.
Step 2: Determine how many times 8 fits into the first digit of 321. Since 8 goes into 32 (the first two digits) four times without exceeding it, write 4 above the dividend.
Step 3: Multiply 8 by 4 giving 32, and subtract 32 from 32, resulting in 0.
Step 4: Bring down the next digit, 1, making the current number 1.
Step 5: Determine how many times 8 fits into 1. It fits 0 times, placing a 0 in the quotient.
Step 6: Since there are no more digits to bring down, 1 becomes the remainder.

Therefore, the quotient is 40 and the remainder is 1.

Thus, the solution to dividing 321 by 8 is: $\text{Quotient} = 40$ , $\text{Remainder} = 1$ .

According to the given choices, the correct choice is: $40$ with a remainder of 1

Final Answer

$40$ with a remainder of 1

Key Points to Remember

Essential concepts to master this topic

Setup: Place divisor outside bracket, dividend inside for organization
Technique: Divide 32 by 8 first, then bring down 1
Check: Multiply quotient 40 × 8 + remainder 1 = 321 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to bring down the last digit
Don't stop after dividing 32 by 8 and getting 4 = incomplete answer! You miss the final digit and get wrong quotient. Always bring down every remaining digit one at a time.

Practice Quiz

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FAQ

Everything you need to know about this question

Why can't 8 go into 3 at the beginning?

Since 8 is larger than 3, we need to look at the first two digits (32) instead. This is why we start by dividing 32 by 8, not 3 by 8.

What do I do when 8 doesn't fit into 1?

When the divisor is larger than the remaining number, write 0 in the quotient and keep that number as your remainder. Here, 8 > 1, so we write 0 and remainder 1.

How do I know my long division is correct?

Use this formula: Divisor × Quotient + Remainder = Dividend

Check: $8 \times 40 + 1 = 320 + 1 = 321$ ✓

Why is the remainder 1 instead of continuing division?

In whole number division, we stop when the remaining number is smaller than the divisor. Since 1 < 8, we cannot divide further and 1 becomes our remainder.

What if I made an error in my multiplication step?

Always double-check: 8 × 4 = 32. If you get a different result, your subtraction will be wrong and throw off the entire problem. Take your time with basic facts!

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