To begin to understand something.
Commencer à comprendre quelque chose. (commencer à comprendre quelque chose)
"It took him a while to catch on to the new rules."
"Il lui a fallu un moment pour comprendre les nouvelles règles." (il lui a fallu un moment pour comprendre les nouvelles règles)
to make progress or advance
a perfect or happy ending, like in a fairy tale
Deeply thankful and appreciative.
to advance to a higher level or position
completely flawless or ideal
a person who helps others in need