We're dividing 205406 by 13 
The aim is to understand the frequency of 13 in 205406.

Let's proceed to step 1:
When dividing 2 by 13, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 13

Step 2:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 7 after subtracting 13 from 20.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 13

Moving on to step 3:
75 divided by 13 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 15.0
The remainder is 10 after subtracting 65 from 75.
Append the next digit (4) from the dividend to 10 and continue with: 104 / 13

Step 4:
13 can be fit into 104 8 times, resulting in a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 158.0
Subtract 104 from 104 to get 0.
Grab the next digit (0) from the dividend, add it to 0, then carry on: 0 / 13

Let's proceed to step 5:
When dividing 0 by 13, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 1580.0
The remainder is 0 after subtracting 0 from 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 13

Moving on to step 6:
13 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 15800.0
Deduct 0 from 6 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.

Step 7:
If we divide 60 by 13, we get 4 and a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 15800.4
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.

On to step 8:
80 divided by 13 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 15800.46
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.

Moving on to step 9:
20 divided by 13 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 15800.461
Deduct 13 from 20 and we're left with 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 10:
When dividing 70 by 13, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 15800.4615
Subtract 65 from 70 to 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.

Step 11:
50 divided by 13 is 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 15800.46153
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.

Going ahead to step 12:
When dividing 110 by 13, we get 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 15800.461538
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 13:
13 goes into 60 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 15800.4615384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
80 divided by 13 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 15800.46153846
If we take 78 away from 80, we end up 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.

The quotient of the division is 15800.46153846, and the remainder is 2e-09.