How can I submit an article for my website that can rank?

A good recent discussion can be found at:

http://www.warriorforum.com/main-int...marketing.html

If you use the search funciton you will find many threads about article marketing and article syndication. Several posts in the thread linked above should be of interest to you.

Among all the SEO techniques, article submission can be one of the most successful. Article submission generally refers to the writing of articles that are relevant to your online business and then getting them added to the popular article submission directories.

The main purpose behind article submission is to attract a large number of visitors (and links) to your website without incurring a great cost. Obviously, it is important to make sure that the articles you intend to submit are directly related or relevant to your business.

Important points to remember:

1. Articles should be original and information rich.
2. Articles should be keyword rich but do not stuff keywords.
3. The average length of articles should be between 500 and 700.
4. Give a unique title to your article with main keyword into it so as to make it easy for web crawlers to identify and classify the topic of your article.
5. Provide subheadings, bullets and numberings to articles make it presentable and easy to read for potential customers.

You can also go to google and search for "High PR DoFollow Article Submission Sites" to find the list of relevant sites to post your articles. I also suggest you to look at Press Release submission sites. Do a similar search in google instead replace the words (above) Article Submission with Press Release Submission. You can follow the same technique to find quality sites to backlink by just replacing the words as mentioned above. (Directory Submission Sites, Blog Commenting Sites etc.)

Hope this helps you rank your website high in Google SERPS as well as receive ample traffic & conversions.

Better not go for Article submission sites and look for other sites in your niches and approach them for guest post.
Try posting some content over medium, Storify, Sheknows so that you can pitch them the content posted over those networks and get a sweet spot.