564605 divided by 13 
The aim is to understand the frequency of 13 in 564605.

Advancing to step 1:
The number 13 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 13

On to step 2:
The number 13 fits into 56 4 times, leaving a remainder of 4.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 52 from 56 leaves us with 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 13

On to step 3:
If we divide 44 by 13, we get 3 and a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 43.0
Subtracting 39 from 44 leaves us with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 13

Advancing to step 4:
56 divided by 13 is 4 with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 434.0
Subtract 52 from 56 to get 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 13

Step 5:
13 goes into 40 3 times with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 4343.0
Subtract 39 from 40 to get 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 13

On to step 6:
If we divide 15 by 13, we get 1 and a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 43431.0
Deduct 13 from 15 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.

Step 7:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 43431.1
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 8:
70 divided by 13 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 43431.15
Subtracting 65 from 70 leaves us 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.

Going ahead to step 9:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 43431.153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 10:
110 divided by 13 is 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 43431.1538
Subtracting 104 from 110 leaves us 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 11:
When dividing 60 by 13, we get 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 43431.15384
Subtracting 52 from 60 leaves us 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.

Going ahead to step 12:
80 divided by 13 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 43431.153846
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 13:
13 goes into 20 1 times with a remainder of 7.
The next digit of our result is 1. 
Result so far: 43431.1538461
Subtract 13 from 20 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.

Step 14:
When dividing 70 by 13, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 43431.15384615
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.

In conclusion, the division gives 43431.15384615 with a balance of 5e-09.