We're dividing 603108 by 17 
Let's see how many times 17 fits into 603108.

Going ahead to step 1:
17 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 17

Moving on to step 2:
17 can be fit into 60 3 times, resulting in a remainder of 9.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 51 from 60 leaves us with 9.
Include the next digit (3) from the dividend after 9, then repeat: 93 / 17

Step 3:
17 goes into 93 5 times with a remainder of 8.
The next digit of our result is 5. 
Result so far: 35.0
If we subtract 85 from 93, we get 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 17

Going ahead to step 4:
The number 17 fits into 81 4 times, leaving a remainder of 13.
Use 4 as the next digit of our solution. 
Result so far: 354.0
Subtracting 68 from 81 leaves us with 13.
Grab the next digit (0) from the dividend, add it to 13, then carry on: 130 / 17

Advancing to step 5:
The number 17 fits into 130 7 times, leaving a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 3547.0
Subtract 119 from 130 to get 11.
Include the next digit (8) from the dividend after 11, then repeat: 118 / 17

Moving on to step 6:
17 goes into 118 6 times with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 35476.0
If we take 102 away from 118, we end up 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.

Advancing to step 7:
17 goes into 160 9 times with a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 35476.9
Subtract 153 from 160 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.

Step 8:
When dividing 70 by 17, we get 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 35476.94
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.
Use 1 as the next digit of our solution. 
Result so far: 35476.941
Subtracting 17 from 20 leaves us 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.

Step 10:
30 divided by 17 is 1 with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 35476.9411
If we subtract 17 from 30, we get 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 outcome is 35476.9411, with a leftover of 0.00013.