Solve Division Problem: 9998÷9 Using Long Division Method

99998

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Step-by-step video solution

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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

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1

Understand the problem

99998

2

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 9×1=99 \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 9×1=99 \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=9×1110+8 9998 = 9 \times 1110 + 8

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

3

Final Answer

1110 1110 with a remainder of 8

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