Could someone please help with this OG problem? Thanks in advance!

A school administrator will assign each student in a group of n students to one of the m classrooms. If 3<m<13<n, is it possible to assign each of the n students to one of the m classrooms so that each classroom has the same number of students assigned to it?
(1) It is possible to assign each of the 3n students to one of m classrooms so that each classroom has the same number of students assigned to it.
(2) It is possible to assign each of the 13n students to one of m classrooms so that each classroom has the same number of students assigned to it.