We're dividing 603131 by 18 
We're looking to find how many times 18 goes into 603131.

Step 1:
The number 18 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 18

Let's proceed to step 2:
When dividing 60 by 18, we get 3 with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 54 from 60 to get 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 18

Advancing to step 3:
When dividing 63 by 18, we get 3 with a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 33.0
If we take 54 away from 63, we end up with 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 18

Moving on to step 4:
18 can be fit into 91 5 times, resulting in a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 335.0
The remainder is 1 after subtracting 90 from 91.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 18

Moving on to step 5:
The number 18 fits into 13 0 times, leaving a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 3350.0
If we take 0 away from 13, we end up with 13.
Bring next digit (1) of the dividend behind the 13 and repeat the process: 131 / 18

Moving on to step 6:
If we divide 131 by 18, we get 7 and a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 33507.0
Deduct 126 from 131 and we're left 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.

Going ahead to step 7:
The number 18 fits into 50 2 times, leaving a remainder of 14.
The number 2 becomes the next digit in our result. 
Result so far: 33507.2
Subtract 36 from 50 to 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:
18 can be fit into 140 7 times, resulting in a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 33507.27
If we take 126 away from 140, 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.

On to step 9:
When dividing 140 by 18, we get 7 with a remainder of 14.
The next digit of our result is 7. 
Result so far: 33507.277
Deduct 126 from 140 and we're left 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.

The final result is 33507.277 with a remainder of 0.0014.