We look at the division of 9508 by 13 
Our goal is to divide 9508 by 13.

Step 1:
9 divided by 13 is 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 13

Step 2:
The number 13 fits into 95 7 times, leaving a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 7.0
The remainder is 4 after subtracting 91 from 95.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 13

Step 3:
13 goes into 40 3 times with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 73.0
Deduct 39 from 40 and we're left with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 13

Step 4:
18 divided by 13 is 1 with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 731.0
Subtract 13 from 18 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 5:
13 goes into 50 3 times with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 731.3
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 6:
13 goes into 110 8 times with a remainder of 6.
The next digit of our result is 8. 
Result so far: 731.38
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
The number 13 fits into 60 4 times, leaving a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 731.384
Subtract 52 from 60 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 8:
If we divide 80 by 13, we get 6 and a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 731.3846
If we take 78 away from 80, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 9:
If we divide 20 by 13, we get 1 and a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 731.38461
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 10:
13 goes into 70 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 731.384615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 11:
50 divided by 13 is 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 731.3846153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 12:
If we divide 110 by 13, we get 8 and a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 731.38461538
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 731.38461538 with a balance of 6e-09.