We look at the division of 509511 by 16 
We're looking to find how many times 16 goes into 509511.

Advancing to step 1:
5 divided by 16 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 16

Moving on to step 2:
16 can be fit into 50 3 times, resulting in a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 2 after subtracting 48 from 50.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 16

Advancing to step 3:
If we divide 29 by 16, we get 1 and a remainder of 13.
The next digit of our result is 1. 
Result so far: 31.0
If we take 16 away from 29, we end up with 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 16

Moving on to step 4:
16 goes into 135 8 times with a remainder of 7.
Record the quotient 8 as the next digit in the result. 
Result so far: 318.0
If we subtract 128 from 135, we get 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 16

Going ahead to step 5:
The number 16 fits into 71 4 times, leaving a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 3184.0
Subtracting 64 from 71 leaves us with 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 16

Advancing to step 6:
16 goes into 71 4 times with a remainder of 7.
The number 4 becomes the next digit in our result. 
Result so far: 31844.0
If we take 64 away from 71, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
If we divide 70 by 16, we get 4 and a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 31844.4
Deduct 64 from 70 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
The number 16 fits into 60 3 times, leaving a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 31844.43
The remainder is 12 after subtracting 48 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
The number 16 fits into 120 7 times, leaving a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 31844.437
The remainder is 8 after subtracting 112 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 31844.4375
If we subtract 80 from 80, 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.

Step 11:
16 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 31844.4375
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.

Advancing to step 12:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 31844.4375
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.

The final result is 31844.4375 with a remainder of 0.0.