We look at the division of 800668 by 82 
We're looking to find how many times 82 goes into 800668.

Advancing to step 1:
8 divided by 82 is 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 82

Advancing to step 2:
80 divided by 82 is 0 with a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 80, we end up with 80.
Take the next digit (0) from the dividend and append it to 80, then repeat: 800 / 82

Advancing to step 3:
When dividing 800 by 82, we get 9 with a remainder of 62.
Put 9 as the next digit of the answer. 
Result so far: 9.0
If we take 738 away from 800, we end up with 62.
Grab the next digit (6) from the dividend, add it to 62, then carry on: 626 / 82

Step 4:
82 can be fit into 626 7 times, resulting in a remainder of 52.
The number 7 becomes the next digit in our result. 
Result so far: 97.0
Subtracting 574 from 626 leaves us with 52.
Fetch the next digit (6) from the dividend, attach it to 52 and continue: 526 / 82

Let's proceed to step 5:
526 divided by 82 is 6 with a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 976.0
Subtract 492 from 526 to get 34.
Append the next digit (8) from the dividend to 34 and continue with: 348 / 82

Advancing to step 6:
348 divided by 82 is 4 with a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 9764.0
The remainder is 20 after subtracting 328 from 348.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 7:
200 divided by 82 is 2 with a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 9764.2
If we subtract 164 from 200, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 8:
The number 82 fits into 360 4 times, leaving a remainder of 32.
The next digit of our result is 4. 
Result so far: 9764.24
Subtracting 328 from 360 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 9:
If we divide 320 by 82, we get 3 and a remainder of 74.
Put 3 as the next digit of the answer. 
Result so far: 9764.243
If we take 246 away from 320, we end up with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on to step 10:
When dividing 740 by 82, we get 9 with a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 9764.2439
Deduct 738 from 740 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 11:
20 divided by 82 is 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 9764.2439
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 12:
If we divide 200 by 82, we get 2 and a remainder of 36.
The next digit of our result is 2. 
Result so far: 9764.243902
Deduct 164 from 200 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 13:
82 goes into 360 4 times with a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 9764.2439024
Subtract 328 from 360 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 14:
When dividing 320 by 82, we get 3 with a remainder of 74.
Record the quotient 3 as the next digit in the result. 
Result so far: 9764.24390243
Subtract 246 from 320 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

The final outcome is 9764.24390243, with a leftover of 7.4e-08.