The phrase "a larger division of" is correct and usable in written English.
It can be used when referring to a broader category or grouping within a specific context, such as organizational structures or classifications.
Example: "The marketing department is a larger division of the company's overall operations, encompassing various teams focused on different aspects of promotion."
Alternatives: "a broader category of" or "a greater segment of".
The Pritzker School of Medicine is one of few medical schools to be situated within a larger Division of the University The Biological Sciences Division, under the leadership of Kenneth Polonsky, MD, Dean of the Division of Biological Sciences.
In addition there appears to be a larger division of the site, separating it into northwestern and southwestern halves.
From that time to the battle of Chancellorsville, May, 1863, he continued to command a large division of JACKSON's Corps.
An executive with an extensive résumé in marketing packaged foods for Kraft and General Mills -- but no Madison Avenue experience -- is becoming the first black woman to lead a large division of a global advertising agency company.
The outside recruit let's call him Harry had an exceptional record of growing sales while running a large division of a multinational known as a training ground for world-class CEOs.
The paper describes the evolution of FMC Subsea, a large division of the global technology firm FMC Technologies (now TechnipFMC).
A large division of a tech company replaced 60 minute meetings with 45 minute ones.
Excitingly, leads were effective in multiple proteins, two of which comprise a large division of the HK superfamily and are a significant advancement toward general HK inhibition.
In protostomes, a large division of animals including arthropods, mollusks, annelids, and other less-known taxa, the blastopore is the embryonic region that gives rise to the mouth.
So there may be part of a larger division that is not getting a lot of attention.
The idea is to situate the mathematics of set theoretic circularity inside a larger topic, coalgebra, and then to understand both points in terms of a larger division between "bottom-up" and "top-down" ideas.
