We look at the division of 508911 by 17 
Our goal is to divide 508911 by 17.

On to step 1:
5 divided by 17 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 17

On to step 2:
When dividing 50 by 17, we get 2 with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 34 from 50 and we're left with 16.
Include the next digit (8) from the dividend after 16, then repeat: 168 / 17

On to step 3:
17 can be fit into 168 9 times, resulting in a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 29.0
Deduct 153 from 168 and we're left with 15.
Bring next digit (9) of the dividend behind the 15 and repeat the process: 159 / 17

Let's proceed to step 4:
The number 17 fits into 159 9 times, leaving a remainder of 6.
The next digit of our result is 9. 
Result so far: 299.0
The remainder is 6 after subtracting 153 from 159.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 17

Moving on to step 5:
17 goes into 61 3 times with a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 2993.0
If we take 51 away from 61, we end up with 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 17

Going ahead to step 6:
If we divide 101 by 17, we get 5 and a remainder of 16.
Record the quotient 5 as the next digit in the result. 
Result so far: 29935.0
If we subtract 85 from 101, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 7:
The number 17 fits into 160 9 times, leaving a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 29935.9
Subtracting 153 from 160 leaves us 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 8:
70 divided by 17 is 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 29935.94
Subtract 68 from 70 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 9:
The number 17 fits into 20 1 times, leaving a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 29935.941
If we take 17 away from 20, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 10:
If we divide 30 by 17, we get 1 and a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 29935.9411
Subtracting 17 from 30 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.

The final result is 29935.9411 with a remainder of 0.00013.