We're dividing 635007 by 66 
We're looking to find how many times 66 goes into 635007.

Step 1:
The number 66 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 66

Advancing to step 2:
If we divide 63 by 66, we get 0 and a remainder of 63.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 63 after subtracting 0 from 63.
Append the next digit (5) from the dividend to 63 and continue with: 635 / 66

On to step 3:
When dividing 635 by 66, we get 9 with a remainder of 41.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtract 594 from 635 to get 41.
Take the next digit (0) from the dividend and append it to 41, then repeat: 410 / 66

Going ahead to step 4:
When dividing 410 by 66, we get 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 96.0
Subtracting 396 from 410 leaves us with 14.
Append the next digit (0) from the dividend to 14 and continue with: 140 / 66

Step 5:
The number 66 fits into 140 2 times, leaving a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 962.0
The remainder is 8 after subtracting 132 from 140.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 66

Step 6:
66 goes into 87 1 times with a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 9621.0
If we subtract 66 from 87, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 7:
If we divide 210 by 66, we get 3 and a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 9621.3
Subtracting 198 from 210 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
66 goes into 120 1 times with a remainder of 54.
Put 1 as the next digit of the answer. 
Result so far: 9621.31
If we take 66 away from 120, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 9:
540 divided by 66 is 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 9621.318
If we subtract 528 from 540, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
If we divide 120 by 66, we get 1 and a remainder of 54.
The number 1 becomes the next digit in our result. 
Result so far: 9621.3181
Subtracting 66 from 120 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 11:
66 goes into 540 8 times with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 9621.31818
If we subtract 528 from 540, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 12:
120 divided by 66 is 1 with a remainder of 54.
Put 1 as the next digit of the answer. 
Result so far: 9621.318181
If we subtract 66 from 120, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 13:
If we divide 540 by 66, we get 8 and a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 9621.3181818
If we subtract 528 from 540, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 14:
If we divide 120 by 66, we get 1 and a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 9621.31818181
If we take 66 away from 120, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The quotient of the division is 9621.31818181, and the remainder is 5.4e-08.