We look at the division of 509511 by 15 
We want to figure out the number of times 509511 can be divided by 15.

Step 1:
When dividing 5 by 15, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 15

Going ahead to step 2:
15 goes into 50 3 times with a remainder of 5.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 45 from 50 to get 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 15

Let's proceed to step 3:
59 divided by 15 is 3 with a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 33.0
If we take 45 away from 59, we end up with 14.
Fetch the next digit (5) from the dividend, attach it to 14 and continue: 145 / 15

Advancing to step 4:
15 goes into 145 9 times with a remainder of 10.
Record the quotient 9 as the next digit in the result. 
Result so far: 339.0
The remainder is 10 after subtracting 135 from 145.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 15

Let's proceed to step 5:
101 divided by 15 is 6 with a remainder of 11.
Put 6 as the next digit of the answer. 
Result so far: 3396.0
The remainder is 11 after subtracting 90 from 101.
Fetch the next digit (1) from the dividend, attach it to 11 and continue: 111 / 15

Step 6:
15 goes into 111 7 times with a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 33967.0
Subtract 105 from 111 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
When dividing 60 by 15, we get 4 with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 33967.4
If we subtract 60 from 60, 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.

On to step 8:
When dividing 0 by 15, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 33967.4
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
15 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 33967.4
If we take 0 away from 0, 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.

In conclusion, the division gives 33967.4 with a balance of 0.0.