565165 divided by 52 
The aim is to understand the frequency of 52 in 565165.

Let's proceed to step 1:
When dividing 5 by 52, 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.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 52

Let's proceed to step 2:
The number 52 fits into 56 1 times, leaving a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 52 away from 56, we end up with 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 52

On to step 3:
52 goes into 45 0 times with a remainder of 45.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtract 0 from 45 to get 45.
Bring next digit (1) of the dividend behind the 45 and repeat the process: 451 / 52

Moving on to step 4:
The number 52 fits into 451 8 times, leaving a remainder of 35.
The number 8 becomes the next digit in our result. 
Result so far: 108.0
If we subtract 416 from 451, we get 35.
Take the next digit (6) from the dividend and append it to 35, then repeat: 356 / 52

Step 5:
When dividing 356 by 52, we get 6 with a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 1086.0
The remainder is 44 after subtracting 312 from 356.
Grab the next digit (5) from the dividend, add it to 44, then carry on: 445 / 52

Moving on to step 6:
52 goes into 445 8 times with a remainder of 29.
Write down 8 as next digit of the result. 
Result so far: 10868.0
If we take 416 away from 445, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 7:
The number 52 fits into 290 5 times, leaving a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 10868.5
Deduct 260 from 290 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
52 can be fit into 300 5 times, resulting in a remainder of 40.
The next digit of our result is 5. 
Result so far: 10868.55
Subtract 260 from 300 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 10868.55 with a remainder of 0.04.