Most governments that call themselves ‘democracies’ are actually representational democracies.
The main difference is that in a direct democracy all citizens vote directly for each issue on what action to take, but in a representational democracy only a few elected representatives get to vote.
To represent a person’s beliefs about everything in an agenda you’d have to ask them lots of questions and remember lots of opinions. The amount of time this takes makes it impossible for a representative with a large constituency (like a US Senator) to represent all of their constituents.
The fact is that most representatives don’t care what their constituents believe and are driven by blackmail and greed, but even if they did want to, it just isn’t possible.
I will be making a post soon about a practical way of doing real democracy but the basic idea is that it would use electronic voting.