Let's divide 565532 by 45
Our goal is to divide 565532 by 45.

Step 1:
45 can be fit into 5 0 times, resulting in 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.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 45

On to step 2:
45 goes into 56 1 times with a remainder of 11.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 45 from 56 to get 11.
Grab the next digit (5) from the dividend, add it to 11, then carry on: 115 / 45

Step 3:
The number 45 fits into 115 2 times, leaving a remainder of 25.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we take 90 away from 115, we end up with 25.
Append the next digit (5) from the dividend to 25 and continue with: 255 / 45

Advancing to step 4:
45 can be fit into 255 5 times, resulting in a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 125.0
The remainder is 30 after subtracting 225 from 255.
Grab the next digit (3) from the dividend, add it to 30, then carry on: 303 / 45

Advancing to step 5:
45 goes into 303 6 times with a remainder of 33.
The number 6 becomes the next digit in our result. 
Result so far: 1256.0
Subtract 270 from 303 to get 33.
Bring next digit (2) of the dividend behind the 33 and repeat the process: 332 / 45

Step 6:
If we divide 332 by 45, we get 7 and a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 12567.0
Subtract 315 from 332 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 7:
The number 45 fits into 170 3 times, leaving a remainder of 35.
Put 3 as the next digit of the answer. 
Result so far: 12567.3
If we subtract 135 from 170, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
The number 45 fits into 350 7 times, leaving a remainder of 35.
The next digit of our result is 7. 
Result so far: 12567.37
If we subtract 315 from 350, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 9:
When dividing 350 by 45, we get 7 with a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 12567.377
Deduct 315 from 350 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final result is 12567.377 with a remainder of 0.0035.