636627 ÷ 66 
Our goal is to divide 636627 by 66.

Advancing to step 1:
When dividing 6 by 66, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 66

Step 2:
63 divided by 66 is 0 with a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 63 leaves us with 63.
Include the next digit (6) from the dividend after 63, then repeat: 636 / 66

Advancing to step 3:
If we divide 636 by 66, we get 9 and a remainder of 42.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we subtract 594 from 636, we get 42.
Bring next digit (6) of the dividend behind the 42 and repeat the process: 426 / 66

On to step 4:
426 divided by 66 is 6 with a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 96.0
Subtracting 396 from 426 leaves us with 30.
Grab the next digit (2) from the dividend, add it to 30, then carry on: 302 / 66

Let's proceed to step 5:
302 divided by 66 is 4 with a remainder of 38.
Write down 4 as next digit of the result. 
Result so far: 964.0
Subtract 264 from 302 to get 38.
Append the next digit (7) from the dividend to 38 and continue with: 387 / 66

Advancing to step 6:
If we divide 387 by 66, we get 5 and a remainder of 57.
Use 5 as the next digit of our solution. 
Result so far: 9645.0
Deduct 330 from 387 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Going ahead to step 7:
570 divided by 66 is 8 with a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 9645.8
Subtracting 528 from 570 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 8:
If we divide 420 by 66, we get 6 and a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 9645.86
Subtract 396 from 420 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 9:
66 can be fit into 240 3 times, resulting in a remainder of 42.
The next digit of our result is 3. 
Result so far: 9645.863
The remainder is 42 after subtracting 198 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 10:
420 divided by 66 is 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 9645.8636
The remainder is 24 after subtracting 396 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 11:
When dividing 240 by 66, we get 3 with a remainder of 42.
Write down 3 as next digit of the result. 
Result so far: 9645.86363
Subtract 198 from 240 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 12:
420 divided by 66 is 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 9645.863636
If we take 396 away from 420, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 13:
If we divide 240 by 66, we get 3 and a remainder of 42.
Put 3 as the next digit of the answer. 
Result so far: 9645.8636363
Subtract 198 from 240 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 14:
If we divide 420 by 66, we get 6 and a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 9645.86363636
If we subtract 396 from 420, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final result is 9645.86363636 with a remainder of 2.4e-08.