As far as I am aware, nothing has ever been *observed* to be in two places at once, although I'd be happy to be corrected on this point. But all the experiments I've seen explained in terms of a photon or other particle being "in two places at the same time" refer to something called quantum superposition, which isn't quite the same thing as being seen in two places at once. What's going on is about how you describe things before they are observed, or in between observations and measurements.
The following isn't perfect, but hopefully it helps.
1. Imagine tossing a coin. We know that we can get only two results from this: heads and tails. But before the coin lands it isn't either really.
2. But we *could* say that the coin is both while it's spinning, and write the coin's spinning state as "(1/2)[Heads] + (1/2)[Tails]". This is a "superposition", which is really just a posh word for "adding". The (1/2)'s appearing are the probabilities, chances, that we get a Head or a Tail.
3. When the coin lands, we "select" one or the other with probability 1/2 -- and to be honest that's about it, this is a mathematical trick*, but the point I'm making is that quantum superposition is similar to this.
4. Write all of the possible results a quantum system can have when it's measured, add them together so that the answer has something to do with how likely that result is.
5. The "two places at once" is an (arguably too literal) interpretation of this, when the states being superposed (added) are positions.
My hope is that even if this doesn't make things clear, it's clear *enough* to provide something that you can ask questions about.
*Although it's fun to note that every result of coin tossing probability follows from writing it like this and treating it in a similar way to quantum mechanics.