635316 divided by 66 
Our goal is to divide 635316 by 66.

Step 1:
66 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 66

On to step 2:
66 goes into 63 0 times with a remainder of 63.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 63 after subtracting 0 from 63.
Fetch the next digit (5) from the dividend, attach it to 63 and continue: 635 / 66

On to step 3:
635 divided by 66 is 9 with a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Deduct 594 from 635 and we're left with 41.
Grab the next digit (3) from the dividend, add it to 41, then carry on: 413 / 66

Let's proceed to step 4:
The number 66 fits into 413 6 times, leaving a remainder of 17.
Record the quotient 6 as the next digit in the result. 
Result so far: 96.0
The remainder is 17 after subtracting 396 from 413.
Include the next digit (1) from the dividend after 17, then repeat: 171 / 66

Step 5:
66 can be fit into 171 2 times, resulting in a remainder of 39.
Put 2 as the next digit of the answer. 
Result so far: 962.0
Deduct 132 from 171 and we're left with 39.
Include the next digit (6) from the dividend after 39, then repeat: 396 / 66

Advancing to step 6:
396 divided by 66 is 6 with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 9626.0
Subtract 396 from 396 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
0 divided by 66 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 9626.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
The number 66 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 9626.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 9626.0 and a remainder of 0.0.