Fighting
First you build several ships, such as Corvettes, Destroyers, Frigates
Fill them with Fighters or Bombers and Marines
Move your fleet to an astro where other player have ships and/or a base
Upon landing, access your Fleet overview page and hit Attack tab
You can select which ships to attack and how many
click the button to finish the attack, and look into the Battle Report the results, also it would be a good idea to have recyclers in your fleet to grab the debris