I have a leak from the bathroom shower or floor. I fill the shower and covered the drain and no water leaked. My question is can water leak through grout? I'm thinking the water is coming from when the shower door is opened and the water spills to the floor. If so, how do I fix this??

I'm going to ask a moderator to break your question away from this into it's own thread in the interior home improvement area. Can water leak through grout? It does in pretty much every tiled shower in the world every time it is used. Tile and grout provide only pretty watershedding surface. If you cannot shower and have it contain all water before a single tile ever goes on the wall or floor, your shower is built wrong. If you think the water is going through the door and it's on a track, use a cup filled with water to pour water along the door track. If the door track is leaking, you will see water coming through. That would be a simple recaulking job. Any chance you cold post pictures of where the leak is presenting itself outside of the shower?

Its not a good idea to piggyback your question on someone else's. This can lead to confusion. You should start a new thread. So I've moved your question to its own thread.