569611 ÷ 13 
The aim is to understand the frequency of 13 in 569611.

Moving on to step 1:
13 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 13

Going ahead to step 2:
56 divided by 13 is 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 52 from 56, we get 4.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 13

Going ahead to step 3:
The number 13 fits into 49 3 times, leaving a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 43.0
If we take 39 away from 49, we end up with 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 13

Advancing to step 4:
When dividing 106 by 13, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 438.0
If we subtract 104 from 106, we get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 13

Step 5:
13 can be fit into 21 1 times, resulting in a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 4381.0
Subtracting 13 from 21 leaves us with 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 13

Going ahead to step 6:
81 divided by 13 is 6 with a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 43816.0
If we subtract 78 from 81, we 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 7:
13 goes into 30 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 43816.2
Subtracting 26 from 30 leaves us 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.

Let's proceed to step 8:
When dividing 40 by 13, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 43816.23
If we take 39 away from 40, we end up 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.

On to step 9:
10 divided by 13 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 43816.23
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.

Advancing to step 10:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 43816.2307
If we take 91 away from 100, we end up with 9.
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 11:
If we divide 90 by 13, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 43816.23076
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.

Going ahead to step 12:
13 goes into 120 9 times with a remainder of 3.
The next digit of our result is 9. 
Result so far: 43816.230769
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.

Step 13:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 43816.2307692
The remainder is 4 after subtracting 26 from 30.
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 14:
When dividing 40 by 13, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 43816.23076923
Deduct 39 from 40 and we're left 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.

The final outcome is 43816.23076923, with a leftover of 1e-09.