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1
6e8
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42
.. i i
5225
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i
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__. i
1
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2
BEAT Long
6
1
2
1
8
24
3
0
36
42
4
8
Division!
54
Long division getting
you down?
Yeah, it used to
bother me too.
But then I
discovered…
Sticks
&
Stones
Sticks & Stones…
Safe…
Sugar-free…
Low in calories and
SO
EASY TO USE!
5e5
95
Honestly,
“Sticks & Stones”
is GREAT!
To use “Sticks & Stones”,
start with a long division problem.
5
5
5e5
95
The DIVISOR
is the number
that does the
dividing.
1
0
1
5
2
0
25
3
0
35
Next, list the first 9 multiples of
4
the divisor.
0
5
5e5
5
95
The DIVIDEND
is the number
that is being
divided.
1
0
1
5
2
0
25
3
0
35
Now look at the first digit of the
4
dividend.
0
_
_5
5e5
95
5
1
0
1
5
2
0
25
3
0
35
Since you can take 1 multiple out of
4
this digit, draw 1 “stick” under it. 0
1
_5
5e5
95
I cannot tell a lie.
“Sticks & Stones”
is the BEST !
5
1
0
1
5
2
0
25
3
0
35
Since you drew 1 “stick”, place a 1 on
4
top to represent it.
0
1
_9
5e5
i
95
5
1
0
1
5
2
0
25
3
0
Bring down the next number.
35
4
0
1
_
5e5
i
95
Wait, that
_9
only takes out
“5”. What
about the rest
of the “9”?
_
5
1
0
1
5
2
0
25
3
0
35
You can take 1 multiple out of this
4
number, so draw 1 “stick” .
0
This “stick”
equals 5!
1
_
5e5
i
95
_9
....
6 789
5
1
0
1
5
2
0
25
3
0
Count up from the last “stick” (5) and draw a35
“stone” for each remaining number until you 4
0
reach 9.
Where did
the “4”
come
from?
1
1
_
5e5
i
95
_9
....
4
5
1
0
1
5
2
0
25
3
0
Place a 1 on top to represent the 1 “stick”35
4
that you drew, then put a 4 underneath the
0
“stones”.
Where did
the “4”
come
from?
1
1
_
5e5
i
95
_9
....
4
The 4 comes from the 4 “stones
that were drawn.
5
1
0
1
5
2
0
25
3
0
35
4
0
Now bring down
the last digit.
1
1
_ 5
5e5
i
i
95 i
_9i
....
“Sticks &
Stones”
is better
than pizza!
4
5
1
0
1
5
2
0
25
3
0
35
4
0
Draw 1 “stick” for
every multiple you
can take out of
the number.
1
1
_
5e5
i
i
95 i
_9i
....
__
4
5
__
__
__
__
__
__
__
__
_
_
_
_
_
_
_
_
_
5
1
0
1
5
2
0
25
3
0
35
4
0
Place a “9” on top
to represent the
number of “sticks”
drawn.
“Sticks
&
Stones”
is a real
gift!
1
1
9
_
5e5
i
i
95 i
_9i
....
__
4
5
__
__
__
__
__
__
__
__
5
1
0
1
5
2
0
25
3
0
35
4
0
Since there are no
more numbers to
bring down, you
are finished!
1
1
9
_
5e5
i
i
95 i
_9i
....
__
4
5
__
__
__
__
__
__
__
__
5
1
0
1
5
2
0
25
3
0
35
4
0
Now you have seen
Sticks
&
Stones !
Let’s try another…
4e2
19
4
First, list the
multiples of the
divisor (the
number doing the
dividing).
4
4e2
19
8
1
2
1
6
2
0
24
2
8
32
36
4
Now look at the
first digit in the
dividend (the
number being
divided).
4e2
2
19
8
1
2
1
6
2
0
Hey! That
number is too
small to be
divided by 4!
24
2
8
32
36
4
That’s right! So
now you will have
to look at the first
2
digits together!
Hey! That
number is too
small to be
divided by 4!
4e2
21
19
8
1
2
1
6
2
0
24
2
8
32
36
4
Now draw 1
“stick” for each
multiple that you
can remove from
the number 21.
4e2
21
19
Hmmm…I can go
all the way up to
20, so I can draw 5
sticks!
8
1
2
1
6
2
0
24
2
8
32
36
4
4
Now draw 1
“stick” for each
multiple that you
can remove from
the number 21.
4e2
21
__
__
__
__
19
__
Hmmm…I can go
all the way up to
20, so I can draw 5
sticks!
8
8
1
2
2
1
1
6
2
6
0
2
0
24
2
8
32
36
4
Hmmm… those 5
“sticks” only
took us up to
20…
How do we get
to 21?
4e2
21
__
__
__
__
19
__
8
1
2
1
6
2
0
24
2
8
32
36
4
That’s right,
count on from 20
until we reach 21,
and draw a
“stone” for each
number.
These 5
“sticks”
represent
20.
4e2
21
__
__
__
__
19
__
.
8
1
2
1
6
2
0
24
2
This
“stone” 8
makes 32
21.
36
Now, place a “5” on
top to represent
the 5 “sticks”.
Place a “1” below to
represent the
“stone”.
5
4e2
__
__
__
__
19
__
.
1
4
8
1
2
1
6
2
0
24
2
8
32
36
Hmmmm…
What should we
do next?
Oh yes, bring
down the next
number!
5
4e2
9
__
__
__
i
__
19
__
.i
1
4
8
1
2
1
6
2
0
24
2
8
32
36
Ok…
now what?
That’s it, draw a
“stick” for each
multiple you can
take out of 19.
5
4e2
__
__
__
i
__
19
__
.i
1
9
__
__
__
__
4
4
8
8
1
2
2
1
1
6
6
2
0
24
2
8
32
36
That took us to
16… now what?
Oh yes, count on
from 16 while
drawing “stones”
5
4e2
__
__
__
i
__
19
__
.i
1
9
__
__
__
__
...
1 1 1
7 8 9
4
8
1
2
1
6
2
0
24
2
8
32
36
Now, count the
“sticks” and put the
number on top.
Then count the
“stones” and place
the number below.
54
4e2
__
__
__
i
__
19
__
.i
1
9
__
__
__
__
...
3
4
8
1
2
1
6
2
0
24
2
8
32
36
There are no more
numbers to bring
down, so you are
finished dividing.
54
4e2
__
__
__
i
__
19
__
.i
1
9
__
__
__
__
...
3
4
8
1
2
1
6
2
0
24
2
8
32
36
Because there
are no numbers
left to bring
down, the “3” is
the remainder.
What about
that “3” left at
the bottom?
5 4r
4e2
__
__
__
i
__
19
__
.i
1
9
__
__
__
__
...
3
And that ‘s it!
Sticks &
Stones,
Get yours
today!