$ 6224 $ with a remainder of 8

$ 5321 $ with a remainder of 6

$ 9203 $ with a remainder of 3

Long Division Problem: Divide 72034 by 9 Step by Step

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

When a digit like 7 is smaller than the divisor 9, you cannot divide it alone. Instead, bring down the next digit to make a larger number (like 72) that can be divided.

Q: Why is my remainder 7 instead of something else?

The remainder comes from the final subtraction: $ 34 - 27 = 7 $. Since 7 is less than our divisor 9, we cannot divide further, making 7 our final remainder.

Q: What if I get confused about which digit to bring down next?

Always work from left to right through the dividend. After each division step, bring down the very next digit that you haven't used yet. In 72034, the order is: 7→2→0→3→4.

Long Division with Multi-Digit Remainders

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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.

00:07 Begin by dividing the first digit of the dividend.

00:11 Seven is less than nine, so let's add the next digit and divide.

00:16 Write the result on top, matching the position. No remainder yet.

00:21 Multiply the result with the divisor now.

00:23 Subtract this product from our number.

00:27 Bring down the next digit and repeat these steps.

00:31 Now, divide again.

00:34 Write your result above without the remainder.

00:38 Multiply the result, and subtract like before.

00:42 Time to bring down another digit and repeat.

00:45 Let's divide once more.

00:48 Write the result without considering the remainder.

00:52 Multiply your result and subtract as usual.

00:56 Bring down the next digit and keep going.

01:00 One last time, divide.

01:03 Place the result without the remainder above.

01:06 Multiply this result, and subtract again.

01:10 We have a remainder of seven.

01:16 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 division problem, follow these steps:

Step 1: Divide the first digit of the dividend (7) by the divisor (9). Since 9 is greater than 7, we can't divide 7, so we consider the first two digits, 72.
Step 2: Divide 72 by 9. The result is 8 (since $8 \times 9 = 72$ ). Subtract 72 from 72 to get a remainder of 0.
Step 3: Bring down the next digit of the dividend (0), making it 0.
Step 4: Divide 0 by 9. The result is 0, as $0 \times 9 = 0$ . Subtract 0 from 0 to still get a remainder of 0.
Step 5: Bring down the next digit (3). Divide 3 by 9 to get 0 (since $0 \times 9 = 0$ ). Subtract 0 from 3 to get a remainder of 3.
Step 6: Bring down the final digit (4), making it 34.
Step 7: Divide 34 by 9, which goes 3 times (since $3 \times 9 = 27$ ). Subtract 27 from 34 to get a remainder of 7.

The process gives us a quotient of 8003 and a remainder of 7. Thus, the division of 72034 by 9 yields:

$8003$ with a remainder of 7.

Final Answer

$8003$ with a remainder of 7

Key Points to Remember

Essential concepts to master this topic

Rule: When digit is smaller than divisor, bring down next digit
Technique: 34 ÷ 9 = 3 remainder 7 because $3 \times 9 = 27$
Check: Verify $8003 \times 9 + 7 = 72034$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to bring down all digits before dividing
Don't divide 3 by 9 and write 0 with remainder 3 = incomplete division! You need to bring down the final digit (4) to make 34, then divide 34 by 9. Always bring down the next digit before attempting each division step.

Practice Quiz

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FAQ

Everything you need to know about this question

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

When a digit like 7 is smaller than the divisor 9, you cannot divide it alone. Instead, bring down the next digit to make a larger number (like 72) that can be divided.

How do I know when to write 0 in my quotient?

Write 0 in your quotient when the number you're dividing is smaller than the divisor. For example, 3 ÷ 9 = 0 remainder 3, so you write 0 and carry the remainder forward.

Why is my remainder 7 instead of something else?

The remainder comes from the final subtraction: $34 - 27 = 7$ . Since 7 is less than our divisor 9, we cannot divide further, making 7 our final remainder.

How can I check if my long division is correct?

Multiply your quotient by the divisor, then add the remainder: $8003 \times 9 + 7$ . If this equals your original dividend (72034), your answer is correct!

What if I get confused about which digit to bring down next?

Always work from left to right through the dividend. After each division step, bring down the very next digit that you haven't used yet. In 72034, the order is: 7→2→0→3→4.

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