There are so many ways to increase your website in google searches.
The very first thing we have to work on is our on-page factors.
Title, Meta tags, Meta discriptions, header etc. The main thing to consider and work on effectively is content. Content of your website as well as blogs should be very impactful, unique, and non-pialgrims.
As content is king, always put your website targeted keywords in your content.
Thereafter you should work on various off-page and social media activites which will crawl and get your website very well indexed.
Good link building activities should be there such as:
Social bookmarking, business listening, directory submission, classified submission, forum posting, blog commenting etc.
Let me know if any other clarification needed.
Best of luck