The phrase "a customary part of" is correct and usable in written English.
It can be used to describe something that is a regular or expected element in a particular context or situation.
Example: "In many cultures, gift-giving is a customary part of celebrations and special occasions."
Alternatives: "a traditional aspect of" or "a standard element of".
Famous people have protégés, a customary part of the multiply responsive public reception.
Full nudity has been a customary part of the mainstream Western theater since the 1960s and '70s, while avant-gardists were regularly disrobing for public consumption a good decade earlier.
The trick for miners is to ensure not only that the money keeps flowing but also that the miners agree to the spending on roads, railways, schools and hospitals that are now a customary part of the package the industry offers to acquire mineral rights.Many feel abused but they do not have much choice.
If you read today's story about the six best cities to get lost in, you can understand why we feel nostalgic for a time when getting lost was a customary part of any travel experience.
"You see this," he said, pointing to the long shawl that I happened to be wearing, a customary part of every village woman's dress, "they try to use this [as a bandage] because it is all they have".
Though welfare issues are becoming a customary part of conducting research on animals far more could be done in terms of specifying moral norms and appropriate policies guiding animal research by empirical data.
The truth is health care rationing is a usual and customary part of the current health insurance system in the US.
Group A: customary treatment.
It is customary to offer a part of every meal on the shrine before eating and a portion of tea before drinking.
Meanwhile, although a desire to reinforce customary authority structures formed an important part of this search for a unifying cultural identity, the quest for a stable, traditional, shared "past" created new, micropolitical instabilities within the community, conditioned by expectations of financial gain and by sources of social status.
I asked if this was a customary practice of purveyors.
