683771 divided by 82 
We want to figure out the number of times 683771 can be divided by 82.

Advancing to step 1:
If we divide 6 by 82, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 82

Advancing to step 2:
68 divided by 82 is 0 with a remainder of 68.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 68, we get 68.
Include the next digit (3) from the dividend after 68, then repeat: 683 / 82

Going ahead to step 3:
If we divide 683 by 82, we get 8 and a remainder of 27.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 27 after subtracting 656 from 683.
Include the next digit (7) from the dividend after 27, then repeat: 277 / 82

Step 4:
82 goes into 277 3 times with a remainder of 31.
Put 3 as the next digit of the answer. 
Result so far: 83.0
Subtracting 246 from 277 leaves us with 31.
Take the next digit (7) from the dividend and append it to 31, then repeat: 317 / 82

Going ahead to step 5:
82 goes into 317 3 times with a remainder of 71.
The next digit of our result is 3. 
Result so far: 833.0
Deduct 246 from 317 and we're left with 71.
Append the next digit (1) from the dividend to 71 and continue with: 711 / 82

Let's proceed to step 6:
82 can be fit into 711 8 times, resulting in a remainder of 55.
Record the quotient 8 as the next digit in the result. 
Result so far: 8338.0
If we subtract 656 from 711, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 7:
82 goes into 550 6 times with a remainder of 58.
Use 6 as the next digit of our solution. 
Result so far: 8338.6
Subtracting 492 from 550 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 8:
82 can be fit into 580 7 times, resulting in a remainder of 6.
The next digit of our result is 7. 
Result so far: 8338.67
If we take 574 away from 580, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 9:
When dividing 60 by 82, we get 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 8338.67
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 10:
82 goes into 600 7 times with a remainder of 26.
Write down 7 as next digit of the result. 
Result so far: 8338.6707
If we subtract 574 from 600, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 11:
When dividing 260 by 82, we get 3 with a remainder of 14.
Write down 3 as next digit of the result. 
Result so far: 8338.67073
The remainder is 14 after subtracting 246 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 12:
82 can be fit into 140 1 times, resulting in a remainder of 58.
The next digit of our result is 1. 
Result so far: 8338.670731
If we take 82 away from 140, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 13:
82 goes into 580 7 times with a remainder of 6.
The next digit of our result is 7. 
Result so far: 8338.6707317
The remainder is 6 after subtracting 574 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 14:
When dividing 60 by 82, we get 0 with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 8338.6707317
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

In conclusion, the division gives 8338.6707317 with a balance of 6e-08.