We look at the division of 820557 by 82 
We're looking to find how many times 82 goes into 820557.

Going ahead to step 1:
8 divided by 82 is 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 82

Moving on to step 2:
If we divide 82 by 82, we get 1 and a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 82 away from 82, we end up with 0.
Take the next digit (0) from the dividend and append it to 0, then repeat: 0 / 82

Going ahead to step 3:
82 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 0, we end up with 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 82

On to step 4:
5 divided by 82 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 100.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 82

Moving on to step 5:
82 goes into 55 0 times with a remainder of 55.
The next digit of our result is 0. 
Result so far: 1000.0
If we take 0 away from 55, we end up with 55.
Append the next digit (7) from the dividend to 55 and continue with: 557 / 82

Going ahead to step 6:
82 can be fit into 557 6 times, resulting in a remainder of 65.
Use 6 as the next digit of our solution. 
Result so far: 10006.0
Subtract 492 from 557 to 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.
The next digit of our result is 7. 
Result so far: 10006.7
Subtracting 574 from 650 leaves us 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.

Let's proceed to step 8:
82 can be fit into 760 9 times, resulting in a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 10006.79
Subtracting 738 from 760 leaves us 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.

Step 9:
The number 82 fits into 220 2 times, leaving a remainder of 56.
Put 2 as the next digit of the answer. 
Result so far: 10006.792
Subtract 164 from 220 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 10:
The number 82 fits into 560 6 times, leaving a remainder of 68.
Use 6 as the next digit of our solution. 
Result so far: 10006.7926
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.

Moving on to step 11:
82 can be fit into 680 8 times, resulting in a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 10006.79268
If we take 656 away from 680, we end up 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.

Advancing to step 12:
82 goes into 240 2 times with a remainder of 76.
Put 2 as the next digit of the answer. 
Result so far: 10006.792682
Subtracting 164 from 240 leaves us 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.

Going ahead to step 13:
The number 82 fits into 760 9 times, leaving a remainder of 22.
The next digit of our result is 9. 
Result so far: 10006.7926829
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:
82 can be fit into 220 2 times, resulting in a remainder of 56.
The number 2 becomes the next digit in our result. 
Result so far: 10006.79268292
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.

The final outcome is 10006.79268292, with a leftover of 5.6e-08.