We're dividing 550686 by 45 
We're looking to find how many times 45 goes into 550686.

On to step 1:
When dividing 5 by 45, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 45

Advancing to step 2:
45 can be fit into 55 1 times, resulting in a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 45 away from 55, we end up with 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 45

Going ahead to step 3:
If we divide 100 by 45, we get 2 and a remainder of 10.
The next digit of our result is 2. 
Result so far: 12.0
If we take 90 away from 100, we end up with 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 45

Advancing to step 4:
106 divided by 45 is 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 122.0
If we subtract 90 from 106, we get 16.
Fetch the next digit (8) from the dividend, attach it to 16 and continue: 168 / 45

Moving on to step 5:
168 divided by 45 is 3 with a remainder of 33.
Use 3 as the next digit of our solution. 
Result so far: 1223.0
If we take 135 away from 168, we end up with 33.
Fetch the next digit (6) from the dividend, attach it to 33 and continue: 336 / 45

Going ahead to step 6:
If we divide 336 by 45, we get 7 and a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 12237.0
If we subtract 315 from 336, 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:
45 goes into 210 4 times with a remainder of 30.
The next digit of our result is 4. 
Result so far: 12237.4
If we subtract 180 from 210, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
45 goes into 300 6 times with a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 12237.46
Deduct 270 from 300 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
The number 45 fits into 300 6 times, leaving a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 12237.466
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 12237.466 and a remainder of 0.003.