Well, we're not a democracy, per se. We're a republic. Technically a democratic republic. Which is a FORM of democracy, but not true democracy.
In a democracy : voting happens
In a republic: representatives of certain areas vote
In a democratic republic: "the people" elect those representatives to vote
In a democracy: "the people" vote
________________________________
A republic can be democratic... but it doesn't have to be. Representatives can be assigned by the ruling council, by hereditary, purchased, worked for... there are MANY different ways that the ruling body of "voters" can be made up. There also may or may not be a ruling head or figure head (elected president/prime minister... or hereditary monarch/emperor), and various degrees of power are assigned to that ruling or figure head. In some forms of republic the "top" person has final say, should they choose to/be able to exercise it... in some forms they voting body has final say. As always, politics enters in *mightily* regardless of what the "rules" are.
Athens had true democracy. ANY citizen could come to the meetings, and all citizens who came to those meetings could vote. ((Imagine if every citizen in the US who wanted to could come to the senate floor and cast their vote)). There was an elected council who met nearly every day of the year, and then a period several months long where the "floor" was open to everyone. And everyone's vote had equal merit.
Rome had a republic (during certain times in the empire). We have a republic. UK has a republic. Iran has a republic. Many religions have a republic. It's a less cumbersome form of government than true democracy, and has more failsafes than either autocracy or democracy.
__________________________________________________
What does it (our particular flavor of democratic republic) mean to ME? Slightly more say than none.