1 INTRODUCTION  
2 SIMULATIONS AND STELLAR MASS ASSIGNMENTS  
2.1 Stellar mass assignments  
2.2 Quiescent fraction as a function of stellar mass  
3 PRESCRIPTIONS FOR ASSIGNING QUIESCENT GALAXIES  
3.1 Fixed $f_{Q}$, sat  
3.2 Fixed $f_{Q,\mathrm{cent}}/f_{Q,\mathrm{sat}}$  
3.3 Other models  
3.4 Summary of the models  
4 COMPARISONS: INTRINSIC  
4.1 Central and Satellite Quiescent Fractions  
4.2 Quiescent Galaxy Halo Occupation  
4.3 Quiescent Galaxy Distribution in Clusters  
5 COMPARISONS: OBSERVATIONAL  
5.1 Quiescent galaxy correlation function  
5.2 Group multiplicity function  
5.3 Two-dimensional profile in clusters  
5.4 Distribution of projected density: $\Sigma_{5}$  
5.5 Marked Correlation Functions  
6 DISCUSSION  
7 CONCLUSIONS