Use hands-on tools to teach division by teaching grouping. For instance, take out 15 pieces of candy and tell the kid she/he has to divide them by 5 people, creating five equal groups of candy. Write the division problems on a piece of paper with the explanation that the number on the inside represents the total pieces of candy and the number on the outside represents the number of groups that candy needs to be put into. Then work it all out. Be sure to start with equal groupings at first, then work into remainders, then adding decimals, etc. The candy can also be used as a treat, providing an incentive for whatever number of correct answers.
Although I have never taught 3rd grade, I have taught learning disabled 7th and 8th graders whose math skills were below that of a third grader, and manipulatives always work better!