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Long Division

Long Division. A How-To Guide for helping your child By: Jennifer Heishman. Long division doesn’t have to be scary!. Long division…just the sound of those two words create fear in many students. But it doesn’t have to be that way!.

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Long Division

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  1. Long Division A How-To Guide for helping your child By: Jennifer Heishman

  2. Long division doesn’t have to be scary! Long division…just the sound of those two words create fear in many students. But it doesn’t have to be that way!

  3. First, let’s be sure that your child understands the different parts of a long division problem. Quotient-the answer to a division problem 34 r4 Remainder-the “leftover” number 174 5 Divisor-The number you’re dividing “by” Dividend-The number you’re dividing, or dividing “into”

  4. long division everyone! • Long division is like a recipe. It has steps that must be done in a certain order if you want the problem to come out correctly. Check out the mneumonic (a “trick” to remember something) on the next page. We use it in class, and you can use it to help your child remember how to do long division at home!

  5. What you say What it means • Does • McDonalds • Sell • Cheap • Burgers? • Divide • Multiply • Subtract • Check • Bring Down

  6. Step 1: Divide (Does) Ask yourself: Can 4 go into 2? If yes, divide. If not, use the next number. No, because it’s bigger than 2. 6 4 265 How many times does 4 go into 26? 4 goes into 26 6 times. (If your child has trouble with this, encourage them to list the multiples of 4 until they get to a number bigger than 26). 4 x 1= 4, 4 x 2 = 8,4 x 3 =12…

  7. 6 4 265 Now, you may be wondering why you put the 6 in the quotient above the 6 in the dividend, and not the 2. The reason why you put it there is because you couldn’t put 4 into 2. Your quotient digits always go over the furthest column to the right that you’re using.

  8. Step 2: Multiply (McDonalds) Multiply the number you just wrote down by the divisor. 6 4 265 6 x 4 = 24 24 Write that answer below the dividend.

  9. Step 3: Subtract (Sell) Subtract 24 from 26. 6 26 - 24 = 2 4 265 Write the answer below the columns of numbers that you subtracted. 24 __ _______ 2 Helpful tip: Make sure your child keeps their columns straight. This will keep them from getting confused about which numbers they’re using!

  10. Step 4: Check (Cheap) 6 This step should not be skipped! At this step, you check to make sure the number you just wrote is smaller than your divisor (remember, that’s the number outside of the table). Ask yourself: Is 2 smaller than 4? Yes If yes, move on to the next step. If not, it means you made a mistake somewhere. Check each step carefully. 4 265 24 __ _______ 2 (If a mistake is made, it is usually that they didn’t put the divisor into the dividend enough times. In this problem, this would happen if they took 5 times 4 instead of 6 times 4.)

  11. Step 5: Bring Down (Burgers) 6 Now, if there are more numbers in the dividend to work with, you bring them down (one at a time). After this step, you start all over with the process! The next slides will continue walking you through the rest of the problem. 4 265 24 __ _______ • 25 Helpful tip: I always have my students draw the arrow down to where the number needs to go so that they don’t get confused and put it next to the number they subtracted!

  12. Step 1: Divide (Does) 66 Ask yourself: How many times does 4 go into 25? 4 goes into 25 6 times. 4 265 24 __ _______ • 25 • (Again, if your child has trouble with this, encourage them to list the multiples of 4 until they get to a number bigger than 25).

  13. Step 2: Multiply (McDonalds) 66 • Multiply the number you just wrote by the divisor. 4 265 24 • 6 x 4 = 24 __ _______ • 25 • 24 • Write that answer below the new • “dividend”.

  14. Step 3: Subtract (Sell) 66 Subtract 24 from 25. 25 - 24 = 1 4 265 24 __ _______ • 25 • 24 • Write the answer below the columns of numbers that you subtracted. __ ______ 1

  15. Step 4: Check (Cheap) • At this step, you check to make sure the number you just wrote is smaller than your divisor (remember, that’s the number outside of the table). • Ask yourself: • Is 1 smaller than 4? • Yes • If yes, move on to the next step. If not, it means you made a mistake somewhere. Check each step carefully. 66 4 265 24 __ _______ • 25 • 24 __ ______ 1

  16. By now, you’ve probably realized that there are no more numbers to “bring down”. This means that we’ve come to the end of the problem! The only thing left to do is write your remainder next to your quotient. Your remainder is the number you are left with at the end of the problem. In this problem, the remainder is 1. The answer to 265 divided by 4 is 66 r1. 66 r1 4 265 24 __ _______ • 25 • 24 __ ______ 1

  17. Congratulations! You’ve just solved a long division problem! On the next slides, there are more long division problems to practice your skills! If you need help remembering the steps, just go back to my earlier slides!

  18. 5 325

  19. 3 624

  20. 839 3

  21. 6 527

  22. This is a fun video with a long division rap! (At the end of the video, he uses decimals instead of remainders. Don’t worry about this…we use remainders in our class!)

  23. Click on the link below to play a long division game! Snork's Long Division Game

  24. What did you think? Was this presentation helpful? I’d love to hear your feedback! Feel free to e-mail me at jheishman@bigspringsd.org and let me know!

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