It might be hard. You have to keep trying. You will have more luck with littler companies most likely. You will probably have more luck if you have an agent.
This link gives you a list of the steps you need to take to get a book published.
You need to research several different publishers. Some might take first time authors, some others may not, it depends on the author and I cannot list any right now. Be prepared for rejection letters however, but be persistent.. the more publishers you research, the more options there are for you.