We look at the division of 598067 by 17 
We want to divide 598067 by 17.

Advancing to step 1:
The number 17 fits into 5 0 times, leaving 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.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 17

Going ahead to step 2:
If we divide 59 by 17, we get 3 and a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 8 after subtracting 51 from 59.
Append the next digit (8) from the dividend to 8 and continue with: 88 / 17

Let's proceed to step 3:
The number 17 fits into 88 5 times, leaving a remainder of 3.
The next digit of our result is 5. 
Result so far: 35.0
If we take 85 away from 88, we end up with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 17

Moving on to step 4:
17 goes into 30 1 times with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 351.0
Subtracting 17 from 30 leaves us with 13.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 17

Step 5:
The number 17 fits into 136 8 times, leaving a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 3518.0
If we subtract 136 from 136, we get 0.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 17

Going ahead to step 6:
7 divided by 17 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 35180.0
Deduct 0 from 7 and we're left 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.

Moving on to step 7:
17 can be fit into 70 4 times, resulting in a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 35180.4
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.

Moving on to step 8:
17 goes into 20 1 times with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 35180.41
If we subtract 17 from 20, we get 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 9:
17 can be fit into 30 1 times, resulting in a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 35180.411
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.

Our division results in 35180.411 with a remaining 0.0013.