We're dividing 581934 by 17 
We're looking to find how many times 17 goes into 581934.

Step 1:
The number 17 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 17

Advancing to step 2:
The number 17 fits into 58 3 times, leaving a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we subtract 51 from 58, we get 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 17

On to step 3:
17 goes into 71 4 times with a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 34.0
Subtract 68 from 71 to get 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 17

Moving on to step 4:
The number 17 fits into 39 2 times, leaving a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 342.0
The remainder is 5 after subtracting 34 from 39.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 17

Going ahead to step 5:
17 can be fit into 53 3 times, resulting in a remainder of 2.
The next digit of our result is 3. 
Result so far: 3423.0
The remainder is 2 after subtracting 51 from 53.
Fetch the next digit (4) from the dividend, attach it to 2 and continue: 24 / 17

Step 6:
17 can be fit into 24 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 34231.0
Subtract 17 from 24 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
If we divide 70 by 17, we get 4 and a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 34231.4
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.

On to step 8:
If we divide 20 by 17, we get 1 and a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 34231.41
The remainder is 3 after subtracting 17 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 9:
30 divided by 17 is 1 with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 34231.411
If we take 17 away from 30, we end up 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 34231.411 with a remainder of 0.0013.