We divide 475508 by 66
We want to figure out the number of times 475508 can be divided by 66.

On to step 1:
If we divide 4 by 66, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 66

On to step 2:
When dividing 47 by 66, we get 0 with a remainder of 47.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 47 after subtracting 0 from 47.
Grab the next digit (5) from the dividend, add it to 47, then carry on: 475 / 66

On to step 3:
The number 66 fits into 475 7 times, leaving a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtracting 462 from 475 leaves us with 13.
Include the next digit (5) from the dividend after 13, then repeat: 135 / 66

Advancing to step 4:
When dividing 135 by 66, we get 2 with a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 72.0
The remainder is 3 after subtracting 132 from 135.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 66

On to step 5:
The number 66 fits into 30 0 times, leaving a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 720.0
If we subtract 0 from 30, we get 30.
Include the next digit (8) from the dividend after 30, then repeat: 308 / 66

Going ahead to step 6:
If we divide 308 by 66, we get 4 and a remainder of 44.
Put 4 as the next digit of the answer. 
Result so far: 7204.0
The remainder is 44 after subtracting 264 from 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 7:
If we divide 440 by 66, we get 6 and a remainder of 44.
The next digit of our result is 6. 
Result so far: 7204.6
Subtracting 396 from 440 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 8:
If we divide 440 by 66, we get 6 and a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 7204.66
Subtract 396 from 440 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

The quotient of the division is 7204.66, and the remainder is 0.044.