On my >10 character passwords (I generally don't use shorter passwords with banking sites, so I don't know how the system behaves for short passwords) they ask for ~11 characters. Of course the login box can, and often ends up, being longer than your actual password, so it doesn't visually reveal the actual character count of your password. In my case they usually end up asking for ~5-7 "real" characters.
I presume a good implementation hashes and salts each "sub-password" separately. Since it's the server that decides which subset it wants, I don't think it reduces the search space, unless the hashing/salting algorithm is vulnerable to differential cryptanalysis (which it may be, I don't know this aspect of state-of-the-art hashing functions).