We look at the division of 115253 by 13 
The aim is to understand the frequency of 13 in 115253.

Advancing to step 1:
1 divided by 13 is 0 with 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.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 13

Going ahead to step 2:
When dividing 11 by 13, we get 0 with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 13

On to step 3:
When dividing 115 by 13, we get 8 with a remainder of 11.
The next digit of our result is 8. 
Result so far: 8.0
If we take 104 away from 115, we end up with 11.
Bring next digit (2) of the dividend behind the 11 and repeat the process: 112 / 13

Advancing to step 4:
13 can be fit into 112 8 times, resulting in a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 88.0
Subtracting 104 from 112 leaves us with 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 13

Going ahead to step 5:
The number 13 fits into 85 6 times, leaving a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 886.0
If we take 78 away from 85, we end up with 7.
Include the next digit (3) from the dividend after 7, then repeat: 73 / 13

Let's proceed to step 6:
If we divide 73 by 13, we get 5 and a remainder of 8.
Use 5 as the next digit of our solution. 
Result so far: 8865.0
Subtract 65 from 73 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 7:
If we divide 80 by 13, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 8865.6
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.

Going ahead to step 8:
When dividing 20 by 13, we get 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 8865.61
Subtract 13 from 20 to 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.

Step 9:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 8865.615
If we subtract 65 from 70, we 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.

On to step 10:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 8865.6153
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.

Moving on to step 11:
13 goes into 110 8 times with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 8865.61538
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.

Let's proceed to step 12:
When dividing 60 by 13, we get 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 8865.615384
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.

Moving on to step 13:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 8865.6153846
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 14:
20 divided by 13 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 8865.61538461
Subtract 13 from 20 to 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.

Our division results in 8865.61538461 with a remaining 7e-09.