Solve Division Problem: 9 ÷ 9998 Using Long Division Method

Video Solution

Solution Steps

00:00 Solve

00:03 Let's start by dividing the leftmost digit in the dividend

00:07 Write the result without the remainder above

00:10 Now multiply the result by the divisor

00:13 Subtract the product from the number

00:17 Now bring down the next digit and use the same steps

00:21 We got the same number, so we'll use the previous calculations

00:27 Now bring down the next digit and use the same steps

00:31 We got the same number, so we'll use the previous calculations

00:38 Now bring down the next digit and use the same steps

00:42 Divide

00:46 Write the result without the remainder above, pay attention to the position

00:50 Multiply the result and subtract

00:54 We got a remainder of 8

00:57 And this is the solution to 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.