115686 ÷ 13 
We want to divide 115686 by 13.

Step 1:
13 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 13

Going ahead to step 2:
The number 13 fits into 11 0 times, leaving a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Take the next digit (5) from the dividend and append it to 11, then repeat: 115 / 13

Advancing to step 3:
If we divide 115 by 13, we get 8 and a remainder of 11.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 11 after subtracting 104 from 115.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 13

Advancing to step 4:
13 can be fit into 116 8 times, resulting in a remainder of 12.
The next digit of our result is 8. 
Result so far: 88.0
Subtracting 104 from 116 leaves us with 12.
Bring next digit (8) of the dividend behind the 12 and repeat the process: 128 / 13

Step 5:
When dividing 128 by 13, we get 9 with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 889.0
Subtracting 117 from 128 leaves us with 11.
Take the next digit (6) from the dividend and append it to 11, then repeat: 116 / 13

Going ahead to step 6:
If we divide 116 by 13, we get 8 and a remainder of 12.
The next digit of our result is 8. 
Result so far: 8898.0
Deduct 104 from 116 and we're left with 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 7:
13 goes into 120 9 times with a remainder of 3.
The next digit of our result is 9. 
Result so far: 8898.9
Subtracting 117 from 120 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 8:
30 divided by 13 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 8898.92
Subtracting 26 from 30 leaves us 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.

Advancing to step 9:
40 divided by 13 is 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 8898.923
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.

Step 10:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 8898.923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
13 goes into 100 7 times with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 8898.92307
If we take 91 away from 100, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 12:
The number 13 fits into 90 6 times, leaving a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 8898.923076
If we take 78 away from 90, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 13:
If we divide 120 by 13, we get 9 and a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 8898.9230769
Subtract 117 from 120 to get 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 14:
When dividing 30 by 13, we get 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 8898.92307692
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.

The final outcome is 8898.92307692, with a leftover of 4e-09.