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Numbers And Operations In Base Ten: Multi-Digit Division CCSS 5.NBT.6 Facts & Worksheets

The multi-digit division is a long and tedious process, but just like multi-digit multiplication, there are a lot of techniques that we can use to help hasten the process and make it much easier.

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Numbers and Operations in Base Ten Multi-Digit Division 5.NBT.6 Worksheets
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The multi-digit division is a long and tedious process, but just like multi-digit multiplication, there are a lot of techniques that we can use to help hasten the process and make it much easier.

See the fact file below for more information on the multi-digit division or alternatively, you can download our 31-page Numbers And Operations In Base Ten: Multi-Digit Division CCSS 5.NBT.6 worksheet pack to utilise within the classroom or home environment.

Key Facts & Information

LEARNING OBJECTIVE:

  • At the end of the lesson, students will be able to divide multi-digit whole numbers using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division.

A NOTE FOR THE TEACHER

  • When dividing multi-digit numbers, take note of the following:
    • Always start by cancelling out any of the zeros, if possible
    • Double-check if your long division is correct by multiplying the quotient by the divisor
    • When estimating the quotient of multi-digit numbers, always round off the dividend and the divisor
    • Use scrap paper for numbers that involve large values

THEORY:

  • The multi-digit division is a long and tedious process, but just like multi-digit multiplication, there are a lot of techniques that we can use to help hasten the process and make it much easier. Before we go into these techniques, let’s first look at how we use long division for the multi-digit division.
  • Take, for example, 180 ÷ 12

We cannot divide the 1 in 180 by 12, so we move by one place value to the right. This time, 18 in 180 is very much divisible by 12. From there, we proceed with the usual steps in long division. If you’ve forgotten how to use long division, it is highly recommended that you review this topic before proceeding with this module

  • We can verify that this is the quotient by using an area model, an alternative to long division when dividing multi-digit numbers.

  • For this area model, we divided the dividend 180 into its expanded form (100 + 80). We started using long division on each component of the expanded form by the divisor 12 from left to right. In this case, we divided 100 by 12, and then we added the remainder of this to the next component of the expanded form.
  • In this case, we added the remainder 4 to the following component 80, which is denoted by the arrow. We then proceed with the long division again, wherein we get the quotient of 84 and 12, which is 7. We then add the two quotients obtained to get the final quotient. In this case, we added 8 and 7 to get the final quotient of 15.
  • Area models can sometimes get confusing, but these are still important as they give us insight on how a dividend can be broken down into components for easier division. However, perhaps the simplest way is by estimating the quotient and multiplying this to the divisor.
  • Let’s go back to our example of 180 ÷ 12

  • We can multiply test values to the divisor 12 until we get a test value that gives us the value of the dividend, 180. After multiple trials, we can see that 15 is the test value that when multiplied to 12, gives us 180. Thus, we can conclude that the quotient of 180 and 12 is 15
  • Although this method uses trial and error and is less structured, this still gives us insight into how multiplication and division are related to each other. This method can also help if the quotient we got after long division is correct.

Numbers And Operations In Base Ten: Multi-Digit Division CCSS 5.NBT.6 Worksheets

This is a fantastic bundle that includes everything you need to know about Numbers And Operations In Base Ten: Multi-Digit Division across 31 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 5.NBT.6 for Numbers And Operations In Base Ten: Multi-Digit Division.

Table of contents

  • A lesson plan
  • Warm up activity
  • Math theory explained
  • Assisted learning activities
  • Independent learning activities
  • Extension activities and games
  • Answer keys

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Use With Any Curriculum

These worksheets have been specifically designed for use with any international curriculum. You can use these worksheets as-is, or edit them using Google Slides to make them more specific to your own student ability levels and curriculum standards.

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