We look at the division of 563908 by 65 
The aim is to understand the frequency of 65 in 563908.

Advancing to step 1:
5 divided by 65 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 65

Step 2:
65 goes into 56 0 times with a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 56 to get 56.
Fetch the next digit (3) from the dividend, attach it to 56 and continue: 563 / 65

On to step 3:
When dividing 563 by 65, we get 8 with a remainder of 43.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 520 from 563 leaves us with 43.
Fetch the next digit (9) from the dividend, attach it to 43 and continue: 439 / 65

On to step 4:
If we divide 439 by 65, we get 6 and a remainder of 49.
Record the quotient 6 as the next digit in the result. 
Result so far: 86.0
The remainder is 49 after subtracting 390 from 439.
Include the next digit (0) from the dividend after 49, then repeat: 490 / 65

Going ahead to step 5:
65 can be fit into 490 7 times, resulting in a remainder of 35.
The next digit of our result is 7. 
Result so far: 867.0
If we take 455 away from 490, we end up with 35.
Bring next digit (8) of the dividend behind the 35 and repeat the process: 358 / 65

Moving on to step 6:
If we divide 358 by 65, we get 5 and a remainder of 33.
The next digit of our result is 5. 
Result so far: 8675.0
If we subtract 325 from 358, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
When dividing 330 by 65, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 8675.5
Deduct 325 from 330 and we're left 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.

Advancing to step 8:
When dividing 50 by 65, we get 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 8675.5
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 9:
65 can be fit into 500 7 times, resulting in a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 8675.507
If we subtract 455 from 500, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 10:
If we divide 450 by 65, we get 6 and a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 8675.5076
The remainder is 60 after subtracting 390 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 11:
If we divide 600 by 65, we get 9 and a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 8675.50769
Deduct 585 from 600 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 12:
150 divided by 65 is 2 with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 8675.507692
Subtract 130 from 150 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 13:
65 goes into 200 3 times with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 8675.5076923
If we subtract 195 from 200, 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.

Let's proceed to step 14:
50 divided by 65 is 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 8675.5076923
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Our division results in 8675.5076923 with a remaining 5e-08.