We're dividing 115209 by 13 
We want to figure out the number of times 115209 can be divided by 13.

Going ahead to step 1:
13 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 13

Moving on to step 2:
11 divided by 13 is 0 with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Take the next digit (5) from the dividend and append it to 11, then repeat: 115 / 13

Let's proceed to step 3:
13 can be fit into 115 8 times, resulting in a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we take 104 away from 115, we end up with 11.
Fetch the next digit (2) from the dividend, attach it to 11 and continue: 112 / 13

Advancing to step 4:
If we divide 112 by 13, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 88.0
Subtract 104 from 112 to get 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 13

Let's proceed to step 5:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The next digit of our result is 6. 
Result so far: 886.0
Subtracting 78 from 80 leaves us with 2.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 13

On to step 6:
13 goes into 29 2 times with a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 8862.0
Subtracting 26 from 29 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
When dividing 30 by 13, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 8862.2
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
When dividing 40 by 13, we get 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 8862.23
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 9:
When dividing 10 by 13, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 8862.23
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
100 divided by 13 is 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 8862.2307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 11:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 8862.23076
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 12:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 8862.230769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 13:
If we divide 30 by 13, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 8862.2307692
If we take 26 away from 30, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 14:
If we divide 40 by 13, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 8862.23076923
If we take 39 away from 40, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 8862.23076923 and a remainder of 1e-09.