Let's divide 680603 by 81
We want to figure out the number of times 680603 can be divided by 81.

Step 1:
6 divided by 81 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 81

On 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.
Include the next digit (0) from the dividend after 68, then repeat: 680 / 81

On to step 3:
When dividing 680 by 81, we get 8 with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 648 from 680 leaves us with 32.
Take the next digit (6) from the dividend and append it to 32, then repeat: 326 / 81

Let's proceed to step 4:
The number 81 fits into 326 4 times, leaving a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 84.0
If we subtract 324 from 326, we get 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 81

Advancing to step 5:
81 can be fit into 20 0 times, resulting in a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 840.0
The remainder is 20 after subtracting 0 from 20.
Take the next digit (3) from the dividend and append it to 20, then repeat: 203 / 81

Moving on to step 6:
81 goes into 203 2 times with a remainder of 41.
Put 2 as the next digit of the answer. 
Result so far: 8402.0
The remainder is 41 after subtracting 162 from 203.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 7:
81 goes into 410 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 8402.5
Subtract 405 from 410 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
If we divide 50 by 81, we get 0 and a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 8402.5
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 9:
The number 81 fits into 500 6 times, leaving a remainder of 14.
The next digit of our result is 6. 
Result so far: 8402.506
The remainder is 14 after subtracting 486 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 10:
When dividing 140 by 81, we get 1 with a remainder of 59.
Use 1 as the next digit of our solution. 
Result so far: 8402.5061
Subtract 81 from 140 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Advancing to step 11:
The number 81 fits into 590 7 times, leaving a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 8402.50617
If we subtract 567 from 590, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 12:
81 goes into 230 2 times with a remainder of 68.
The number 2 becomes the next digit in our result. 
Result so far: 8402.506172
Deduct 162 from 230 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 13:
81 can be fit into 680 8 times, resulting in a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 8402.5061728
Deduct 648 from 680 and we're left 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.

Let's proceed to step 14:
320 divided by 81 is 3 with a remainder of 77.
The next digit of our result is 3. 
Result so far: 8402.50617283
Subtracting 243 from 320 leaves us with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

The final result is 8402.50617283 with a remainder of 7.7e-08.