Simple Division with Remainders Worksheets
The concept of division is all about sharing and splitting things up evenly. There are many times when we want to perform this operation, but it cannot be done equally or evenly based on the set of circumstances or situation that we are presented with. In these situations, there will be some leftovers or things that cannot be evenly split. These leftovers or things that cannot be dispersed equally are called remainders. There are three parts to any division problem: the dividend (what is being broken up), the divisor (how many parts or groups it is being broken into), and the quotient (how many groups it can evenly be divided into). If there is any amount greater then equal divisions, this remaining amount is called the remainder. The remainder is always less than the value of the divisor, but it can be greater than or equal to the quotient. This selection of worksheets and lessons introduces students to division with leftover remainders.
Aligned Standard: 3.OA.C.7
- Two Into Seven Step-by-Step Lesson- A nice setup to start your practice. The problem use a long division pretense to start students off right.
- Guided Lesson - You need to remember that some of these will have remainders.
- Guided Lesson Explanation - These are all one step, but are packed with a full walkthrough of what needs to be done.
- Matching Sheet - Remainders are everywhere in these. That is what we are looking for.
- Practice Worksheet - Again, we are just looking for the remainders here.
- Division with/without Remainders Five Pack - Ten problems stretched out you to practice with.
- Answer Keys - These are for all the unlocked materials above.
Homework Sheets
Tell us the outcome and what is left over.
- Homework 1 - 2 can only go 3 times evenly into 7. That leaves us with 1.
- Homework 2 - How many times does 5 go into 9 evenly?
- Homework 3 - How many times does 5 go into 37 evenly? 7 times (7 x 5 = 35), but .., we are left with 2.
Practice Worksheets
Be very careful here! They are only looking for the remainder, nothing more.
- Practice 1 - Write the letter of the answer that matches the problem.
- Practice 2 - The amount which left over after division is known as remainder.
- Practice 3 - Complete all the problems. State just the remainder of each problem.
- Quick Lesson - When writing the answer to a quotient with a remainder, we write it as: (Amount that can evenly be divided) ("remainder") (amount left over)
Math Skill Quizzes
Yes, everybody has some left overs here.
- Quiz 1 - Single into double digit values. This will require so thought.
- Quiz 2 - We provide you with two ways of looking at these. This is helpful for students to get their place about them.
What are Remainders from Division?
We when we begin to learn about the concept of dividing one value into another it is often illustrated as sharing the dividend in a set number of groups. There are many occasions where the dividend is an odd value, for instance 9, and you are sharing them by an even divisor, for instance 4 groups. In this case, each of the groups will have 2, but 1 will be leftover and cannot be shared by the group. These left overs are called remainders. But what are remainders?
This question is often asked by students in early academic stages. Let's try understanding that from an example. Suppose that you are entertaining a group of 14 people among whom you need to distribute 50 muffins. Without even trying to do math, you can easily predict that there are no way 50 muffins can be divided among 50 people equally. When distributing all the muffins, you will realize that when every member has received 3 muffins in their plates, there are 8 muffins left extra. That extra or leftover, is called the remainder. In this entire problem, 50 was the dividend or the figure that needed to be divided up. The divisor is the number we are dividing by which is 14. Quotient is how many times the divisor fits into the dividend which here is 3. Lastly, the remainder is the left over or the extra i.e. 8. Can you break up the remaining muffins to share them, in this particular case absolutely, but that does not fit all situations.