To solve the equation \(7q = 49\), Remus should use the division property of equality. This property states that if you divide both sides of an equation by the same nonzero number, the two sides remain equal. In this case, Remus would divide both sides by 7 to isolate \(q\):
\[ q = \frac{49}{7} = 7 \]
So, the correct choice is division property of equality.