821079 divided by 81 
We want to figure out the number of times 821079 can be divided by 81.

On to step 1:
81 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 81

Step 2:
If we divide 82 by 81, we get 1 and a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 81 from 82 to get 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 81

On to step 3:
81 goes into 11 0 times with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 11 to get 11.
Include the next digit (0) from the dividend after 11, then repeat: 110 / 81

Step 4:
If we divide 110 by 81, we get 1 and a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 101.0
Deduct 81 from 110 and we're left with 29.
Bring next digit (7) of the dividend behind the 29 and repeat the process: 297 / 81

Advancing to step 5:
If we divide 297 by 81, we get 3 and a remainder of 54.
The next digit of our result is 3. 
Result so far: 1013.0
If we subtract 243 from 297, we get 54.
Grab the next digit (9) from the dividend, add it to 54, then carry on: 549 / 81

On to step 6:
81 can be fit into 549 6 times, resulting in a remainder of 63.
The number 6 becomes the next digit in our result. 
Result so far: 10136.0
Subtracting 486 from 549 leaves us with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Moving on to step 7:
81 can be fit into 630 7 times, resulting in a remainder of 63.
The number 7 becomes the next digit in our result. 
Result so far: 10136.7
If we take 567 away from 630, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Moving on to step 8:
If we divide 630 by 81, we get 7 and a remainder of 63.
Write down 7 as next digit of the result. 
Result so far: 10136.77
Deduct 567 from 630 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

The final result is 10136.77 with a remainder of 0.063.