Let's divide 512079 by 66
We want to divide 512079 by 66.

Moving on to step 1:
66 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 66

Moving on to step 2:
66 can be fit into 51 0 times, resulting in a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Fetch the next digit (2) from the dividend, attach it to 51 and continue: 512 / 66

On to step 3:
The number 66 fits into 512 7 times, leaving a remainder of 50.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 462 away from 512, we end up with 50.
Append the next digit (0) from the dividend to 50 and continue with: 500 / 66

Moving on to step 4:
When dividing 500 by 66, we get 7 with a remainder of 38.
The number 7 becomes the next digit in our result. 
Result so far: 77.0
Subtract 462 from 500 to get 38.
Bring next digit (7) of the dividend behind the 38 and repeat the process: 387 / 66

Let's proceed to step 5:
When dividing 387 by 66, we get 5 with a remainder of 57.
The next digit of our result is 5. 
Result so far: 775.0
If we take 330 away from 387, we end up with 57.
Bring next digit (9) of the dividend behind the 57 and repeat the process: 579 / 66

Going ahead to step 6:
66 goes into 579 8 times with a remainder of 51.
Use 8 as the next digit of our solution. 
Result so far: 7758.0
If we take 528 away from 579, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 7:
510 divided by 66 is 7 with a remainder of 48.
Record the quotient 7 as the next digit in the result. 
Result so far: 7758.7
Deduct 462 from 510 and we're left 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.

Advancing to step 8:
The number 66 fits into 480 7 times, leaving a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 7758.77
Deduct 462 from 480 and we're left with 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 7758.77 with a balance of 0.018.