The where . . . You normally are considered a winner and in the top returns if you appear somewhere in the first 30 organic returns, pages one through three. That would mean that you show up within the first 3 pages of the returns for a specific keyword or keyword phrase. There are usually 10 separate returns per page listed. The term used for showing up in the "organic" search engine results is your SERP ie "search engine return position".
I am speaking of the center area of the return page. These are normally the "organic" returns. The PPC ie "pay per clicks" are usually found in the right hand column or at the very top in a color shaded identified area. The SE's may vary the format some but they generally differentiate those that are PPC ads from the free organic returns.
Google Places now confuses the "local search" organic returns by listing up to 10 businesses in the same area where organic returns have traditionally always been found. They further complicate that by "folding into" the Places returns area some of the top 10 organic returns that have also registered with Places businsess listing. To a large degree this soon to monetized product has changed the way local organic is displayed, recognized and appreciated. Often you will need to scroll down below Places to find good local organic website returns now.
The why . . . Well I do not need to say a lot about this! If it's free and people are using the SE's to try and find your site or sites like yours - that certainly is a good thing for you - so you will most likely want to try and take advantage of this opportunity while it is here and still free. Organic returns are considered by most web surfers to be "better" returns than PPC or paid ads as they are based on the organic content and not paid advertising.
You will find some major competition to consistently show up in the top ten. Sometimes from real sites and businesses like your own and often from the advertiser "portal" sites created by web savvy organizations trying to come up for your keywords (or even business name) and get rich from having PPV ie "pay per view" ads and PPC "pay per click" ads on their page that show up when you click on their "tricky" SE return results page that is loaded with your industry keywords. These are the sites you most likely have learned to resist (if not hate) and get out of fast. They seldom take you to where you want to go, if they did that would be fine as they would serve a reasonable function and purpose. The top SE's are constantly adjusting their algorithms to try and identify these type of sites and move them out of the top returns.
The how . . . It is not possible to cover all the areas of your web site from the foundational SEO structure to the 'white hat" techniques of identifying and tagging your theme and key words correctly for the SE's here - it could take a book! This is the kind of service I provide along with the website design and webmaster support services that I can very affordably provide for you, so please feel free to contact me directly if you would like a review of your current site and SERP / SEO assistance.
The things you can do or at least make sure get done is to submit your web site to the top SE's so they at least know that you exist and get you into their que to crawl and index. How you turn up in the SERP's will depend on many factors outside of your immediate control.
The top 3 SE's are: Google BING Yahoo (organic search results now powered by BING)
You can also submit your site if you have a SE type sitemap to: ASK
Once you get past the top 4 there are many other well known SE's who pull their returns from the primary ones so you do not need to try and find and submit to that type of engine. Here is a chart that graphically depicts the relationships of many top SE's.
Next - if you are looking to find some of the best free and not so free website tools to help you with your site development be sure to check out our Webtools page.