Let's divide 680688 by 81
We're looking to find how many times 81 goes into 680688.

Advancing to step 1:
81 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 81

Going ahead to step 2:
68 divided by 81 is 0 with a remainder of 68.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 68, we get 68.
Include the next digit (0) from the dividend after 68, then repeat: 680 / 81

Going ahead to step 3:
680 divided by 81 is 8 with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we take 648 away from 680, we end up with 32.
Grab the next digit (6) from the dividend, add it to 32, then carry on: 326 / 81

Advancing to step 4:
81 goes into 326 4 times with a remainder of 2.
The next digit of our result is 4. 
Result so far: 84.0
Deduct 324 from 326 and we're left with 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 81

Going ahead to step 5:
28 divided by 81 is 0 with a remainder of 28.
Write down 0 as next digit of the result. 
Result so far: 840.0
Subtracting 0 from 28 leaves us with 28.
Fetch the next digit (8) from the dividend, attach it to 28 and continue: 288 / 81

Moving on to step 6:
The number 81 fits into 288 3 times, leaving a remainder of 45.
The number 3 becomes the next digit in our result. 
Result so far: 8403.0
Deduct 243 from 288 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 7:
If we divide 450 by 81, we get 5 and a remainder of 45.
The number 5 becomes the next digit in our result. 
Result so far: 8403.5
If we subtract 405 from 450, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 8:
When dividing 450 by 81, we get 5 with a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 8403.55
Subtract 405 from 450 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The final result is 8403.55 with a remainder of 0.045.