When you start typing something into the search bar at the top of your Facebook profile, the most relevant results start showing at the top. If you see what you're looking for in the bar click on it to save time of searching. If in case, you don't see what you're looking for be it a place or people, then click on "See more results" at the bottom for a full list of results and search for the person you are looking for. 7 top-tips for Effective Facebook Friend search
Browse by Name
You can browse your friends alphabetically be name. But you can only search those friends that have opened Public search settings on facebook because people can close their facebook settings for people search.
Browse Pages
Businesses, Hotels, designers and Celebrities can create Pages in order to connect with their fans and customers on Facebook.
Browse Places
Search on places allows you to get to know about your friends location in the world. You will also be able to see the places where your friends have checked in order to connect with them quickly and easily.
Browse by E-mail Address
Facebook can find people from your email address book. All major websites like Hotmail, Gmail, Yahoo! Mails are supported by facebook.
Browse by Education
Facebook helps you to find former or current high school or university classmates as well based on their education and job in their respective companies.
Browse by Age, Gender, Relationship Status or birthday
You can also search for people within certain age group and of specific gender. Also, the search can be done by their relationship status and star. Facebook also offers you to even search for people who have the same birthday as you.
Browse by similar Interests
Last but not the least you can also find people who share similar interests as you. You can also find people according to their Political preferences, or their Religious beliefs. You can restrict searches to people who are members of a Facebook Group.
Thus, we can say that Facebook helps you to discover everything be it music, movies, television, people, brands & products and companies & organizations. So the best way to find people is by using people search and by signing up to connect with them, see their full profiles, share photos and what not.