### Long Division Introduction

```What is this problem asking us?
If we divided 682 into 4 groups
of equal size, how many would be
in each group?
Real Life Example
If Grandma has 682 dollars that she
wants to share it equally with four of
her grandchildren, how much will each
How do we solve it?
divisor
4 is our divisor
Look at the first number and ask how many
4’s are in 6
Recall your multiplication facts to find the
one that will give an answer near 6.
There is one four in six.
4x1=4
 Place the 1 above
the division bar
Subtract 4 from 6
many 4s are in 28
Bring down the next
digit in the dividend
 There are no 4’s in 2.
4 x 0 = 0
 Place the 0 above the
division bar
Subtract 0 from 2
There are no more
numbers in the dividend
to bring down.
There are two left over.
remainder
problem is called the
QUOTIENT.
The QUOTIENT is
170 remainder 2
remainder
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
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
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
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 1
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
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
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