688396 divided by 81 
Our goal is to divide 688396 by 81.

Step 1:
81 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 81

Advancing to step 2:
81 goes into 68 0 times with a remainder of 68.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 68 leaves us with 68.
Fetch the next digit (8) from the dividend, attach it to 68 and continue: 688 / 81

Moving on to step 3:
688 divided by 81 is 8 with a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 648 from 688 leaves us with 40.
Grab the next digit (3) from the dividend, add it to 40, then carry on: 403 / 81

On to step 4:
The number 81 fits into 403 4 times, leaving a remainder of 79.
Write down 4 as next digit of the result. 
Result so far: 84.0
If we subtract 324 from 403, we get 79.
Grab the next digit (9) from the dividend, add it to 79, then carry on: 799 / 81

Step 5:
81 can be fit into 799 9 times, resulting in a remainder of 70.
Write down 9 as next digit of the result. 
Result so far: 849.0
Subtract 729 from 799 to get 70.
Fetch the next digit (6) from the dividend, attach it to 70 and continue: 706 / 81

Moving on to step 6:
The number 81 fits into 706 8 times, leaving a remainder of 58.
Record the quotient 8 as the next digit in the result. 
Result so far: 8498.0
Subtracting 648 from 706 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.

Let's proceed to step 7:
If we divide 580 by 81, we get 7 and a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 8498.7
The remainder is 13 after subtracting 567 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 8:
The number 81 fits into 130 1 times, leaving a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 8498.71
If we subtract 81 from 130, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 9:
81 goes into 490 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 8498.716
If we subtract 486 from 490, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
40 divided by 81 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 8498.716
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 11:
The number 81 fits into 400 4 times, leaving a remainder of 76.
Use 4 as the next digit of our solution. 
Result so far: 8498.71604
Deduct 324 from 400 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 12:
If we divide 760 by 81, we get 9 and a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 8498.716049
Subtracting 729 from 760 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 13:
81 can be fit into 310 3 times, resulting in a remainder of 67.
Use 3 as the next digit of our solution. 
Result so far: 8498.7160493
Subtract 243 from 310 to get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 14:
The number 81 fits into 670 8 times, leaving a remainder of 22.
The next digit of our result is 8. 
Result so far: 8498.71604938
Subtracting 648 from 670 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

In conclusion, the division gives 8498.71604938 with a balance of 2.2e-08.