We look at the division of 766875 by 81 
Our goal is to divide 766875 by 81.

Step 1:
If we divide 7 by 81, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 81

Going ahead to step 2:
The number 81 fits into 76 0 times, leaving a remainder of 76.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 76, we end up with 76.
Bring next digit (6) of the dividend behind the 76 and repeat the process: 766 / 81

On to step 3:
766 divided by 81 is 9 with a remainder of 37.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtracting 729 from 766 leaves us with 37.
Include the next digit (8) from the dividend after 37, then repeat: 378 / 81

On to step 4:
The number 81 fits into 378 4 times, leaving a remainder of 54.
Write down 4 as next digit of the result. 
Result so far: 94.0
Subtracting 324 from 378 leaves us with 54.
Take the next digit (7) from the dividend and append it to 54, then repeat: 547 / 81

Step 5:
When dividing 547 by 81, we get 6 with a remainder of 61.
Record the quotient 6 as the next digit in the result. 
Result so far: 946.0
The remainder is 61 after subtracting 486 from 547.
Grab the next digit (5) from the dividend, add it to 61, then carry on: 615 / 81

Moving on to step 6:
If we divide 615 by 81, we get 7 and a remainder of 48.
The number 7 becomes the next digit in our result. 
Result so far: 9467.0
Subtract 567 from 615 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 7:
81 can be fit into 480 5 times, resulting in a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 9467.5
Subtract 405 from 480 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Let's proceed to step 8:
If we divide 750 by 81, we get 9 and a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 9467.59
The remainder is 21 after subtracting 729 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 9:
When dividing 210 by 81, we get 2 with a remainder of 48.
Use 2 as the next digit of our solution. 
Result so far: 9467.592
If we take 162 away from 210, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 10:
The number 81 fits into 480 5 times, leaving a remainder of 75.
The next digit of our result is 5. 
Result so far: 9467.5925
Deduct 405 from 480 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 11:
If we divide 750 by 81, we get 9 and a remainder of 21.
The next digit of our result is 9. 
Result so far: 9467.59259
The remainder is 21 after subtracting 729 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 12:
81 can be fit into 210 2 times, resulting in a remainder of 48.
Use 2 as the next digit of our solution. 
Result so far: 9467.592592
The remainder is 48 after subtracting 162 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 13:
If we divide 480 by 81, we get 5 and a remainder of 75.
Write down 5 as next digit of the result. 
Result so far: 9467.5925925
Subtract 405 from 480 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 14:
When dividing 750 by 81, we get 9 with a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 9467.59259259
If we take 729 away from 750, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The quotient of the division is 9467.59259259, and the remainder is 2.1e-08.