Breaking Down Division with Remainders

Lesson by James Gumela


CCSS.MATH.CONTENT.4.NBT.6 Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.


30-45 minutes 


This lesson plan will explore how students interpret remainders in the context of a problem. They will learn how to divide and have a number leftover. Students will be using the concept of division and remainders. An instructional video will be presented as well as a PowerPoint presentation and an educational game that can be used to reinforce the concept of remainders with assessment data.


 Device with web-browser (Chromebook, laptop or desktop computer); or iOS (iPhone/iPad) with access to Google apps. 

📚 Lesson

Watch Video

In division, remainders occur when a number can’t be evenly divided. This video will help the students understand the concept of remainders.

Also available in spanish:

Break Down Long Division in a Presentation

This Google slides presentation: Division with remainders reviews the parts of a division problem; quotient, division and divisor, then works a sample problem step by step. The presentation ends with a practical question in a word problem- when you have a remainder, what do you do with the amount that remains?

Play a Game – Making Camp Dakota

Making Camp Dakota follows a family at a pow-wow as the children learn about Dakota culture through stories from their elders and apply their long division skills along the way.

Differentiated Instruction

GAME: Making Camp Premium

Have students play Making Camp Premium using these icons. Students who struggle with this standard will receive individual instruction within the game to teach and reinforce this concept. 

Menu from Making Camp Premium
Man standing in front of trees, a game icon

ASSESSMENT: Making Camp Premium Reports

You can view your students’ progress on mastering these standards by viewing your Making Camp Dakota and Making Camp Premium teacher reports. You can access the teacher reports here.


Minnesota Math Standard Consider the context in which a problem is situated to select the most useful form of the quotient for the solution and use the context to interpret the quotient appropriately. 

2 thoughts on “Breaking Down Division with Remainders

  1. Pingback: Buffalo Hunts and Division

  2. Pingback: Introduction to Lakota/Dakota Oral Histories & Storytelling -

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