565627 ÷ 82 
The aim is to understand the frequency of 82 in 565627.

Advancing to step 1:
When dividing 5 by 82, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 82

Let's proceed to step 2:
The number 82 fits into 56 0 times, leaving a remainder of 56.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 56, we get 56.
Include the next digit (5) from the dividend after 56, then repeat: 565 / 82

Step 3:
If we divide 565 by 82, we get 6 and a remainder of 73.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 492 from 565 to get 73.
Include the next digit (6) from the dividend after 73, then repeat: 736 / 82

Step 4:
82 can be fit into 736 8 times, resulting in a remainder of 80.
Put 8 as the next digit of the answer. 
Result so far: 68.0
Subtracting 656 from 736 leaves us with 80.
Grab the next digit (2) from the dividend, add it to 80, then carry on: 802 / 82

Let's proceed to step 5:
802 divided by 82 is 9 with a remainder of 64.
The next digit of our result is 9. 
Result so far: 689.0
Deduct 738 from 802 and we're left with 64.
Take the next digit (7) from the dividend and append it to 64, then repeat: 647 / 82

On to step 6:
If we divide 647 by 82, we get 7 and a remainder of 73.
The next digit of our result is 7. 
Result so far: 6897.0
The remainder is 73 after subtracting 574 from 647.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Advancing to step 7:
If we divide 730 by 82, we get 8 and a remainder of 74.
Put 8 as the next digit of the answer. 
Result so far: 6897.8
If we subtract 656 from 730, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 8:
The number 82 fits into 740 9 times, leaving a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 6897.89
If we subtract 738 from 740, we get 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 9:
If we divide 20 by 82, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 6897.89
Deduct 0 from 20 and we're left with 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 10:
82 goes into 200 2 times with a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 6897.8902
Deduct 164 from 200 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 11:
82 can be fit into 360 4 times, resulting in a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 6897.89024
If we take 328 away from 360, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 12:
82 goes into 320 3 times with a remainder of 74.
Put 3 as the next digit of the answer. 
Result so far: 6897.890243
Subtracting 246 from 320 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on to step 13:
The number 82 fits into 740 9 times, leaving a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 6897.8902439
The remainder is 2 after subtracting 738 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 14:
82 goes into 20 0 times with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 6897.8902439
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 6897.8902439 with a remaining 2e-08.