We're dividing 503908 by 18 
We're looking to find how many times 18 goes into 503908.

Going ahead to step 1:
When dividing 5 by 18, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 18

Let's proceed to step 2:
If we divide 50 by 18, we get 2 and a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 36 away from 50, we end up with 14.
Fetch the next digit (3) from the dividend, attach it to 14 and continue: 143 / 18

Going ahead to step 3:
143 divided by 18 is 7 with a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 27.0
If we subtract 126 from 143, we get 17.
Grab the next digit (9) from the dividend, add it to 17, then carry on: 179 / 18

Moving on to step 4:
179 divided by 18 is 9 with a remainder of 17.
Put 9 as the next digit of the answer. 
Result so far: 279.0
Deduct 162 from 179 and we're left with 17.
Append the next digit (0) from the dividend to 17 and continue with: 170 / 18

Step 5:
The number 18 fits into 170 9 times, leaving a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 2799.0
The remainder is 8 after subtracting 162 from 170.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 18

Moving on to step 6:
The number 18 fits into 88 4 times, leaving a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 27994.0
Subtracting 72 from 88 leaves us 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.

Let's proceed to step 7:
18 can be fit into 160 8 times, resulting in a remainder of 16.
The next digit of our result is 8. 
Result so far: 27994.8
If we take 144 away from 160, 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.

Going ahead to step 8:
The number 18 fits into 160 8 times, leaving a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 27994.88
The remainder is 16 after subtracting 144 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

After the division, we end up with 27994.88 and a remainder of 0.016.