Concept: The direction of electrophilic aromatic substitution is governed by the nature of the substituent already present on the benzene ring.
Step 1: {Identify the nature of the substituent.}
The substituent is a quaternary ammonium group, $-\text{N}^+(\text{CH}_3)_3$.
This group carries a positive charge directly on the nitrogen atom attached to the ring.
Step 2: {Determine the electronic effect.}
The positive charge makes the group strongly electron-withdrawing by the inductive effect ($-I$ effect).
It lacks lone pairs, so it cannot provide resonance stabilization to the ring.
Step 3: {Predict the orientation of nitration.}
Strongly electron-withdrawing groups without resonance capability are meta-directing and deactivating.
Nitration using $\text{H}_2\text{SO}_4/\text{HNO}_3$ will therefore place the nitro group ($-\text{NO}_2$) at the meta position.