We look at the division of 507550 by 45 
We're looking to find how many times 45 goes into 507550.

Going ahead to step 1:
5 divided by 45 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 45

Let's proceed to step 2:
When dividing 50 by 45, we get 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 45 away from 50, we end up with 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 45

Going ahead to step 3:
45 can be fit into 57 1 times, resulting in a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we subtract 45 from 57, we get 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 45

Let's proceed to step 4:
When dividing 125 by 45, we get 2 with a remainder of 35.
Use 2 as the next digit of our solution. 
Result so far: 112.0
Subtract 90 from 125 to get 35.
Append the next digit (5) from the dividend to 35 and continue with: 355 / 45

Moving on to step 5:
45 goes into 355 7 times with a remainder of 40.
The number 7 becomes the next digit in our result. 
Result so far: 1127.0
If we take 315 away from 355, we end up with 40.
Grab the next digit (0) from the dividend, add it to 40, then carry on: 400 / 45

On to step 6:
If we divide 400 by 45, we get 8 and a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 11278.0
If we take 360 away from 400, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 7:
When dividing 400 by 45, we get 8 with a remainder of 40.
The next digit of our result is 8. 
Result so far: 11278.8
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
When dividing 400 by 45, we get 8 with a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 11278.88
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The quotient of the division is 11278.88, and the remainder is 0.04.