I have studied that Gestalt Principles are principles/laws of human perception that describe how humans group similar elements, recognize patterns, and simplify complex images when we perceive objects. But can you give me real-life examples where this is applicable in day-to-day life not just looking at some patterns in the textbook.
Perhaps seeing where it fails will help with understanding.
Consider Forced-Perspective Photography, where the gestalt effect causes your brain to see a false vision of what is actually there.
One area where Gestalt principles are widely applied is in graphic design: for instance, for logo design. Moving to a field that's a bit bigger, Gestalt principles are also used to guide web design processes.
If you're asking not about utilitarian, "artificial" applications of Gestalt theory, but about examples of where it comes into play during day-to-day life, Gestalt principles improve the correctness of how we interpret visual information. For instance, the principle of good continuation dictates that when you see a car partly covered by a tree so that you see two distinct fragments of it, your brain still perceives it as one car and not just two separate car fragments.