Let's divide 577185 by 66
We're looking to find how many times 66 goes into 577185.

Step 1:
5 divided by 66 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 66

Moving on to step 2:
If we divide 57 by 66, we get 0 and a remainder of 57.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 57 leaves us with 57.
Append the next digit (7) from the dividend to 57 and continue with: 577 / 66

Step 3:
66 goes into 577 8 times with a remainder of 49.
The next digit of our result is 8. 
Result so far: 8.0
If we take 528 away from 577, we end up with 49.
Bring next digit (1) of the dividend behind the 49 and repeat the process: 491 / 66

Step 4:
66 can be fit into 491 7 times, resulting in a remainder of 29.
Use 7 as the next digit of our solution. 
Result so far: 87.0
Deduct 462 from 491 and we're left with 29.
Include the next digit (8) from the dividend after 29, then repeat: 298 / 66

Step 5:
If we divide 298 by 66, we get 4 and a remainder of 34.
The number 4 becomes the next digit in our result. 
Result so far: 874.0
If we subtract 264 from 298, we get 34.
Take the next digit (5) from the dividend and append it to 34, then repeat: 345 / 66

Step 6:
The number 66 fits into 345 5 times, leaving a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 8745.0
Subtract 330 from 345 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 7:
When dividing 150 by 66, we get 2 with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 8745.2
The remainder is 18 after subtracting 132 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
180 divided by 66 is 2 with a remainder of 48.
The next digit of our result is 2. 
Result so far: 8745.22
If we subtract 132 from 180, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The quotient of the division is 8745.22, and the remainder is 0.048.