We're dividing 535963 by 45 
Our goal is to divide 535963 by 45.

Let's proceed to step 1:
45 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 45

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.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we take 45 away from 85, we end up with 40.
Bring next digit (9) of the dividend behind the 40 and repeat the process: 409 / 45

On to step 4:
409 divided by 45 is 9 with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 119.0
Subtracting 405 from 409 leaves us with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 45

Going ahead to step 5:
The number 45 fits into 46 1 times, leaving a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1191.0
If we take 45 away from 46, we end up with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 45

Advancing to step 6:
45 can be fit into 13 0 times, resulting in a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 11910.0
Subtracting 0 from 13 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
If we divide 130 by 45, we get 2 and a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 11910.2
Subtracting 90 from 130 leaves us 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.

Step 8:
400 divided by 45 is 8 with a remainder of 40.
The next digit of our result is 8. 
Result so far: 11910.28
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.

Going ahead to step 9:
When dividing 400 by 45, we get 8 with a remainder of 40.
Write down 8 as next digit of the result. 
Result so far: 11910.288
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.

The final outcome is 11910.288, with a leftover of 0.004.