824684 ÷ 82 
Let's see how many times 82 fits into 824684.

Going ahead to step 1:
The number 82 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 82

Advancing to step 2:
The number 82 fits into 82 1 times, leaving a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 82 from 82, we get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 82

On to step 3:
82 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 82

Moving on to step 4:
46 divided by 82 is 0 with a remainder of 46.
Record the quotient 0 as the next digit in the result. 
Result so far: 100.0
The remainder is 46 after subtracting 0 from 46.
Take the next digit (8) from the dividend and append it to 46, then repeat: 468 / 82

Moving on to step 5:
82 goes into 468 5 times with a remainder of 58.
The next digit of our result is 5. 
Result so far: 1005.0
Subtracting 410 from 468 leaves us with 58.
Include the next digit (4) from the dividend after 58, then repeat: 584 / 82

Moving on to step 6:
82 goes into 584 7 times with a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 10057.0
Deduct 574 from 584 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
If we divide 100 by 82, we get 1 and a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 10057.1
The remainder is 18 after subtracting 82 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 8:
82 goes into 180 2 times with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 10057.12
The remainder is 16 after subtracting 164 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
82 goes into 160 1 times with a remainder of 78.
Write down 1 as next digit of the result. 
Result so far: 10057.121
If we subtract 82 from 160, we get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

On to step 10:
When dividing 780 by 82, we get 9 with a remainder of 42.
Write down 9 as next digit of the result. 
Result so far: 10057.1219
If we take 738 away from 780, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 11:
82 can be fit into 420 5 times, resulting in a remainder of 10.
The next digit of our result is 5. 
Result so far: 10057.12195
Deduct 410 from 420 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 12:
100 divided by 82 is 1 with a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 10057.121951
If we take 82 away from 100, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 13:
When dividing 180 by 82, we get 2 with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 10057.1219512
Subtract 164 from 180 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 14:
If we divide 160 by 82, we get 1 and a remainder of 78.
The next digit of our result is 1. 
Result so far: 10057.12195121
Subtracting 82 from 160 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

In conclusion, the division gives 10057.12195121 with a balance of 7.8e-08.