There are a variety of ways to get this achievement, but the earliest opportunity will be while making your way up the Ginso Tree. You will come to a room with 6 teleports and two keystones that are necessary for progression on the right of the screen. Now all you'll need to do is go between the two connecting portals on the right of the screen and make sure to double jump each time. After double jumping 5 times, safely land on the middle platform in order to unlock the achievement.
Later on in the game, this achievement can also be attained by using bash on airborne enemies or projectiles, and double jumping after every bash. A reliable method is to use the 4 owls near the top of Sorrow's Pass. You can bash and double jump between them without much issue, and there are also hanging lights that you can use if necessary. There are also a lot of projectiles near the entrance of Mount Horu. Again, the achievement should unlock upon landing safely.