We're dividing 110686 by 13 
The aim is to understand the frequency of 13 in 110686.

Advancing to step 1:
If we divide 1 by 13, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 13

On to step 2:
13 can be fit into 11 0 times, resulting in a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Append the next digit (0) from the dividend to 11 and continue with: 110 / 13

Advancing to step 3:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we subtract 104 from 110, we get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 13

Going ahead to step 4:
When dividing 66 by 13, we get 5 with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 85.0
Subtracting 65 from 66 leaves us with 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 13

Moving on to step 5:
The number 13 fits into 18 1 times, leaving a remainder of 5.
The next digit of our result is 1. 
Result so far: 851.0
Subtract 13 from 18 to get 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 13

Going ahead to step 6:
13 goes into 56 4 times with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 8514.0
Subtracting 52 from 56 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.

Going ahead to step 7:
13 goes into 40 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 8514.3
Subtracting 39 from 40 leaves us 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.

Let's proceed to step 8:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 8514.3
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.

Going ahead to step 9:
When dividing 100 by 13, we get 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 8514.307
Subtract 91 from 100 to 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.

Going ahead to step 10:
13 goes into 90 6 times with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 8514.3076
Subtracting 78 from 90 leaves us 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 11:
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: 8514.30769
If we subtract 117 from 120, we 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.

Moving on to step 12:
13 goes into 30 2 times with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 8514.307692
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 13:
13 goes into 40 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 8514.3076923
Subtract 39 from 40 to 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.

Moving on to step 14:
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: 8514.3076923
Subtracting 0 from 10 leaves us 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.

The final result is 8514.3076923 with a remainder of 1e-08.