Long Division for Beginners can be challenging and frustrating for some students.

But does it have to be? With these strategies, your 4th Grade students will be Long Division Masters in no time!

2 Simple Ways to Teach Long Division to Kids:

  • The Unconventional Way: PARTIAL QUOTIENT STRATEGY

Although, this strategy may seem strange at first, many of my 4th grade students preferred using this division strategy.

This strategy is all about breaking numbers into smaller numbers and thinking “friendly numbers“, like I mentioned in Long Division Made Easy Concept 4.

Here is an example using the number 520.  This is just one way to break 520 into smaller friendlier numbers.

STEP ONE: Rename the number and break it apart into friendlier numbers.

STEP TWO: Rename 520 to 400 in this example.

STEP THREE: Start a new division problem using the friendly number 100 instead of 120.

STEP FOUR: Repeat and add your three quotients together to arrive at the final answer.

To grab this Long Division Partial Quotients freebie, click here
Ready to try this strategy with your students? I know they’ll love learning long division this way! Here’s a free long division worksheet using this strategy to help you get started.
CLICK HERE to download this free printable long division worksheet.
  • Long Division TRADITIONAL STRATEGY – AKA The MOM and POP Way

This is the same ol’ long division strategy we’ve used since way back in the day! But the KEY teaching students to use this traditional strategy is to present it in a methodical and organized way.

  1. Before beginning a problem, have students generate the first 9 multiples of the divisor. When I was a kid, I spent a lot of time trying to figure out what multiples were close to the dividend.  Generating a list beforehand and referencing it throughout the problem will move things quicker.
  1. Draw lines between the place values of the dividend.  This will help students see each place value  and line up the numbers in the quotient correctly.

This is a simple shift in the way you teach long division to your fourth graders, but it is the ONE THING that will change the game completely when it comes to long division… and multiplication! Each time they start a problem, they’re practicing multiples and recognizing patterns. 

Click here to grab this Long Division Practice freebie.  (same as above)

To Sum it All Up

Long division can be simple for beginners when you use one of these two tried and true methods! Numbers are broken into smaller numbers (partial quotients) or using the traditional long division method with the habit of writing multiples to the side, and BAM! Long division is easy peasy. Do you use one of these strategies? Or something else? Comment with your favorite way to teach kids long division!

If you need some ready-to-print long division activities, you’ll love this long division bundle! There’s even dedicated space for your students to keep track of the multiples off to the side. (Anyone who teaches grades 3, 4, and 5 knows how important it is to give students plenty of SPACE to work!) -___________________

This Division Bundle contains 2 Division Practice PAPER Packets for Long Division for Beginners. One packet is long division with no remainders and the second packet is long division with simple remainders.

Your students will gain division confidence and fact power with these packets of long division practice and long division no remainders.

A place is provided on each page to list the first 9 multiples for each problem, and lines are provided, so numbers are contained in the correct place value. Each 3 digit problem has a one digit remainder.

Use these pages for quick check assessments, math centers, buddy activities, peer tutoring, small group, homework, independent review or even enrichment.

Long Division Made Easy

You can always “COUNT ON ME” for engaging, differentiated math resources to help every student shine!


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