Multi-Digit Arithmetic Division


Multi-Digit Arithmetic Division introduces students to a new method for solving division problems. They will learn about the array method, or model area strategy. The lesson also includes a refresher on long division. Students will use both of these strategies throughout the lesson to demonstrate their skills and knowledge.

There are several alternatives or suggested additions in the “Options for Lesson” section. You may want to include them in your instruction. For instance, you could have students role play in partners as sage and scribe. One student would explain to the other how and why they solved a problem in their way using the two methods.

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What our Multi-Digit Arithmetic Division lesson plan includes

Lesson Objectives and Overview: Multi-Digit Arithmetic Division teaches students how to divide numbers to find whole quotients. The dividends will be no longer than four digits. The divisors will only be one digit. Students will use two methods to solve the problems: long division and arrays. They will likely already know long division, but arrays may be completely new to them. By the end of the lesson, they should be able to solve division problems with ease using these methods.

There are four total content pages in this lesson that outline how to use two methods to divide numbers. The lesson will first remind students of some of the vocabulary of division: dividend, divisor, quotient. You can take as much time as you need to ensure your students grasp these words and their meaning.

The lesson then discusses the concept of using an array to divide numbers. It breaks down each step and presents two examples for them to practice with. If you need to spend extra time here, you can come up with a couple examples of your own. Next, students will work on long division. The lesson provides three examples to work through to refresh students’ memory of this method.


Students will really have fun with this activity. They will get together with partners or groups up to four people and play a game. The lesson lists a few of the materials they need and explains the instructions. Students will draw a card with a number on it. They will collect the number of counters that matches the number on the card. Then they will roll a dice to figure out how many rows they have to divide their counters into. That will create the division problem they have to figure out.


The practice worksheet requires students to use the model area strategy (array) to divide problems. There are only two problems on the worksheet. Each problem has a table of four columns and rows beneath it. Students will use these columns to create their area models.


For the homework assignment, students will use either a model area strategy or long division to divide numbers. There are six total problems for them to solve. They can use an extra sheet of paper if they need to to show their work.

Additional information


3rd Grade, 4th Grade



State Educational Standards


Lessons are aligned to meet the education objectives and goals of most states. For more information on your state objectives, contact your local Board of Education or Department of Education in your state.