Dear Mathletes, This is a topic where teachers are just itching to say flip the fraction and multiply by the reciprocal. Wait!!! This is another great opportunity for students to discover this for themselves. Start off by getting students to divide by a half, a third, a quarter etc by analysing what it means to divide ie how many halves, thirds, quarters for in to so many whole ones. Now move on to dividing by two thirds or three quarters where the answer is a whole number. Here they can use diagrams to find how many two thirds for in to 6 whole ones for example. Now it's a case of asking probing questions for students to make connections and links. They can test out their theories and use a calculator to test it. Try it and promise yourself you will not mention any tricks! Happy teaching :)