1 in a cheerful way; with feelings of pleasure or satisfactionchildren playing happily on the beachto be happily marriedI think we can manage quite happily on our own.And they all lived happily ever after (= used as the end of a fairy tale ).
2 by good luckSynonym
fortunatelyHappily, the damage was only slight.3 willinglyI'll happily help, if I can.4 (formal) in a way that is suitable or appropriateThis suggestion did not fit very happily with our existing plans.

ˈhæpɪli
ˈhæpɪli