We're dividing 303565 by 45 
We're looking to find how many times 45 goes into 303565.

Moving on to step 1:
If we divide 3 by 45, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 45

Let's proceed to step 2:
If we divide 30 by 45, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 30 after subtracting 0 from 30.
Include the next digit (3) from the dividend after 30, then repeat: 303 / 45

Going ahead to step 3:
If we divide 303 by 45, we get 6 and a remainder of 33.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 270 from 303 leaves us with 33.
Grab the next digit (5) from the dividend, add it to 33, then carry on: 335 / 45

Moving on to step 4:
45 can be fit into 335 7 times, resulting in a remainder of 20.
Write down 7 as next digit of the result. 
Result so far: 67.0
Subtracting 315 from 335 leaves us with 20.
Fetch the next digit (6) from the dividend, attach it to 20 and continue: 206 / 45

Step 5:
If we divide 206 by 45, we get 4 and a remainder of 26.
The next digit of our result is 4. 
Result so far: 674.0
Subtracting 180 from 206 leaves us with 26.
Grab the next digit (5) from the dividend, add it to 26, then carry on: 265 / 45

On to step 6:
45 goes into 265 5 times with a remainder of 40.
Write down 5 as next digit of the result. 
Result so far: 6745.0
If we subtract 225 from 265, we get 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 7:
400 divided by 45 is 8 with a remainder of 40.
The next digit of our result is 8. 
Result so far: 6745.8
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
45 goes into 400 8 times with a remainder of 40.
The next digit of our result is 8. 
Result so far: 6745.88
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Our division results in 6745.88 with a remaining 0.04.