Long Division Problem: Dividing 631 by 9 Step-by-Step

Q: What do I do when a digit is smaller than the divisor?

When the first digit is smaller than the divisor (like 6

Q: How do I know where to write each quotient digit?

Write each quotient digit directly above the last digit you used from the dividend. For 63 ÷ 9 = 7, write the 7 above the 3 in 631.

Q: What if I get a remainder at the end?

That's normal! Write your final answer as quotient with remainder. For example: $ 631 \div 9 = 70 $ remainder 1.

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

Use this formula: divisor × quotient + remainder = dividend. Check: $ 9 \times 70 + 1 = 630 + 1 = 631 $ ✓

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

Bringing down one digit at a time keeps the division organized and prevents errors. It helps you work systematically through each step of the problem.

Long Division with Three-Digit Dividends

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:10 Let's solve this problem together.

00:13 First, we'll divide the leftmost digit in the dividend.

00:17 Since 6 is smaller than 9, bring down the next digit, then divide.

00:22 Write the result above, in line with its column.

00:25 Next, multiply this result by the divisor.

00:29 Subtract the product from the current number.

00:33 Now, bring down the next digit and repeat the steps.

00:37 Divide the new number by the divisor.

00:40 Record the result without remainder above, paying attention to position.

00:45 Multiply your result and subtract again.

00:48 We've got a remainder of 1.

00:51 And that's how we solve this problem. Great job!

Step-by-step written solution

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Understand the problem

Step-by-step solution

To solve this problem, we will use the long division method on $631 \div 9$ .

Step 1: Observe the dividend $631$ and divisor $9$ .
Step 2: Start division with the leftmost digit of the dividend:
- $9$ into the first significant digit $6$ gives a quotient of $0$ (as $9 > 6$ ).
- Extend to the next digit for $63$ . Divide $63 \div 9 = 7$ , since $9 \times 7 = 63$ .
- Subtract: $63 - 63 = 0$ . Now, bring down the next digit $1$ .
- With the current remainder $1$ , dividing $1 \div 9$ gives zero quotient, remainder stays $1$ .
Final Step: Overall, $631 \div 9 = 70$ with a remainder of $1$ as $9 \times 70 + 1 = 631$ .

Therefore, the solution to the problem is $70$ with a remainder of $1$ .

Final Answer

$70$ with a remainder of 1

Key Points to Remember

Essential concepts to master this topic

Rule: Work digit by digit from left to right
Technique: $63 \div 9 = 7$ , bring down next digit to continue
Check: Verify $9 \times 70 + 1 = 631$ ✓

Common Mistakes

Avoid these frequent errors

Trying to divide single digits when they're too small
Don't try to divide 6 by 9 and get confused = wrong start! Since 6 < 9, you need to combine it with the next digit. Always group digits until you have enough to divide by your divisor.

Practice Quiz

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FAQ

Everything you need to know about this question

What do I do when a digit is smaller than the divisor?

When the first digit is smaller than the divisor (like 6 < 9), combine it with the next digit. So instead of dividing 6 by 9, you divide 63 by 9.

How do I know where to write each quotient digit?

Write each quotient digit directly above the last digit you used from the dividend. For 63 ÷ 9 = 7, write the 7 above the 3 in 631.

What if I get a remainder at the end?

That's normal! Write your final answer as quotient with remainder. For example: $631 \div 9 = 70$ remainder 1.

How can I check if my long division is correct?

Use this formula: divisor × quotient + remainder = dividend. Check: $9 \times 70 + 1 = 630 + 1 = 631$ ✓

Why do I bring down digits one at a time?

Bringing down one digit at a time keeps the division organized and prevents errors. It helps you work systematically through each step of the problem.

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