We're dividing 603117 by 35 
We want to divide 603117 by 35.

Going ahead to step 1:
35 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 35

Step 2:
60 divided by 35 is 1 with a remainder of 25.
The next digit of our result is 1. 
Result so far: 1.0
If we take 35 away from 60, we end up with 25.
Fetch the next digit (3) from the dividend, attach it to 25 and continue: 253 / 35

Advancing to step 3:
35 goes into 253 7 times with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Deduct 245 from 253 and we're left with 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 35

Moving on to step 4:
81 divided by 35 is 2 with a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 172.0
The remainder is 11 after subtracting 70 from 81.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 35

Moving on to step 5:
35 can be fit into 111 3 times, resulting in a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 1723.0
Deduct 105 from 111 and we're left with 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 35

Step 6:
The number 35 fits into 67 1 times, leaving a remainder of 32.
Use 1 as the next digit of our solution. 
Result so far: 17231.0
Deduct 35 from 67 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 7:
When dividing 320 by 35, we get 9 with a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 17231.9
Subtracting 315 from 320 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
35 can be fit into 50 1 times, resulting in a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 17231.91
Subtract 35 from 50 to 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.

Advancing to step 9:
The number 35 fits into 150 4 times, leaving a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 17231.914
If we take 140 away from 150, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 10:
When dividing 100 by 35, we get 2 with a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 17231.9142
If we take 70 away from 100, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 11:
The number 35 fits into 300 8 times, leaving a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 17231.91428
If we subtract 280 from 300, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 12:
200 divided by 35 is 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 17231.914285
Subtract 175 from 200 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 13:
If we divide 250 by 35, we get 7 and a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 17231.9142857
The remainder is 5 after subtracting 245 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 14:
When dividing 50 by 35, we get 1 with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 17231.91428571
Subtract 35 from 50 to 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.

The final outcome is 17231.91428571, with a leftover of 1.5e-08.