# Division

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```							          Division

A way to introduce and practice
division number stories
Lets review some key vocabulary
to warm up.
QUOTIENT
division problem
REMAINDER

24 R 4          The number
left over after
a quotient is
5 124             found

DIVIDEND
DIVISOR
The number
The number you                  being divided
are dividing by
4 ways to represent division
problems

12 246
246    12

246 / 12
246
12
Let’s try some
problems together!
Division Problems & Fact Families

Division Story:
“I have 56 cookies and 8 friends, how many
whole cookies can each friend have?”
Division Problems & Fact Families

8                                 56

Think Aloud:
and 8 friends, how
many whole
Whoa!
friend have?”          That looks like a fact
family!
Division Problems & Fact Families

8                                   56

families, small          Think Aloud:
division problems like     “8 times ? equals 56.”
this one can be easy.          8 x ? = 56
Division Problems & Fact Families

8               7                 56

Think Aloud:
? x 8 = 56
8 x 7 = 56
8 x ? = 56
7
56     8 = ?                    8   56

56     ? = 8
Let’s try another
problem together!
Division Problems & Fact Families
Tables      Students per table   students in all

Division Story:
“There are 33 students. Each table can seat
6 students. How many tables are needed?”
Division Problems & Fact Families
Tables         Students per table    students in all

6                  33

Think Aloud:
“There are 33                           6 33
students. Each
table can seat 6
students. How                  This is similar to a
many tables are                  fact family, but
needed?”                         not exact.
Division Problems & Fact Families
Tables       Students per table    students in all

6                  33

Think Aloud:
“I need to squish 6                    6 33
into 3 (no fractions
allowed). That
won’t work so I’ll
put a place holder
on top.”
Division Problems & Fact Families
Tables         Students per table    students in all

6                  33

Think Aloud:                                    5
“6 x 5 = 30.                             6 33
That’s close to
33!” I put the 5                           30
next to the place
holder. The 30
goes below the
33.
Division Problems & Fact Families
Tables    Students per table    students in all

6                  33

5
Think Aloud:
6 33
“Now I subtract”
33 – 30 = 3
- 30
3
Division Problems & Fact Families
Tables            Students per table            students in all

6                         6                        33

This is not my final answer.        5 R3

5 tables with 3
“How many tables are needed?”                               students left
over!

I need 6 tables to fit all 33 students!
challenge!
How to Solve a Division Problem
Think Aloud:
5 124                   “I have one hundred
and five friends, how
can each friend
Whoa! Those are               have?”
really large numbers,
lets take it one step at
a time.
How to Solve a Division Problem
Think Aloud:
5 124           and five friends, how
can each friend
have?”

How to Solve a Division Problem
Because I don’t have
5 124           share I have to put
shelf.

my place holder.
How to Solve a Division Problem
Think Aloud:
5 124           and five friends, how
can each friend
have?”

Each friend can have 2
cookies ( 5 x 2 = 10)
How to Solve a Division Problem
2                2 x 5 = 10
5 124
The 2 is placed above
10            the 2 in the dividend.

10 is written below the
12.

Neatness is important!
How to Solve a Division Problem
2         Now subtract 12 – 10.
5 124
12 – 10 = 2
- 10
2
How to Solve a Division Problem
2         Bring down the 4 next to
the 2.
5 124
- 10
24
How to Solve a Division Problem
2         Now I have another
5 124            myself.
- 10         “I have twenty four
24           friends, how many
each friend have?”
Each friend can have 4
cookies. ( 5 x 4 = 20)
How to Solve a Division Problem
24               5 x 4 = 20
The 4 is placed above
5 124           the 4 in the dividend.
- 10
20 is written below the
24          24.
20
Neatness is important!
How to Solve a Division Problem
24         Now subtract 24 – 20.
5 124
24 – 20 = 4
- 10
24
- 20
4
How to Solve a Division Problem
24    R4   Think Aloud:
“I have no more
5 124            friends to share my

24          “I have 4 cookies left
- 20          over.”

4
How to Solve a Division Problem
24    R4      My final answer is:
5 124
24 R 4
- 10
24        When I share my 124
- 20          friends, each friend
left over.
Try some of these
Practice Problems
1.               4.
2 18             7 50

2.               5.
3 29             4 612

3.               6.
5 430            6   200
1.      9        4.      7 R1
2 18             7 50

2.      9 R2     5.     153
3 29             4 612

3.      86       6.        33 R 2
5 430            6   200

```
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