The simplest method of teaching division of fractions is giving students a worksheet with basic math problems. Keep the fractions simple if you are just starting out and include an example at the top for them to follow. Later worksheets can include more complicated fractions such as 8/17 or 13/32.
Emphasize the "flip and multiply" technique, as Cool Math 4 Kids website suggests. You can use visual memory aids such as video clips of a gymnast to encourage pupils to remember to "flip" the numerator and denominator of the divisor. Or you could create a GIF computer image of the division symbol transforming into the "x" for multiplication. These types of visual aids will reinforce the skills needed.
Once students have mastered the basics of dividing fractions, move on to word problems to bring their skills up a level. Write problems that require students to figure out the fractions before they divide. Encourage students to plot out the fractions with simple drawings related to the word problem.
For an even more advanced lesson, add whole numbers to the mix. Teach students to think of whole numbers as fractions with 1 as the denominator. So 4 would be considered 4/1. Thus, using the flip and multiply technique, you can explain to pupils how dividing by 4 is the same as multiplying by 1/4.