$ 304 $ with a remainder of 3

$ 102 $ with a remainder of 8

Solve 979 ÷ 9: Vertical Division Step-by-Step

Q: Why do I write 0 when 7 is less than 9?

You must write 0 as a placeholder to keep digits in their correct positions! Without it, your final answer would be 18 instead of 108, which is completely wrong.

Q: Can I check my answer without multiplying big numbers?

Yes! Use the relationship: dividend = quotient × divisor + remainder. So $ 979 = 108 \times 9 + 7 $. Calculate $ 108 \times 9 = 972 $, then $ 972 + 7 = 979 $ ✓

Q: Why is long division better than using a calculator?

Long division helps you understand how division actually works and builds number sense. Plus, it shows you both the quotient AND remainder, which calculators often don't display clearly.

Long Division with Three-Digit Remainders

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's solve this problem step by step.

00:10 First, divide the leftmost digit of the dividend by the divisor.

00:15 Write the result above the line.

00:17 Next, multiply this result by the divisor.

00:21 Subtract that product from the dividend's digit.

00:25 Bring down the next digit and repeat these steps.

00:29 Now, divide again.

00:32 Write the result on top, right where it belongs.

00:36 Multiply the result by the divisor and then subtract.

00:40 Bring down the next digit and repeat.

00:43 Divide one more time.

00:46 Record the answer right above, precisely in its place.

00:51 Multiply it with the divisor and subtract from what's left.

00:57 We're left with a remainder of seven.

01:03 And that's how we solve this 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 need to divide 979 by 9 using long division.

The steps are as follows:

Step 1: Divide the first digit. 9 divided by 9 is 1. Write 1 as the first digit of the quotient.
Step 2: Multiply 1 by 9 and subtract from 9. This leaves 0. Bring down the next digit, 7.
Step 3: Now divide 7 by 9. The result is 0 (because 7 is less than 9). Write 0 as the next digit of the quotient.
Step 4: Bring down the next digit, which is 9, making it 79.
Step 5: Divide 79 by 9. This gives 8 since 9 times 8 is 72.
Step 6: Multiply 8 by 9 giving 72, and subtract from 79 leaving a remainder of 7.

The quotient of the division is 108 with a remainder of 7.

Therefore, the solution to the problem is $108$ with a remainder of 7.

Final Answer

$108$ with a remainder of 7

Key Points to Remember

Essential concepts to master this topic

Setup: Work left to right, dividing each digit systematically
Technique: When 7 ÷ 9 = 0, write 0 and bring down next digit
Check: Multiply quotient by divisor and add remainder: 108 × 9 + 7 = 979 ✓

Common Mistakes

Avoid these frequent errors

Skipping zeros in the quotient
Don't skip writing 0 when a digit is smaller than the divisor = wrong place values! This shifts all following digits and gives completely wrong answers. Always write 0 as a placeholder to maintain correct positioning.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I write 0 when 7 is less than 9?

You must write 0 as a placeholder to keep digits in their correct positions! Without it, your final answer would be 18 instead of 108, which is completely wrong.

How do I know when to stop dividing?

Stop when you've brought down all digits from the dividend. The number left over (if any) becomes your remainder. In this case, we had 7 left over.

What if my remainder is bigger than the divisor?

If your remainder equals or exceeds the divisor, you made an error! Go back and check your division - you can probably divide one more time.

Can I check my answer without multiplying big numbers?

Yes! Use the relationship: dividend = quotient × divisor + remainder. So $979 = 108 \times 9 + 7$ . Calculate $108 \times 9 = 972$ , then $972 + 7 = 979$ ✓

Why is long division better than using a calculator?

Long division helps you understand how division actually works and builds number sense. Plus, it shows you both the quotient AND remainder, which calculators often don't display clearly.

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