The Division Property of Equality states that if you divide both sides of an equation by the same non-zero number, the two sides remain equal.
In the equation \( PV = nRT \), to isolate \( R \) using the Division Property of Equality, you divide both sides by \( nT \). This gives you:
\[ R = \frac{PV}{nT} \]
So, the response that correctly demonstrates the use of the Division Property of Equality to rearrange the equation \( PV = nRT \) is:
\[ R = \frac{nT}{PV} \]
However, this exact choice is not in the list provided. The closest and correct rearrangement following this division would be:
\[ n = \frac{PV}{RT} \]
Thus, the best available answer from the options given that shows an application of the Division Property of Equality in rearranging \( PV = nRT \) is:
n = \(\frac{PV}{RT}\)