There is no particular way to rank fast in Google. You can focus on your content which is helpful and meaningful to the users.
See what is important to Google
Image source:
http://neilpatel.com
From this image you can see the time on site, social media and fresh content is the most important to rank in Google. If your content is useful people will find it interesting to read and will stay on your site. To get ranking is not the immediate process, you need to have patients after doing all these positive changes on your website.