Let's divide 680578 by 81
We're looking to find how many times 81 goes into 680578.

On to step 1:
6 divided by 81 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 81

Step 2:
The number 81 fits into 68 0 times, leaving a remainder of 68.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 68 to get 68.
Grab the next digit (0) from the dividend, add it to 68, then carry on: 680 / 81

Going ahead to step 3:
81 can be fit into 680 8 times, resulting in a remainder of 32.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 648 from 680 and we're left with 32.
Grab the next digit (5) from the dividend, add it to 32, then carry on: 325 / 81

On to step 4:
If we divide 325 by 81, we get 4 and a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 84.0
If we take 324 away from 325, we end up with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 81

Step 5:
17 divided by 81 is 0 with a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 840.0
If we take 0 away from 17, we end up with 17.
Bring next digit (8) of the dividend behind the 17 and repeat the process: 178 / 81

Going ahead to step 6:
81 goes into 178 2 times with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 8402.0
Deduct 162 from 178 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 7:
81 goes into 160 1 times with a remainder of 79.
Write down 1 as next digit of the result. 
Result so far: 8402.1
If we take 81 away from 160, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

On to step 8:
790 divided by 81 is 9 with a remainder of 61.
Write down 9 as next digit of the result. 
Result so far: 8402.19
Deduct 729 from 790 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 9:
The number 81 fits into 610 7 times, leaving a remainder of 43.
Put 7 as the next digit of the answer. 
Result so far: 8402.197
If we take 567 away from 610, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 10:
81 can be fit into 430 5 times, resulting in a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 8402.1975
If we subtract 405 from 430, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 11:
81 goes into 250 3 times with a remainder of 7.
The next digit of our result is 3. 
Result so far: 8402.19753
The remainder is 7 after subtracting 243 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 12:
The number 81 fits into 70 0 times, leaving a remainder of 70.
The next digit of our result is 0. 
Result so far: 8402.19753
If we subtract 0 from 70, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 13:
If we divide 700 by 81, we get 8 and a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 8402.1975308
Subtract 648 from 700 to get 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 14:
520 divided by 81 is 6 with a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 8402.19753086
The remainder is 34 after subtracting 486 from 520.
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 result is 8402.19753086 with a remainder of 3.4e-08.