Download Long Division Introduction

What is this problem asking us?
If we divided 36,987 into 5
groups of equal size, how many
would be in each group?
Real Life Example
If Janice has 5 years to repay a
small business loan for $36,987, how
much will she need to pay each year?
How do we solve it?
divisor
5 is our divisor
Look at the first number and ask how many
5’s are in 3
There are none, so we ask how many 5’s are
in 36
How many 5’s are in 36?
Recall your multiplication facts to
find the one that will give an answer
near 36.
5 x 7 = 35
 5 x 7 = 35
 Place the 7 above
the division bar
Subtract 35 from 36
 Now ask how
many 5’s are in 19
Bring down the next
digit in the dividend
 5 x 3 = 15
 Place the 3 above
the division bar
Subtract 15 from 19
Bring down the next
digit in the dividend
 Now we ask how
many 5’s are in 48
 5 x 9 = 45
 Place the 9 above
the division bar
Subtract 45 from 48
Bring down the next
digit in the dividend
 Now we ask how
many 5’s are in 37
 Place the 7 above
the division bar
Subtract 35 from 37
There are no more
numbers to bring down
The remainder is 2,
which means 2 are left
over
5 x 7 = 35
The quotient or
answer to our problem
is 7,397 with a
remainder of 2
Our Real Life Example
If Janice has 5 years to repay a small
business loan for $36,987, how much
will she need to pay each year?
What is this problem asking us?
If we divided 8,437 into 6
groups of equal size, how many
would be in each group?
Real Life Example
Can you think of a word problem that
can be expressed as the division
problem written above?
How do we solve it?
divisor
6 is our divisor
Look at the first number and ask how many
6’s are in 8
There is one, so we multiply and begin to
work through the steps to solve the problem.
6x1=6
 Place the 1 above
the division bar
Subtract 6 from 8
Bring down the next
digit in the dividend
 Now ask how
many 6’s are in 24
 6 x 4 = 24
 Place the 4 above
the division bar
Subtract 24 from 24
Bring down the next
digit in the dividend
 Now ask how
many 6’s are in 3
6x0=0
 Place the 0 above
the division bar
Subtract 0 from 3
Bring down the next
digit in the dividend
 Now ask how
many 6’s are in 37
 6 x 6 = 36
 Place the 6 above the division bar
Subtract 36 from 37
There are no more numbers to bring
down
The remainder is 1, which means
there is one left over
The quotient or answer to our
problem is 1,406 with a remainder of 2
36
7 2,538
-21
43
-42
 25 ÷ 7 or how many groups
of 7 are in 25
Think of a your seven facts
7x3=21
Place the 3 above the bar
Subtract 21 from 25
Bring down the next digit in
the dividend ~ THREE
43 ÷ 7 or how many 7’s are
7 x 6 = 42
in 43
362
7 2,538
-21
43
-42
18
-14
4
7 x 6 = 42 ~ Place the 6 above
the division bar
Subtract 42 from 43
Bring down the next number in
the dividend ~ EIGHT
How many 7’s are in 18
7 x 2 = 14
Place the 2 above the bar
Subtract 14 from 18
Our quotient is 362 with a
remainder of 4
47
8 3,792
-32
59
-56
 37 ÷ 8 or how many groups
of 8 are in 37
Think of a your eight facts
8 x 4 = 32
Place the 4 above the bar
Subtract 32 from 37
Bring down the next digit in
the dividend ~ NINE
59÷ 8 or how many 8’s are
8 x 7 = 56
in 59
474
8 3,792
-32
59
-56
32
-32
0
8 x 7 = 56 ~ Place the 7 above
the division bar
Subtract 56 from 59
Bring down the next number in
the dividend ~ TWO
How many 8’s are in 32
8 X 4 = 32
Place the 4 above the bar
Subtract 32 from 32
Our quotient is 474
58
3 1,763
-15
26
-24
 17 ÷ 3 or how many groups
of 3 are in 17
Think of a your three facts
3 x 5 = 15
Place the 5 above the bar
Subtract 15 from 17
Bring down the next digit in
the dividend ~ SIX
26 ÷ 3 or how many 3’s are
8 X 3 = 24
in 26
587
3 1,763
-15
26
-24
23
-21
2
3 x 8 = 24 ~ Place the 8 above
the division bar
Subtract 24 from 26
Bring down the next number in
the dividend ~ THREE
How many 3’s are in 23
3 x 7 = 21
Place the 7 above the bar
Subtract 21 from 23
Our quotient is 587 with a
remainder of 2
27
9 2,473
-18
67
-63
 24 ÷ 9 or how many groups
of 9 are in 24
Think of a your nine facts
9 x 2 = 18
Place the 2 above the bar
Subtract 18 from 24
Bring down the next digit in
the dividend ~ SEVEN
67 ÷ 9 or how many 9’s are
9 x 7 = 63
in 67
274
9 2,473
-18
67
-63
43
-36
7
9 X 7 = 63 ~ Place the 7 above
the division bar
Subtract 63 from 67
Bring down the next number in
the dividend ~ THREE
How many 9’s are in 43
9 x 4 = 36
Place the 4 above the bar
Subtract 36 from 43
Our quotient is 274 with a
remainder of 7
74
2 1,499
-14
09
- 8
 14 ÷ 2 or how many groups
of 2 are in 14
Think of your doubles
2 x 7 = 14
Place the 7 above the bar
Subtract 14 from 14
Bring down the next digit in
the dividend ~ NINE
9 ÷ 2 or how many 2’s are in
2x4=8
9
749
2 1,499
-14
09
- 8
19
-18
1
2 x 4 = 8 ~ Place the 4 above
the division bar
Subtract 8 from 9
Bring down the next number in
the dividend ~ NINE
How many 2s are in 19
2 x 9 = 18
Place the 9 above the bar
Subtract 18 from 19
Our quotient is 749 with a
remainder of
1
22
3 6,843
-6
08
- 6
 6 ÷ 3 or how many groups
of 3 are in 6
Recall your multiplication
facts
3x2=6
Place the 2 above the bar
Subtract 6 from 6
Bring down the next digit in
the dividend ~ EIGHT
8 ÷ 3 or how many 3’s are in
8
3x2=6
2 2 81
3 6,843
-6
08
- 6
24
-24
03
- 3
0
 3 x 2 = 6 or how many groups of
3 are in 6
Place the 2 above the bar
Subtract 6 from 8
Bring down the next digit in the
dividend ~ FOUR
How many 3’s are in 24
Place the 8 above the bar
 Subtract 24 from 24
Bring down the THREE
 3 x 1 = 3 ~ Now subtract
Our quotient is 2,281
Try These On Your Own
• We will check them using webmath.com
6 3,927
4
8 3,506
9
7
8,338
8,146
4,468