We look at the division of 511089 by 66 
We want to divide 511089 by 66.

Step 1:
66 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 66

Advancing to step 2:
The number 66 fits into 51 0 times, leaving a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Grab the next digit (1) from the dividend, add it to 51, then carry on: 511 / 66

Moving on to step 3:
66 goes into 511 7 times with a remainder of 49.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 462 from 511 and we're left with 49.
Include the next digit (0) from the dividend after 49, then repeat: 490 / 66

Moving on to step 4:
If we divide 490 by 66, we get 7 and a remainder of 28.
Use 7 as the next digit of our solution. 
Result so far: 77.0
Subtracting 462 from 490 leaves us with 28.
Bring next digit (8) of the dividend behind the 28 and repeat the process: 288 / 66

On to step 5:
The number 66 fits into 288 4 times, leaving a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 774.0
Deduct 264 from 288 and we're left with 24.
Include the next digit (9) from the dividend after 24, then repeat: 249 / 66

Moving on to step 6:
66 goes into 249 3 times with a remainder of 51.
The number 3 becomes the next digit in our result. 
Result so far: 7743.0
Subtracting 198 from 249 leaves us 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.

Advancing to step 7:
If we divide 510 by 66, we get 7 and a remainder of 48.
Put 7 as the next digit of the answer. 
Result so far: 7743.7
Subtracting 462 from 510 leaves us 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.
Use 7 as the next digit of our solution. 
Result so far: 7743.77
The remainder is 18 after subtracting 462 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 7743.77 with a remainder of 0.018.