We're dividing 510475 by 66 
We want to figure out the number of times 510475 can be divided by 66.

Moving on to step 1:
66 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 66

Step 2:
51 divided by 66 is 0 with a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Bring next digit (0) of the dividend behind the 51 and repeat the process: 510 / 66

Moving on to step 3:
510 divided by 66 is 7 with a remainder of 48.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 462 from 510, we get 48.
Grab the next digit (4) from the dividend, add it to 48, then carry on: 484 / 66

Going ahead to step 4:
66 can be fit into 484 7 times, resulting in a remainder of 22.
The number 7 becomes the next digit in our result. 
Result so far: 77.0
If we subtract 462 from 484, we get 22.
Bring next digit (7) of the dividend behind the 22 and repeat the process: 227 / 66

Going ahead to step 5:
66 can be fit into 227 3 times, resulting in a remainder of 29.
Use 3 as the next digit of our solution. 
Result so far: 773.0
If we take 198 away from 227, we end up with 29.
Include the next digit (5) from the dividend after 29, then repeat: 295 / 66

Moving on to step 6:
66 can be fit into 295 4 times, resulting in a remainder of 31.
The number 4 becomes the next digit in our result. 
Result so far: 7734.0
If we take 264 away from 295, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 7:
66 can be fit into 310 4 times, resulting in a remainder of 46.
Record the quotient 4 as the next digit in the result. 
Result so far: 7734.4
The remainder is 46 after subtracting 264 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 8:
66 can be fit into 460 6 times, resulting in a remainder of 64.
The next digit of our result is 6. 
Result so far: 7734.46
Subtracting 396 from 460 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 9:
640 divided by 66 is 9 with a remainder of 46.
Put 9 as the next digit of the answer. 
Result so far: 7734.469
Subtract 594 from 640 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 10:
66 can be fit into 460 6 times, resulting in a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 7734.4696
If we subtract 396 from 460, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 11:
The number 66 fits into 640 9 times, leaving a remainder of 46.
Write down 9 as next digit of the result. 
Result so far: 7734.46969
Subtracting 594 from 640 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 12:
When dividing 460 by 66, we get 6 with a remainder of 64.
The number 6 becomes the next digit in our result. 
Result so far: 7734.469696
Subtract 396 from 460 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 13:
The number 66 fits into 640 9 times, leaving a remainder of 46.
Record the quotient 9 as the next digit in the result. 
Result so far: 7734.4696969
The remainder is 46 after subtracting 594 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 14:
If we divide 460 by 66, we get 6 and a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 7734.46969696
Deduct 396 from 460 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

In conclusion, the division gives 7734.46969696 with a balance of 6.4e-08.