Yes, working on a problem daily means your subconscious is daily prodded to "think about the problem". As you do other things, your brain is 'working on it' so when you do get those few minutes or maybe an hour to work on it, you almost always know what to do - you've been thinking about it all day!

There is an apocryphal story of what Newton said when he was asked, "How did you come up with the theory of gravity?" replying: "By thinking about it all the time."