681723 divided by 82 
We want to figure out the number of times 681723 can be divided by 82.

Advancing to step 1:
When dividing 6 by 82, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 82

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
Deduct 0 from 68 and we're left with 68.
Grab the next digit (1) from the dividend, add it to 68, then carry on: 681 / 82

Advancing to step 3:
82 can be fit into 681 8 times, resulting in a remainder of 25.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtracting 656 from 681 leaves us with 25.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 82

Let's proceed to step 4:
257 divided by 82 is 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 83.0
Subtract 246 from 257 to get 11.
Include the next digit (2) from the dividend after 11, then repeat: 112 / 82

Moving on to step 5:
When dividing 112 by 82, we get 1 with a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 831.0
The remainder is 30 after subtracting 82 from 112.
Fetch the next digit (3) from the dividend, attach it to 30 and continue: 303 / 82

Advancing to step 6:
303 divided by 82 is 3 with a remainder of 57.
The next digit of our result is 3. 
Result so far: 8313.0
If we subtract 246 from 303, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 7:
The number 82 fits into 570 6 times, leaving a remainder of 78.
Put 6 as the next digit of the answer. 
Result so far: 8313.6
Deduct 492 from 570 and we're left 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.

On to step 8:
82 can be fit into 780 9 times, resulting in a remainder of 42.
The next digit of our result is 9. 
Result so far: 8313.69
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.

On to step 9:
420 divided by 82 is 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 8313.695
The remainder is 10 after subtracting 410 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
When dividing 100 by 82, we get 1 with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 8313.6951
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.

Step 11:
82 can be fit into 180 2 times, resulting in a remainder of 16.
The next digit of our result is 2. 
Result so far: 8313.69512
If we subtract 164 from 180, we 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.

Moving on to step 12:
82 can be fit into 160 1 times, resulting in a remainder of 78.
Put 1 as the next digit of the answer. 
Result so far: 8313.695121
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.

Advancing to step 13:
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: 8313.6951219
If we subtract 738 from 780, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 14:
The number 82 fits into 420 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 8313.69512195
The remainder is 10 after subtracting 410 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 8313.69512195 with a balance of 1e-08.