668763 divided by 66 
Our goal is to divide 668763 by 66.

Let's proceed to step 1:
The number 66 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 66

On to step 2:
When dividing 66 by 66, we get 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 66 from 66, we get 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 66

Moving on to step 3:
When dividing 8 by 66, we get 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 66

Going ahead to step 4:
66 goes into 87 1 times with a remainder of 21.
The number 1 becomes the next digit in our result. 
Result so far: 101.0
Deduct 66 from 87 and we're left with 21.
Include the next digit (6) from the dividend after 21, then repeat: 216 / 66

Moving on to step 5:
If we divide 216 by 66, we get 3 and a remainder of 18.
The number 3 becomes the next digit in our result. 
Result so far: 1013.0
If we subtract 198 from 216, we get 18.
Fetch the next digit (3) from the dividend, attach it to 18 and continue: 183 / 66

Moving on to step 6:
66 goes into 183 2 times with a remainder of 51.
Write down 2 as next digit of the result. 
Result so far: 10132.0
If we subtract 132 from 183, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Going ahead to step 7:
When dividing 510 by 66, we get 7 with a remainder of 48.
Record the quotient 7 as the next digit in the result. 
Result so far: 10132.7
If we take 462 away from 510, 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.

Step 8:
66 can be fit into 480 7 times, resulting in a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 10132.77
Subtract 462 from 480 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 10132.77 with a balance of 0.018.