We look at the division of 478603 by 18 
We want to divide 478603 by 18.

Going ahead to step 1:
18 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 18

Step 2:
18 can be fit into 47 2 times, resulting in a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 11 after subtracting 36 from 47.
Take the next digit (8) from the dividend and append it to 11, then repeat: 118 / 18

Moving on to step 3:
When dividing 118 by 18, we get 6 with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
If we take 108 away from 118, we end up with 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 18

Going ahead to step 4:
If we divide 106 by 18, we get 5 and a remainder of 16.
Record the quotient 5 as the next digit in the result. 
Result so far: 265.0
Subtracting 90 from 106 leaves us with 16.
Append the next digit (0) from the dividend to 16 and continue with: 160 / 18

Let's proceed to step 5:
If we divide 160 by 18, we get 8 and a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 2658.0
If we take 144 away from 160, we end up with 16.
Take the next digit (3) from the dividend and append it to 16, then repeat: 163 / 18

Let's proceed to step 6:
If we divide 163 by 18, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 26589.0
Deduct 162 from 163 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
If we divide 10 by 18, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 26589.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
If we divide 100 by 18, we get 5 and a remainder of 10.
The next digit of our result is 5. 
Result so far: 26589.05
Deduct 90 from 100 and we're left 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.

Step 9:
When dividing 100 by 18, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 26589.055
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 26589.055 with a remainder of 0.001.