No. of users which memorize your website name or brand, visiting your website at first visit is the best benefits which you can get from website design. Different visitors driven from different campaign, if they remember your business you don't need to spend money to get those visitors back through spending money on those campaigns. below are some points which would help you achieving that benefit.

first you should brainstorm on providing best reason to your visitors to visit again. Do you provide good information beneficial to them? Do you have any section for freebies where you give away stuff available to your website only. Do you have system which keeps them engage and keep them informed about your website. As per your business type, implement things.

Visitors expects to have equal experience regardless of browser, device or any other technology they use to view your website. Make sure your website is compatible to different web technology.

Your User interface must hide the complexity remains at back end management. Websites like stock listing or air flight booking, where you need to fetch value from third party service with use of web service or application, you must provide simple interface. If your visitors would experience simplicity in using your site compare to others, they would likely to visit your website again..

Implementing intelligence in your website by remembering the certain values or history when any visitor visit your site again is also smart move in creating better experience.