Let's divide 136852 by 13
The aim is to understand the frequency of 13 in 136852.

Going ahead to step 1:
When dividing 1 by 13, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 13

Moving on to step 2:
When dividing 13 by 13, we get 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 13 from 13 leaves us with 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 13

Let's proceed to step 3:
If we divide 6 by 13, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 6, we end up with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 13

Let's proceed to step 4:
When dividing 68 by 13, we get 5 with a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
If we subtract 65 from 68, we get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 13

Advancing to step 5:
When dividing 35 by 13, we get 2 with a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 1052.0
The remainder is 9 after subtracting 26 from 35.
Fetch the next digit (2) from the dividend, attach it to 9 and continue: 92 / 13

Going ahead to step 6:
When dividing 92 by 13, we get 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 10527.0
Subtract 91 from 92 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 7:
If we divide 10 by 13, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 10527.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 10527.07
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.

Step 9:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 10527.076
The remainder is 12 after subtracting 78 from 90.
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 10:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 10527.0769
Deduct 117 from 120 and we're left 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.

On to step 11:
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: 10527.07692
Deduct 26 from 30 and we're left 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 12:
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: 10527.076923
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.

Step 13:
10 divided by 13 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 10527.076923
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.

Let's proceed to step 14:
If we divide 100 by 13, we get 7 and a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 10527.07692307
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.

Our division results in 10527.07692307 with a remaining 9e-09.