We're dividing 762817 by 66 
We're looking to find how many times 66 goes into 762817.

Going ahead to step 1:
The number 66 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 66

Let's proceed to step 2:
66 goes into 76 1 times with a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 66 from 76 leaves us with 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 66

Going ahead to step 3:
66 can be fit into 102 1 times, resulting in a remainder of 36.
The next digit of our result is 1. 
Result so far: 11.0
Subtract 66 from 102 to get 36.
Bring next digit (8) of the dividend behind the 36 and repeat the process: 368 / 66

On to step 4:
66 can be fit into 368 5 times, resulting in a remainder of 38.
The number 5 becomes the next digit in our result. 
Result so far: 115.0
Subtracting 330 from 368 leaves us with 38.
Bring next digit (1) of the dividend behind the 38 and repeat the process: 381 / 66

Let's proceed to step 5:
66 goes into 381 5 times with a remainder of 51.
Use 5 as the next digit of our solution. 
Result so far: 1155.0
Subtracting 330 from 381 leaves us with 51.
Grab the next digit (7) from the dividend, add it to 51, then carry on: 517 / 66

Let's proceed to step 6:
66 goes into 517 7 times with a remainder of 55.
The number 7 becomes the next digit in our result. 
Result so far: 11557.0
Subtract 462 from 517 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 7:
If we divide 550 by 66, we get 8 and a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 11557.8
Subtract 528 from 550 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
66 can be fit into 220 3 times, resulting in a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 11557.83
If we take 198 away from 220, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 9:
The number 66 fits into 220 3 times, leaving a remainder of 22.
The number 3 becomes the next digit in our result. 
Result so far: 11557.833
If we subtract 198 from 220, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Our division results in 11557.833 with a remaining 0.0022.