We're dividing 76766 by 81 
We're looking to find how many times 81 goes into 76766.

Advancing to step 1:
If we divide 7 by 81, we get 0 and a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 81

Advancing to step 2:
81 can be fit into 76 0 times, resulting in a remainder of 76.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 76 and we're left with 76.
Fetch the next digit (7) from the dividend, attach it to 76 and continue: 767 / 81

Advancing to step 3:
The number 81 fits into 767 9 times, leaving a remainder of 38.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we subtract 729 from 767, we get 38.
Take the next digit (6) from the dividend and append it to 38, then repeat: 386 / 81

Step 4:
If we divide 386 by 81, we get 4 and a remainder of 62.
The next digit of our result is 4. 
Result so far: 94.0
Subtracting 324 from 386 leaves us with 62.
Bring next digit (6) of the dividend behind the 62 and repeat the process: 626 / 81

Advancing to step 5:
When dividing 626 by 81, we get 7 with a remainder of 59.
Use 7 as the next digit of our solution. 
Result so far: 947.0
The remainder is 59 after subtracting 567 from 626.
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 6:
If we divide 590 by 81, we get 7 and a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 947.7
The remainder is 23 after subtracting 567 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 7:
The number 81 fits into 230 2 times, leaving a remainder of 68.
The number 2 becomes the next digit in our result. 
Result so far: 947.72
Subtract 162 from 230 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 8:
680 divided by 81 is 8 with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 947.728
The remainder is 32 after subtracting 648 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 9:
81 can be fit into 320 3 times, resulting in a remainder of 77.
Record the quotient 3 as the next digit in the result. 
Result so far: 947.7283
If we subtract 243 from 320, we get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Advancing to step 10:
The number 81 fits into 770 9 times, leaving a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 947.72839
Subtracting 729 from 770 leaves us 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 11:
81 goes into 410 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 947.728395
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.

Going ahead to step 12:
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: 947.728395
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 13:
If we divide 500 by 81, we get 6 and a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 947.72839506
Deduct 486 from 500 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 947.72839506 and a remainder of 1.4e-08.