We look at the division of 598580 by 17 
Our goal is to divide 598580 by 17.

Moving on to step 1:
17 goes into 5 0 times 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.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 17

Going ahead to step 2:
If we divide 59 by 17, we get 3 and a remainder of 8.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 51 from 59 leaves us with 8.
Include the next digit (8) from the dividend after 8, then repeat: 88 / 17

Step 3:
88 divided by 17 is 5 with a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
If we take 85 away from 88, we end up with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 17

Step 4:
If we divide 35 by 17, we get 2 and a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 352.0
Subtracting 34 from 35 leaves us with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 17

On to step 5:
17 can be fit into 18 1 times, resulting in a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 3521.0
Deduct 17 from 18 and we're left with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 17

Moving on to step 6:
When dividing 10 by 17, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 35210.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
The number 17 fits into 100 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 35210.5
If we subtract 85 from 100, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
The number 17 fits into 150 8 times, leaving a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 35210.58
If we take 136 away from 150, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 9:
140 divided by 17 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 35210.588
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.

After the division, we end up with 35210.588 and a remainder of 0.0004.