there are some free methods of earning bitcoin but the one i have been using for past few years is called freebitco.in which is a bitcoin faucets that gives you some little bitcoin per hour,you can withdraw your earnings from the website when you have earned 0.003 ,the good thing about the website is that they are legit and they pay consistently,this is not a get rich quick scheme but you can earn some little money within a month...goodluck