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The phrase "a possible division" is correct and usable in written English.
It can be used when discussing potential separations or categorizations in various contexts, such as organizational structures, classifications, or mathematical concepts.
Example: "In our analysis, we identified a possible division between the two market segments that could inform our strategy."
Alternatives: "a potential separation" or "a feasible categorization".
Exact(6)
Some politicians talk openly of a possible division of the country—an exceedingly dangerous prospect.
And with so many new faces in the locker room, and expectations of a possible division title, they are in need of a unifying force.
In addition, there is an overall greater public awareness of prenuptial agreements and the positive ways in which they can protect finances and remove any confusion from a possible division of assets.
Table 2 suggests a possible division of operational responsibilities.
The diversity emanating from IS 701 transposases and TIRs allowed identification of three distinct clusters (Additional file 8), which announced a possible division into subgroups.
This goal, in my view, does not justify the concerns raised here about a possible division in society between the haves and have-nots as far as access to information is concerned.
Similar(54)
Undifferentiated rocks: rocks for which it is not possible to specify finer age divisions.
Mustafa Demir, 51, a salesman, said that while the city was currently "ungovernable" any possible division might go badly "if they do it with the wrong intentions".
And it is possible that divisions between the conservatives over who should bear their standard might let a reformer slip through to the second round a week later, in the event that no one gets a first-round majority.
Maximizing this function over all possible divisions using eigenspectrum analysis yields the optimal division of the network into modules (Newman 2006).
It than calculated a P value for every possible division of the cohort expression data.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com