We're dividing 225543 by 45 
Our goal is to divide 225543 by 45.

Step 1:
The number 45 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 45

Let's proceed to step 2:
When dividing 22 by 45, we get 0 with a remainder of 22.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 22 leaves us with 22.
Include the next digit (5) from the dividend after 22, then repeat: 225 / 45

Let's proceed to step 3:
45 goes into 225 5 times with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 225 away from 225, we end up with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 45

Moving on to step 4:
The number 45 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 50.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 45

On to step 5:
45 can be fit into 54 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 501.0
If we subtract 45 from 54, we get 9.
Grab the next digit (3) from the dividend, add it to 9, then carry on: 93 / 45

Advancing to step 6:
45 can be fit into 93 2 times, resulting in a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 5012.0
Subtract 90 from 93 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
45 goes into 30 0 times with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 5012.0
If we take 0 away from 30, 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.

Let's proceed to step 8:
When dividing 300 by 45, we get 6 with a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 5012.06
The remainder is 30 after subtracting 270 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 9:
45 goes into 300 6 times with a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 5012.066
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.

After the division, we end up with 5012.066 and a remainder of 0.003.