There is nothing wrong with paper. In fact, paper has a lot of advantages when it comes to tracking time. Just keep a cheap notebook or a stack of index cards with you at all times, and write down what you were doing and how much time you spend doing it.
Where does the time go? You start a little research. You just want the name of an organization. Before you know it, an hour has passed. You'll never get that hour back, so start tracking your time today.