You can make a start with trying to get links from other websites.
This allows you to get some visitors to your site.
The number would surely depend on the number of links you get.
This is a good method to get traffic but if you are really looking for substantial traffic, this method won't prove that much effective.
You would do well to link with sites that are of good quality and reputation.
Next you can opt for a pay per click advertising campaign as offered by Google.
It is one of the best ways to generate regular flow of targeted traffic to your site.
If you can convert traffic to sales, you can surely benefit from this method.
The third method could be getting involved in sites and forums that witnesses good traffic.
You can promote your products at these forums.
Similarly, you can also make use of banner ads, email marketing, paid links and similar other ways to promote your site.
This method is surely cheaper than pay per click advertising.
Search engine marketing is also very effective as a study shows that 80% of the internet users make use of search engine at least once in a week.
And yes, you can also have ads in the local newspapers if you think your product suits your local market.
This would be the sixth method.
The thing is you have to choose the method that suits your needs the best.