768629 ÷ 81 
We want to divide 768629 by 81.

Advancing to step 1:
81 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 81

On to step 2:
The number 81 fits into 76 0 times, leaving a remainder of 76.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 76 leaves us with 76.
Fetch the next digit (8) from the dividend, attach it to 76 and continue: 768 / 81

On to step 3:
81 can be fit into 768 9 times, resulting in a remainder of 39.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 729 away from 768, we end up with 39.
Include the next digit (6) from the dividend after 39, then repeat: 396 / 81

Going ahead to step 4:
If we divide 396 by 81, we get 4 and a remainder of 72.
Record the quotient 4 as the next digit in the result. 
Result so far: 94.0
The remainder is 72 after subtracting 324 from 396.
Bring next digit (2) of the dividend behind the 72 and repeat the process: 722 / 81

Moving on to step 5:
81 goes into 722 8 times with a remainder of 74.
The number 8 becomes the next digit in our result. 
Result so far: 948.0
If we take 648 away from 722, we end up with 74.
Take the next digit (9) from the dividend and append it to 74, then repeat: 749 / 81

Going ahead to step 6:
81 goes into 749 9 times with a remainder of 20.
Put 9 as the next digit of the answer. 
Result so far: 9489.0
Subtract 729 from 749 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
When dividing 200 by 81, we get 2 with a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 9489.2
Subtracting 162 from 200 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 8:
380 divided by 81 is 4 with a remainder of 56.
The next digit of our result is 4. 
Result so far: 9489.24
The remainder is 56 after subtracting 324 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 9:
560 divided by 81 is 6 with a remainder of 74.
The next digit of our result is 6. 
Result so far: 9489.246
Deduct 486 from 560 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Going ahead to step 10:
When dividing 740 by 81, we get 9 with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 9489.2469
Deduct 729 from 740 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 11:
When dividing 110 by 81, we get 1 with a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 9489.24691
Subtract 81 from 110 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 12:
The number 81 fits into 290 3 times, leaving a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 9489.246913
The remainder is 47 after subtracting 243 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 13:
81 goes into 470 5 times with a remainder of 65.
The next digit of our result is 5. 
Result so far: 9489.2469135
The remainder is 65 after subtracting 405 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 14:
650 divided by 81 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 9489.24691358
Deduct 648 from 650 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 9489.24691358 with a remainder of 2e-09.