To dream that you are throwing away garbage suggests that you are kicking your old negative habits and throwing away your bad characteristics and unwanted traits. Alternatively, garbage indicates that you are not taking responsibility for something.
To see piles of garbage in your dream represent rejected or unwanted aspects of yourself.
To find something valuable in the garbage suggests that you can find value in the least expected of places. Do not undervalue or underestimate things. The dream may also be telling you that one man’s trash is another man’s treasure. Perhaps you need to view things from a different perspective.