413539 divided by 13 
The aim is to understand the frequency of 13 in 413539.

Advancing to step 1:
When dividing 4 by 13, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 13

Going ahead to step 2:
13 goes into 41 3 times with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 39 from 41 leaves us with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 13

Step 3:
13 goes into 23 1 times with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 31.0
Deduct 13 from 23 and we're left with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 13

Step 4:
The number 13 fits into 105 8 times, leaving a remainder of 1.
The next digit of our result is 8. 
Result so far: 318.0
If we subtract 104 from 105, we get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 13

On to step 5:
13 divided by 13 is 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 3181.0
If we take 13 away from 13, we end up with 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 13

Advancing to step 6:
The number 13 fits into 9 0 times, leaving a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 31810.0
Subtract 0 from 9 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.

On to step 7:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 31810.6
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.

Step 8:
When dividing 120 by 13, we get 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 31810.69
If we take 117 away from 120, we end up 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.

Going ahead to step 9:
30 divided by 13 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 31810.692
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
13 goes into 40 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 31810.6923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 11:
If we divide 10 by 13, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 31810.6923
If we take 0 away from 10, we end up 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.

Step 12:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 31810.692307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 13:
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: 31810.6923076
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.

Moving on to step 14:
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: 31810.69230769
Subtract 117 from 120 to 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.

The final outcome is 31810.69230769, with a leftover of 3e-09.