We look at the division of 710681 by 81 
We're looking to find how many times 81 goes into 710681.

Step 1:
81 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 81

Advancing to step 2:
81 can be fit into 71 0 times, resulting in a remainder of 71.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 71 leaves us with 71.
Grab the next digit (0) from the dividend, add it to 71, then carry on: 710 / 81

Advancing to step 3:
When dividing 710 by 81, we get 8 with a remainder of 62.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 648 from 710 to get 62.
Include the next digit (6) from the dividend after 62, then repeat: 626 / 81

Step 4:
The number 81 fits into 626 7 times, leaving a remainder of 59.
Put 7 as the next digit of the answer. 
Result so far: 87.0
If we take 567 away from 626, we end up with 59.
Grab the next digit (8) from the dividend, add it to 59, then carry on: 598 / 81

Moving on to step 5:
598 divided by 81 is 7 with a remainder of 31.
Record the quotient 7 as the next digit in the result. 
Result so far: 877.0
If we take 567 away from 598, we end up with 31.
Bring next digit (1) of the dividend behind the 31 and repeat the process: 311 / 81

Let's proceed to step 6:
81 can be fit into 311 3 times, resulting in a remainder of 68.
The next digit of our result is 3. 
Result so far: 8773.0
Subtract 243 from 311 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 7:
81 goes into 680 8 times with a remainder of 32.
The next digit of our result is 8. 
Result so far: 8773.8
Subtracting 648 from 680 leaves us 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.

Advancing to step 8:
81 goes into 320 3 times with a remainder of 77.
The number 3 becomes the next digit in our result. 
Result so far: 8773.83
If we take 243 away from 320, we end up 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.

Going ahead to step 9:
The number 81 fits into 770 9 times, leaving a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 8773.839
If we take 729 away from 770, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 10:
81 can be fit into 410 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 8773.8395
Deduct 405 from 410 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 11:
50 divided by 81 is 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 8773.8395
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.

Advancing to step 12:
81 can be fit into 500 6 times, resulting in a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 8773.839506
If we subtract 486 from 500, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 13:
81 goes into 140 1 times with a remainder of 59.
The number 1 becomes the next digit in our result. 
Result so far: 8773.8395061
Deduct 81 from 140 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 14:
590 divided by 81 is 7 with a remainder of 23.
The next digit of our result is 7. 
Result so far: 8773.83950617
Subtracting 567 from 590 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

The quotient of the division is 8773.83950617, and the remainder is 2.3e-08.