We look at the division of 567005 by 13 
The aim is to understand the frequency of 13 in 567005.

Moving on to step 1:
When dividing 5 by 13, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 13

Advancing to step 2:
When dividing 56 by 13, we get 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 52 away from 56, we end up with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 13

Going ahead to step 3:
When dividing 47 by 13, we get 3 with a remainder of 8.
The next digit of our result is 3. 
Result so far: 43.0
Deduct 39 from 47 and we're left with 8.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 13

Advancing to step 4:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The next digit of our result is 6. 
Result so far: 436.0
Subtract 78 from 80 to get 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 13

Going ahead to step 5:
13 can be fit into 20 1 times, resulting in a remainder of 7.
The next digit of our result is 1. 
Result so far: 4361.0
If we subtract 13 from 20, we get 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 13

Step 6:
13 goes into 75 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 43615.0
Subtracting 65 from 75 leaves us 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.

Going ahead to step 7:
13 goes into 100 7 times with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 43615.7
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.

Let's proceed to step 8:
13 goes into 90 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 43615.76
If we take 78 away from 90, we end up 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.

Let's proceed to step 9:
120 divided by 13 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 43615.769
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.

Moving on to step 10:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 43615.7692
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.

On to step 11:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 43615.76923
Subtracting 39 from 40 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 12:
When dividing 10 by 13, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 43615.76923
Subtracting 0 from 10 leaves us 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.

Moving on to step 13:
13 goes into 100 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 43615.7692307
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.

Going ahead to step 14:
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: 43615.76923076
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 43615.76923076 with a remainder of 1.2e-08.