Wait, 22/2 is 22 divided by two, which is similar in some way to:
You have $22 and you divide it between your two children, and each get $11.
If you had 22/11, then you have 11 groups of 2s.
You can give her basic concepts about division, like sharing money just like I used here, sharing pieces of cake (and at the same time maybe introduce fractions!), the separation of a group for exploration (eg. a group of 10 people splitting into 2 groups of 5, where you get 10/2 = 5), etc.
Personally, I would introduce division as a reverse of multiplication later, when she gets to know the concept better. Because this knowledge comes in most handy when solving equations.