We're dividing 106204 by 13 
The aim is to understand the frequency of 13 in 106204.

Let's proceed to step 1:
1 divided by 13 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 13

Let's proceed to step 2:
When dividing 10 by 13, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 13

Advancing to step 3:
13 goes into 106 8 times with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtracting 104 from 106 leaves us with 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 13

Let's proceed to step 4:
13 goes into 22 1 times with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 81.0
If we subtract 13 from 22, we get 9.
Take the next digit (0) from the dividend and append it to 9, then repeat: 90 / 13

Moving on to step 5:
When dividing 90 by 13, we get 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 816.0
If we subtract 78 from 90, we get 12.
Grab the next digit (4) from the dividend, add it to 12, then carry on: 124 / 13

Moving on to step 6:
When dividing 124 by 13, we get 9 with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 8169.0
If we subtract 117 from 124, we 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.

Advancing to step 7:
70 divided by 13 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 8169.5
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
If we divide 50 by 13, we get 3 and a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 8169.53
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 9:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 8169.538
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 10:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 8169.5384
Subtract 52 from 60 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.

Going ahead to step 11:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 8169.53846
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 12:
20 divided by 13 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 8169.538461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 13:
70 divided by 13 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 8169.5384615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 14:
When dividing 50 by 13, we get 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 8169.53846153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The quotient of the division is 8169.53846153, and the remainder is 1.1e-08.