Let's divide 509760 by 45
Our goal is to divide 509760 by 45.

Step 1:
5 divided by 45 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 45

Moving on to step 2:
45 goes into 50 1 times with a remainder of 5.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 45 from 50, we get 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 45

On to step 3:
45 can be fit into 59 1 times, resulting in a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we subtract 45 from 59, we get 14.
Grab the next digit (7) from the dividend, add it to 14, then carry on: 147 / 45

Step 4:
When dividing 147 by 45, we get 3 with a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 113.0
If we subtract 135 from 147, we get 12.
Fetch the next digit (6) from the dividend, attach it to 12 and continue: 126 / 45

Step 5:
The number 45 fits into 126 2 times, leaving a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 1132.0
Subtracting 90 from 126 leaves us with 36.
Append the next digit (0) from the dividend to 36 and continue with: 360 / 45

Moving on to step 6:
The number 45 fits into 360 8 times, leaving a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 11328.0
If we take 360 away from 360, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
If we divide 0 by 45, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 11328.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
45 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 11328.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 11328.0 with a balance of 0.0.