To dream of a garbage can represents ideas, memories, habits, or situations that you don’t want to notice ever again. You want to see something over or simply don’t care about something anymore.
To dream of having to search through for something may reflect feelings about having been careless with a person or situation in your life and wishing to reverse it. Regretting yourself neglecting being careful or not respecting something as much as you should have.
Example: A woman dreamed of searching through for a hand written note she placed in the garbage and not being able to find it. In waking life a man she had been dating had carefully told her to stop certain behavior that annoyed him and then broke up with her when she didn’t. She felt desperate to try hard to get a second chance to prove herself with him, but it was pointless as he had no interest in her anymore. The garbage can in this case may have reflected her feelings about having disregarded the advice of the man she was dating.