just created a new website?
do you have quality contents?
But no loyal readers or no visitors?

if you answer yes for above questions then you have got to right place.
First understand the basic thing .......
when u create a website it is one among the ONE BILLION+ .Among those how do you expect those visitors to come to your site....Because u have created a website and know one knows about it.

ADDS
So u have to make necessary things for advertisement .there are lots of websites that offer free advertising like linkreferral.com

• Join others website and from there u can get enough visitors.
• Do comment on others blog along with Backlinks.Those who read your comment will be attracted by your comment and visit your site.
• Join referral sites
• Join social networking sites like Twitter,Facebook..... make many friends and tell about your website[remember not to spam]
  
• Have open contacts with your visitors regularly and answer their Questions.
• Last but not least give them something valuble to them for free.