We look at the division of 535565 by 45 
We're looking to find how many times 45 goes into 535565.

Going ahead to step 1:
45 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 45

Going ahead to step 2:
45 goes into 53 1 times with a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 45 away from 53, we end up with 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 45

On to step 3:
The number 45 fits into 85 1 times, leaving a remainder of 40.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we subtract 45 from 85, we get 40.
Bring next digit (5) of the dividend behind the 40 and repeat the process: 405 / 45

Moving on to step 4:
45 goes into 405 9 times with a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 119.0
Subtracting 405 from 405 leaves us with 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 45

Step 5:
When dividing 6 by 45, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 1190.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 45

On to step 6:
If we divide 65 by 45, we get 1 and a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 11901.0
Deduct 45 from 65 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 7:
45 can be fit into 200 4 times, resulting in a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 11901.4
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
200 divided by 45 is 4 with a remainder of 20.
The next digit of our result is 4. 
Result so far: 11901.44
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 11901.44 with a remaining 0.02.