We're dividing 511257 by 17 
We want to divide 511257 by 17.

On to step 1:
When dividing 5 by 17, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 17

Advancing to step 2:
51 divided by 17 is 3 with a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 0 after subtracting 51 from 51.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 17

Going ahead to step 3:
The number 17 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 30.0
If we take 0 away from 1, we end up with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 17

Step 4:
17 can be fit into 12 0 times, resulting in a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 300.0
If we subtract 0 from 12, we get 12.
Append the next digit (5) from the dividend to 12 and continue with: 125 / 17

Going ahead to step 5:
If we divide 125 by 17, we get 7 and a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 3007.0
Subtracting 119 from 125 leaves us with 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 17

Let's proceed to step 6:
17 can be fit into 67 3 times, resulting in a remainder of 16.
The next digit of our result is 3. 
Result so far: 30073.0
Deduct 51 from 67 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 7:
When dividing 160 by 17, we get 9 with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 30073.9
The remainder is 7 after subtracting 153 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 8:
17 can be fit into 70 4 times, resulting in a remainder of 2.
The next digit of our result is 4. 
Result so far: 30073.94
The remainder is 2 after subtracting 68 from 70.
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:
If we divide 20 by 17, we get 1 and a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 30073.941
Deduct 17 from 20 and we're left 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.

On to step 10:
17 can be fit into 30 1 times, resulting in a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 30073.9411
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.

In conclusion, the division gives 30073.9411 with a balance of 0.00013.