We're dividing 682688 by 82 
We want to figure out the number of times 682688 can be divided by 82.

Step 1:
82 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 82

Advancing to step 2:
The number 82 fits into 68 0 times, leaving a remainder of 68.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 68 to get 68.
Append the next digit (2) from the dividend to 68 and continue with: 682 / 82

Going ahead to step 3:
682 divided by 82 is 8 with a remainder of 26.
The next digit of our result is 8. 
Result so far: 8.0
Subtract 656 from 682 to get 26.
Bring next digit (6) of the dividend behind the 26 and repeat the process: 266 / 82

Going ahead to step 4:
82 can be fit into 266 3 times, resulting in a remainder of 20.
The next digit of our result is 3. 
Result so far: 83.0
Subtract 246 from 266 to get 20.
Include the next digit (8) from the dividend after 20, then repeat: 208 / 82

Step 5:
If we divide 208 by 82, we get 2 and a remainder of 44.
The next digit of our result is 2. 
Result so far: 832.0
Deduct 164 from 208 and we're left with 44.
Append the next digit (8) from the dividend to 44 and continue with: 448 / 82

Going ahead to step 6:
82 goes into 448 5 times with a remainder of 38.
The next digit of our result is 5. 
Result so far: 8325.0
If we take 410 away from 448, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 7:
380 divided by 82 is 4 with a remainder of 52.
Write down 4 as next digit of the result. 
Result so far: 8325.4
If we take 328 away from 380, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 8:
82 goes into 520 6 times with a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 8325.46
Subtract 492 from 520 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 9:
280 divided by 82 is 3 with a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 8325.463
If we subtract 246 from 280, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 10:
82 goes into 340 4 times with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 8325.4634
The remainder is 12 after subtracting 328 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 11:
120 divided by 82 is 1 with a remainder of 38.
Write down 1 as next digit of the result. 
Result so far: 8325.46341
The remainder is 38 after subtracting 82 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 12:
82 goes into 380 4 times with a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 8325.463414
Deduct 328 from 380 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 13:
If we divide 520 by 82, we get 6 and a remainder of 28.
The number 6 becomes the next digit in our result. 
Result so far: 8325.4634146
If we take 492 away from 520, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 14:
The number 82 fits into 280 3 times, leaving a remainder of 34.
The next digit of our result is 3. 
Result so far: 8325.46341463
Deduct 246 from 280 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final outcome is 8325.46341463, with a leftover of 3.4e-08.