The phrase "accustomed to finding" is correct and usable in written English.
You can use it when describing a state of being familiar or used to discovering or locating something.
Example: "After years of searching for the perfect job, I have become accustomed to finding opportunities in unexpected places."
Alternatives: "used to discovering" or "familiar with locating".
Another thing: shoppers are accustomed to finding A.T.M.'s at banks, not in stores.
All this appealed to Intel, which was accustomed to finding the best in the industry and buying it.
Men have long been accustomed to finding a designer that fits their taste and sticking with him.
She wrote about his characters: "These are not the tormented souls we are accustomed to finding in literature of the South.
We're accustomed to finding what we want with a simple click, but a lot remains murky until bad news pushes it into the open.
Long-established global precipitation patterns are changing, shifting water supplies away from the places where people have been accustomed to finding them and where facilities have been built.
There is, however, some brighter news for business travelers who have become accustomed to easily finding excellent three-star hotels that offer great rooms, terrific beds, free high-speed Internet service, and even free breakfasts and evening cocktail hours, at prices in the $75 to $130 range.
After running a pitch-perfect campaign, we have become accustomed to Obama finding a way to counter any problem in perception, like his Philadelphia speech on race in March 2008, after the surfacing of incendiary comments of Rev. Jeremiah Wright.
New Jersey travelers are accustomed to seeking, and finding, covered bridges anywhere but here.
Depending on the culture and environment you're accustomed to, the findings of this study may -- or may not -- surprise you, Obradović explained.
Years of getting close to pop and touring with a hand drummer have accustomed her to finding a groove and a vamp first; the song can wait.
