Choose a somewhat simple division problem that you know will result in a remainder, such as 246 divided by 5.
Show the students how to complete the long-division process starting from the left and working toward the right. For the example, divide 24 by 5 first. The answer is 4, with 4 left over. Bring down the 6 so you now have 46. Divide 46 by 5, for an answer of 9, with 1 left over. The answer is 49 with a remainder of 1.
Explain to the students that 5 is bigger than 1, so you can't divide 1 by 5, leaving 1 as the remainder. (The concept of 1/5 as a fraction can be explained later.)
Create a word problem from another division problem to further illustrate what the remainder is. For instance, tell the students that you have 92 stickers and seven students. You want to divide the stickers evenly among the students.
Work through the problem as you did in Step 2. In this problem, 9 divided by 7 equals 1 with 2 left over. Bring down the 2 so you have 22. Divide 22 by 7 to get 3 with a remainder of 1. The answer is 13, with one sticker left over.
Ask the students if they can divide the left-over sticker between the seven students. The answer is no. Therefore, for each student to receive an equal amount, each student would receive 13 stickers. The teacher would have one left.