The problem is to solve the long division problem: $9567 \div 646$. The image shows the initial steps of the long division.

1. Problem Description

The problem is to solve the long division problem: $9567 \div 646$. The image shows the initial steps of the long division.

2. Solution Steps

First, we need to determine how many times 646 goes into

9

5

6. The provided work shows that 646 goes into 956 once, so we write '1' above the 6 in

9

5

6

7.

Then we multiply 1 by 646, which is

6

4

6. We subtract 646 from

9

5

6. $956 - 646 = 310$.

Now, bring down the 7 from 9567, resulting in

3

1

0

7. We need to find out how many times 646 goes into

3

1

0

7. Estimate: $3100 \div 600$ is approximately

5.

Now multiply $646 \times 4 = 2584$.

Multiply $646 \times 5 = 3230$. This is bigger than 3107 so 4 is the right answer.

So 646 goes into 3107 four times. Write 4 above the 7 in

9

5

6

7. $646 \times 4 = 2584$.

$3107 - 2584 = 523$.

The quotient is 14, and the remainder is

5

2

3.

3. Final Answer

$9567 \div 646 = 14$ with a remainder of $523$.

So, the answer is $14 R 523$.