91630569 ÷ 565 
The aim is to understand the frequency of 565 in 91630569.

Advancing to step 1:
9 divided by 565 is 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 565

Moving on to step 2:
91 divided by 565 is 0 with a remainder of 91.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 91 to get 91.
Include the next digit (6) from the dividend after 91, then repeat: 916 / 565

On to step 3:
When dividing 916 by 565, we get 1 with a remainder of 351.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 565 away from 916, we end up with 351.
Take the next digit (3) from the dividend and append it to 351, then repeat: 3513 / 565

Advancing to step 4:
If we divide 3513 by 565, we get 6 and a remainder of 123.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
If we subtract 3390 from 3513, we get 123.
Include the next digit (0) from the dividend after 123, then repeat: 1230 / 565

Going ahead to step 5:
565 can be fit into 1230 2 times, resulting in a remainder of 100.
Write down 2 as next digit of the result. 
Result so far: 162.0
Deduct 1130 from 1230 and we're left with 100.
Grab the next digit (5) from the dividend, add it to 100, then carry on: 1005 / 565

Going ahead to step 6:
565 can be fit into 1005 1 times, resulting in a remainder of 440.
Use 1 as the next digit of our solution. 
Result so far: 1621.0
Subtract 565 from 1005 to get 440.
Fetch the next digit (6) from the dividend, attach it to 440 and continue: 4406 / 565

Let's proceed to step 7:
The number 565 fits into 4406 7 times, leaving a remainder of 451.
The next digit of our result is 7. 
Result so far: 16217.0
If we subtract 3955 from 4406, we get 451.
Bring next digit (9) of the dividend behind the 451 and repeat the process: 4519 / 565

Step 8:
565 goes into 4519 7 times with a remainder of 564.
Record the quotient 7 as the next digit in the result. 
Result so far: 162177.0
Deduct 3955 from 4519 and we're left with 564.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5640, and continue the process.

Moving on to step 9:
If we divide 5640 by 565, we get 9 and a remainder of 555.
Record the quotient 9 as the next digit in the result. 
Result so far: 162177.9
Subtracting 5085 from 5640 leaves us with 555.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5550, and continue the process.

Moving on to step 10:
When dividing 5550 by 565, we get 9 with a remainder of 465.
Record the quotient 9 as the next digit in the result. 
Result so far: 162177.99
The remainder is 465 after subtracting 5085 from 5550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4650, and continue the process.

The final result is 162177.99 with a remainder of 0.465.