"finding its place" is correct and can be used in written English.
It means that something is fitting in or fitting well within a certain context or situation. Example: The new art piece was struggling to find its place in the museum, but after some rearranging it finally looked like it belonged.
Now it is finding its place again at a nexus between China, the Indian subcontinent and South-East Asia.
This is a brand new feature that is still finding its place, but it has the potential to be very disruptive for both startups and investors.
But perhaps right now translation is more important than ever – for suddenly, foreign literature seems finally to be finding its place in Britain, an island where it has previously struggled to attract substantial numbers of readers.
Germany has made great progress at finding its place in the world since unification, but it is not yet over the hump of history.
"This is about the market and the university of Exeter finding its place in the market.
"Rehearsal," the theme of the eighth Shanghai Biennale, a major art show, is apt for a nation finding its place in the global cultural spotlight.
I reckon the hair from your head whizzes down an invisible chute before finding its resting place in your ears, nostrils and on your back.
Because many regions and societies are separated by language, the ability to identify what region that cuisine originated from can be your best bet at finding its birth place.
What's great about making such a singular thing is it ends up finding its appropriate home -- the place that knows it's special and weird and one-of-a-kind.
It's about Ukraine finding its true, stable place in the politics of Europe".
A new generation of Iraqi artists, one molded by bloodshed and occupation, is finding its voice in a place reshaped by eight years of war.
