821295 divided by 82 
The aim is to understand the frequency of 82 in 821295.

Advancing to step 1:
82 can be fit into 8 0 times, resulting in a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 82

Step 2:
82 can be fit into 82 1 times, resulting in a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 82 away from 82, we end up with 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 82

Advancing to step 3:
1 divided by 82 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 10.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 82

Going ahead to step 4:
When dividing 12 by 82, we get 0 with a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 100.0
If we take 0 away from 12, we end up with 12.
Append the next digit (9) from the dividend to 12 and continue with: 129 / 82

Moving on to step 5:
When dividing 129 by 82, we get 1 with a remainder of 47.
Write down 1 as next digit of the result. 
Result so far: 1001.0
Subtract 82 from 129 to get 47.
Grab the next digit (5) from the dividend, add it to 47, then carry on: 475 / 82

Going ahead to step 6:
475 divided by 82 is 5 with a remainder of 65.
Write down 5 as next digit of the result. 
Result so far: 10015.0
If we subtract 410 from 475, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 7:
82 goes into 650 7 times with a remainder of 76.
Use 7 as the next digit of our solution. 
Result so far: 10015.7
If we subtract 574 from 650, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 8:
82 can be fit into 760 9 times, resulting in a remainder of 22.
The next digit of our result is 9. 
Result so far: 10015.79
Deduct 738 from 760 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 9:
82 can be fit into 220 2 times, resulting in a remainder of 56.
Use 2 as the next digit of our solution. 
Result so far: 10015.792
Subtracting 164 from 220 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 10:
The number 82 fits into 560 6 times, leaving a remainder of 68.
The next digit of our result is 6. 
Result so far: 10015.7926
Deduct 492 from 560 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 11:
When dividing 680 by 82, we get 8 with a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 10015.79268
Subtracting 656 from 680 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 12:
82 can be fit into 240 2 times, resulting in a remainder of 76.
Use 2 as the next digit of our solution. 
Result so far: 10015.792682
If we take 164 away from 240, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 13:
82 can be fit into 760 9 times, resulting in a remainder of 22.
Use 9 as the next digit of our solution. 
Result so far: 10015.7926829
Deduct 738 from 760 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 14:
220 divided by 82 is 2 with a remainder of 56.
Record the quotient 2 as the next digit in the result. 
Result so far: 10015.79268292
If we take 164 away from 220, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

After the division, we end up with 10015.79268292 and a remainder of 5.6e-08.