We look at the division of 113696 by 13 
Our goal is to divide 113696 by 13.

Moving on to step 1:
13 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 13

Advancing to step 2:
If we divide 11 by 13, we get 0 and a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Bring next digit (3) of the dividend behind the 11 and repeat the process: 113 / 13

Going ahead to step 3:
13 goes into 113 8 times with a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 104 from 113 and we're left with 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 13

Going ahead to step 4:
13 goes into 96 7 times with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 87.0
Subtract 91 from 96 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 13

Advancing to step 5:
59 divided by 13 is 4 with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 874.0
Subtracting 52 from 59 leaves us with 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 13

On to step 6:
If we divide 76 by 13, we get 5 and a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 8745.0
Deduct 65 from 76 and we're left with 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 7:
13 goes into 110 8 times with a remainder of 6.
The next digit of our result is 8. 
Result so far: 8745.8
The remainder is 6 after subtracting 104 from 110.
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 8:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 8745.84
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 8745.846
Deduct 78 from 80 and we're left 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.

Let's proceed to step 10:
When dividing 20 by 13, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 8745.8461
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.

On to step 11:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 8745.84615
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 12:
If we divide 50 by 13, we get 3 and a remainder of 11.
The next digit of our result is 3. 
Result so far: 8745.846153
If we take 39 away from 50, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 13:
13 goes into 110 8 times with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 8745.8461538
If we take 104 away from 110, we end up 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.

On to step 14:
60 divided by 13 is 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 8745.84615384
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.

Our division results in 8745.84615384 with a remaining 8e-09.