Barkby & Emmons Class Website

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Long Division

State Standard: 

4.C.3: 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. Describe the strategy and explain the reasoning. 


In third grade students learned how to divide a two-digit number by a single digit number using many different strategies. These strategies may have been different than what you learned in school. Like multi-digit multiplication, your child will learn the algorithm to solve long division problems in a later grade. This year we will work on using place value strategies to solve larger division problems. The strategies that we use in class may seem to take longer than the way you solve division problems, but it is helping your child develop the understanding they need to better understand the algorithm later. 


Although it may be tempting, please do not teach your child the algorithm. This tends to cause more confusion for the student. Offer your child the chance to teach you the strategies they use. The best way to learn something is to teach it!


We will work on four main conceptual strategies for division. See the parent letter that went home, as well as examples for each strategy. 

                         Parent Letter

                                     Video of Division Number Talk

                                     Students solve Division Problems  #1 

                                     Students Solve Division Problems #2





Some of the Strategies We May Use in Class:     

Picture Strategy:

Place Value:

Multiplication Facts: 

Number Bonds:




Repeated Subtraction/ 
Big Seven/Partial Products:  

video- there's no sound, but you can see the strategy





video- he calls this the place value method but it is the same as our number bond strategy 


video     video 2    video 3 

When searching for videos, many videos use different names for strategies we use in class. Be careful that what the name on the video matches the name we use in class. 


Students can always check their work by using the inverse (opposite) operation, multiplication. 





Additional Resources to Use at Home

Dice or Cards


Use dice or cards to create your division problem. Then check your work using a calculator or multiplying. If you have a wrong answer, see if you can find your mistake.




Online GamesKeep in mind many games use the standard algorithm to solve. You want to avoid those games. This will only confuse students. 



Division Baseball- solve the problem to move around the bases


Division Soccer- play against a friend or parent to win the game