Sunday, December 12, 2021

Long Division With 2-Digit Divisors - Remainder Only



Before taking on long division with 2-digit divisors, you should feel comfortable with the following:

- Multiplication tables and patterns of multiplication (Counting by 5s or recognizing patterns for the number 25, for example)

- "Clean" one-step division (no remainders, 1-digit divisor. 15÷3=5 or 72÷9=8, for example)

- One-step division with remainders (15÷2=7R1 or 72÷5=14R2, for example)
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In this lesson, the answers will be in remainder form.
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Example: 706 ÷ 15
If you say this out loud, it sounds like "Seven hundred and six divided by fifteen." In order to make it into a long division problem, you have to re-write it. 

Whether the original problem looks like 706÷15 or 706/15, in order to re-write it, you can think of it like this:
Now you can think of it as "Fifteen goes into seven oh-six how many times?" From this step forward, it is helpful to think of the problem in this fashion. 

The first step sounds like, "Fifteen goes into seven evenly how many times?" The answer is zero. Fifteen cannot go into seven evenly, since seven is too small. 

The following table will take you through the entire process for this problem.
ASK YOURSELF LOOKS LIKE THE ANSWER IS LOOKS LIKE YOU SAY
15 goes into 7 how many times evenly?

15 can go into 7 ZERO times evenly

0 * 15 = 0
LOOKS LIKE SUBTRACT LOOKS LIKE ANY MORE NUMBERS? NEXT STEP
7 - 0 = 7

YES Bring down the zero
ASK YOURSELF LOOKS LIKE THE ANSWER IS LOOKS LIKE YOU SAY
15 goes into 70 how many times evenly?


15 can go into 70 FOUR times evenly


4 * 15 = 60
LOOKS LIKE SUBTRACT LOOKS LIKE ANY MORE NUMBERS? NEXT STEP
70 - 60 = 10

YES Bring down the six
ASK YOURSELF LOOKS LIKE THE ANSWER IS LOOKS LIKE YOU SAY
15 goes into 106 how many times evenly?

15 can go into 106 SEVEN times evenly

7 * 15 = 105
LOOKS LIKE SUBTRACT LOOKS LIKE ANY MORE NUMBERS? NEXT STEP
106 - 105 = 1

NO Put remainder on top
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Steve Wilson, a.k.a. "Steve the Tutor," is a tutor in the Tri-Cities (Kennewick, Pasco, Richland), WA, and surrounding areas. With a wide range of experience and adaptability, you will find that Steve the Tutor is the tutor for you! For more information, please visit my Wyzant profile. Thanks!
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Steve Wilson , a.k.a. " Steve the Tutor ," is a tutor in the Tri-Cities ( Kennewick , Pasco , Richland ), WA, and surr...