We look at the division of 5503605 by 636 
Our goal is to divide 5503605 by 636.

Advancing to step 1:
The number 636 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 636

Step 2:
55 divided by 636 is 0 with a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 55 leaves us with 55.
Append the next digit (0) from the dividend to 55 and continue with: 550 / 636

Let's proceed to step 3:
The number 636 fits into 550 0 times, leaving a remainder of 550.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 550, we get 550.
Fetch the next digit (3) from the dividend, attach it to 550 and continue: 5503 / 636

Going ahead to step 4:
The number 636 fits into 5503 8 times, leaving a remainder of 415.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 5088 from 5503 and we're left with 415.
Append the next digit (6) from the dividend to 415 and continue with: 4156 / 636

Advancing to step 5:
4156 divided by 636 is 6 with a remainder of 340.
Record the quotient 6 as the next digit in the result. 
Result so far: 86.0
Deduct 3816 from 4156 and we're left with 340.
Include the next digit (0) from the dividend after 340, then repeat: 3400 / 636

Let's proceed to step 6:
636 goes into 3400 5 times with a remainder of 220.
Write down 5 as next digit of the result. 
Result so far: 865.0
Subtract 3180 from 3400 to get 220.
Grab the next digit (5) from the dividend, add it to 220, then carry on: 2205 / 636

On to step 7:
If we divide 2205 by 636, we get 3 and a remainder of 297.
The number 3 becomes the next digit in our result. 
Result so far: 8653.0
Subtract 1908 from 2205 to get 297.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2970, and continue the process.

Step 8:
The number 636 fits into 2970 4 times, leaving a remainder of 426.
Use 4 as the next digit of our solution. 
Result so far: 8653.4
Subtract 2544 from 2970 to get 426.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4260, and continue the process.

Going ahead to step 9:
636 goes into 4260 6 times with a remainder of 444.
The number 6 becomes the next digit in our result. 
Result so far: 8653.46
Subtract 3816 from 4260 to get 444.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4440, and continue the process.

On to step 10:
When dividing 4440 by 636, we get 6 with a remainder of 624.
The next digit of our result is 6. 
Result so far: 8653.466
If we subtract 3816 from 4440, we get 624.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6240, and continue the process.

The final result is 8653.466 with a remainder of 0.0624.