What are your goals for the next five years / ten years? 

This depends on several factors. Different Individuals have different answers for it.
You can answer as - " I will most likely be involved in a different but still related career path; something to do with the creative side. If I were to start over I would attempt to get myself to specialize in one area as a young man. It’s very interesting to follow one’s interests all at the same time, but you don’t get anywhere very quickly this way. By pursuing lots of interests all at the same time, it takes a long, long time to acquire professional level skills."

The Best way to answer this question:

Be honest but stay positive.  Of course, your answer should be based on the real reason you left, but put a positive spin on it. That means, you should try to frame your honest answer in the most positive way possible.Do not lie, be truthful and honest but do not be harsh on a previous employer. So answer truthfully while at the same time NOT talking about the company or staff in a negative light. More info on why you left a job would help to give applicable suggestions. You TELL them why you left! .  Make it sound as positive as possible though. Put the reason you are no longer at your last job in your question. Unless you were laid off or the company had relocated you too far, just say "it's a career move." It's better not to go into the specifics. Always keep in mind that your  interviewer is looking for a positive, motivated, hard-working candidate. No potential employer wants to hear your gripe about a prior boss or talk poorly about a previous employer. She or he wants to hear about your potential as a superstar at the position you are seeking.

Sometimes it's best to talk about short-term and intermediate goals rather than locking yourself into the distant future. For example, "My immediate goal is to get a job in a growth-oriented company. My long-term goal will depend on where the company goes. I hope to eventually grow into a position of responsibility."

Why are they asking?

The interviewer wants to find out the following:

  -How committed are you to the career and the company
  -How much do you understand about the career path ahead of you
  -How passionate are you

Approach 
Research the job and the organization structure and relate your career plan and progression with the job posting and progression of the company.

Eg.
I would like to work hard and grow with the company to a respectable position with additional challenges and responsibilities and contributing to success of the company.

Please don't give these answers...
"Doing your Job"
"Working somewhere else"
"No idea"
"I haven’t thought that far ahead"
"Have a family"