We look at the division of 569043 by 13 
The aim is to understand the frequency of 13 in 569043.

Going ahead to step 1:
The number 13 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 13

Let's proceed to step 2:
13 goes into 56 4 times with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 52 from 56 to get 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 13

Let's proceed to step 3:
13 can be fit into 49 3 times, resulting in a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 43.0
Subtract 39 from 49 to get 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 13

Let's proceed to step 4:
13 goes into 100 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 437.0
The remainder is 9 after subtracting 91 from 100.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 13

Going ahead to step 5:
When dividing 94 by 13, we get 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 4377.0
Subtract 91 from 94 to get 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 13

On to step 6:
The number 13 fits into 33 2 times, leaving a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 43772.0
Subtract 26 from 33 to 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.

Going ahead to step 7:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 43772.5
If we subtract 65 from 70, we 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.

Advancing to step 8:
13 goes into 50 3 times with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 43772.53
Subtracting 39 from 50 leaves us with 11.
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 9:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 43772.538
If we take 104 away from 110, we end up 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.
The number 4 becomes the next digit in our result. 
Result so far: 43772.5384
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
80 divided by 13 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 43772.53846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 12:
When dividing 20 by 13, we get 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 43772.538461
If we take 13 away from 20, we end up 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.

Let's proceed to step 13:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 43772.5384615
If we take 65 away from 70, we end up 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.

On to step 14:
If we divide 50 by 13, we get 3 and a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 43772.53846153
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Our division results in 43772.53846153 with a remaining 1.1e-08.