$ 2220 $ with a remainder of 3

$ 2101 $ with a remainder of 3

$ 2101 $ with a remainder of 4

Solve Division Problem: 9998÷9 Using Long Division Method

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

When a digit is smaller than the divisor (like 8÷9), write 0 in the quotient and keep that digit as the remainder. Don't try to force a division!

Q: How do I know where to place each digit in my answer?

Each digit in your quotient corresponds to the place value you're working on. Start from the leftmost digit of the dividend and work right, placing each result in the correct position.

Q: Why do I get a remainder of 8 instead of continuing?

Since 8 is less than 9, we can't divide it evenly. The remainder of 8 means there are 8 units left over that can't form another group of 9.

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

Use the division check formula: $ \text{dividend} = \text{divisor} \times \text{quotient} + \text{remainder} $. For this problem: $ 9998 = 9 \times 1110 + 8 $

Q: What if I make an error in the middle of long division?

Don't panic! Go back to where the numbers don't make sense. Check your multiplication and subtraction at each step. It's normal to make small errors - just fix them and continue.

Long Division with Four-Digit Numbers

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's solve this problem, step by step.

00:09 First, divide the leftmost digit of the dividend.

00:12 Write the result above, without the remainder.

00:16 Next, multiply this result by the divisor.

00:20 Subtract the product from your number.

00:23 Bring down the next digit, and repeat the steps.

00:27 If you see the same number, reuse the previous calculations.

00:32 Again, bring down the next digit and follow the steps.

00:36 Once more, bring down the next digit and repeat.

00:43 Time to divide again.

00:47 Write the result above, paying attention to its position.

00:51 Then, multiply your result and subtract.

00:55 Here, we have a remainder of 8.

00:59 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 the problem of dividing 9998 by 9, we will perform long division:

Step 1: Initialize the long division of 9998 by 9.
Step 2: Divide the first digit of 9998, which is 9, by 9. This gives us 1. Write down 1.
Step 3: Subtract $9 \times 1 = 9$ from 9, resulting in 0. Bring down the next digit, 9.
Step 4: Divide 9 by 9, which again gives us 1. Write down the second 1 next to the first.
Step 5: Subtract $9 \times 1 = 9$ from 9, resulting in 0. Bring down the next digit, which is another 9.
Step 6: As with the previous steps, divide 9 by 9, write 1, subtract 9, and bring down the next digit 8.
Step 7: Divide 8 by 9, which results in 0 as 8 is less than 9. Here, 8 is the remainder.

Thus, the complete quotient from dividing 9998 by 9 is 1110 with a remainder of 8. Therefore, the division is expressed as:

$9998 = 9 \times 1110 + 8$

Therefore, the solution to the problem is $1110$ with a remainder of 8.

Final Answer

$1110$ with a remainder of 8

Key Points to Remember

Essential concepts to master this topic

Setup: Organize divisor outside, dividend inside the division bracket
Technique: Work left to right: 9÷9=1, bring down next digit
Check: Multiply quotient by divisor plus remainder: 1110×9+8=9998 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to bring down the next digit
Don't divide each digit separately without bringing down = wrong quotient! This breaks the place value system and gives completely incorrect answers. Always bring down the next digit after 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 is smaller than the divisor (like 8÷9), write 0 in the quotient and keep that digit as the remainder. Don't try to force a division!

How do I know where to place each digit in my answer?

Each digit in your quotient corresponds to the place value you're working on. Start from the leftmost digit of the dividend and work right, placing each result in the correct position.

Why do I get a remainder of 8 instead of continuing?

Since 8 is less than 9, we can't divide it evenly. The remainder of 8 means there are 8 units left over that can't form another group of 9.

How can I check if my long division is correct?

Use the division check formula: $\text{dividend} = \text{divisor} \times \text{quotient} + \text{remainder}$ . For this problem: $9998 = 9 \times 1110 + 8$

What if I make an error in the middle of long division?

Don't panic! Go back to where the numbers don't make sense. Check your multiplication and subtraction at each step. It's normal to make small errors - just fix them and continue.

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