591309 ÷ 17 
Let's see how many times 17 fits into 591309.

Going ahead to step 1:
If we divide 5 by 17, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 17

Let's proceed to step 2:
If we divide 59 by 17, we get 3 and a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 51 from 59 leaves us with 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 17

Moving on to step 3:
17 can be fit into 81 4 times, resulting in a remainder of 13.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
Subtract 68 from 81 to get 13.
Bring next digit (3) of the dividend behind the 13 and repeat the process: 133 / 17

Going ahead to step 4:
When dividing 133 by 17, we get 7 with a remainder of 14.
The next digit of our result is 7. 
Result so far: 347.0
If we subtract 119 from 133, we get 14.
Bring next digit (0) of the dividend behind the 14 and repeat the process: 140 / 17

Step 5:
140 divided by 17 is 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 3478.0
Subtracting 136 from 140 leaves us with 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 17

Advancing to step 6:
The number 17 fits into 49 2 times, leaving a remainder of 15.
Put 2 as the next digit of the answer. 
Result so far: 34782.0
Deduct 34 from 49 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
17 can be fit into 150 8 times, resulting in a remainder of 14.
The next digit of our result is 8. 
Result so far: 34782.8
If we subtract 136 from 150, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 8:
17 goes into 140 8 times with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 34782.88
Deduct 136 from 140 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 34782.88 with a balance of 0.004.