How do i divide rational numbers

You can use a pencil and either long or short division, or
you can punch them into your calculator.

You can forget about them being "rational numbers". 
That fact doesn't have any effect on how you divide them. 
All the numbers you've ever worked with until this year have
been rational numbers, but nobody ever gave them that name
before. 

If a number is written down in front of you, on paper or on the
screen, then it's a rational number.