i'm a bit confused behind the logic of this "long hand" way to division.Code:2.8 ___ 5| 14 -10 --- 4 0

ok, so

5 goes into 14 2 times, so you write a 2. you then subtract the amount of times 5 can go into 14 from 14, and you get 4. Up to this point, i understand it.

why, now, do you bring down a 0, and see how many times 5 can go into 40? why does this give you your fractional part, logically?