I can use multiple strategies
to divide whole numbers of 4digit dividends with 1-digit
divisors with remainders.
4.M.NBT.06
Vocabulary
• Divisor – the number you divide by
• Dividend – the amount that you want to
divide up
• Quotient – the answer to a division
problem
Dividend ÷ Divisor = Quotient
Grouping Strategy
• How many groups of 4 balls can we
make with 28 balls?
(Answer on next slide)
Grouping Strategy Answer
• 28 balls ÷ 4 balls in each group
1
2
3 4
5
6
7
• We can make 7 groups with 4 balls in
each group.
Grouping Strategy Practice
• How many groups of 5 balls can we
make with 30 balls?
(Answer on next slide)
Grouping Strategy Practice
Answer
• 30 balls ÷ 5 balls in a group
1
2
3
4
5
6
• We can make 6 groups with 5 balls in
each group.
Distributive (Place Value)
Strategy
• 395 ÷ 5
Step 1: (300 + 90 + 5) ÷ 5
Step 2:
(300 ÷ 5) + (90 ÷ 5) + (5 ÷ 5)
Step 3 & 4: 60 + 18 + 1 = 79
Step 1: Write the
numbers in expanded
notation
Step 2: Divide each
number in the dividend
(first number) by the
divisor (second number)
Step 3: Divide each
section
Step 4: add up the
quotients (answers)
Distributive Strategy Practice
420 ÷ 5
Step 1: (400 + 20 + 0) ÷ 5
Step 2:
(400 ÷ 5) + (20 ÷ 5) + (0 ÷ 5)
Step 3 & 4: 80 + 4 + 0 = 84
Step 1: Write the
numbers in expanded
notation
Step 2: Divide each
number in the dividend
(first number) by the
divisor (second number)
Step 3: Divide each
section
Step 4: add up the
quotients (answers)
Long Division
• If Donna sets up 139 chairs into equal
rows of 6 chairs. How many rows will
there be?
(Answer on next slide)
Long Division Answer
• 139 (dividend) ÷ 6 (divisor)
6 cannot go into 1 so put a x
x23
over the 1
6 139
6 can go into 13 two times so put
a 2 over the 3
-12
Subtract 12 from 13 write the 1
under the 3 -2 and bring down
19
the 9
-18
6 can go into 19 three times so
put a 3 over the 9
1
Subtract 18 from 19 and write
the 1 under the 9-8
Remainder
Donna can set up 23 rows of chairs with 6 in each
row and will have 1 chair left over.
Long Division Practice
• If Debby sets up 279 chairs into equal
rows of 5 chairs. How many rows will
there be?
(Answer on next slide)
Long Division Practice Answer
5 cannot go into 2 so put a x
over the 2
5 can go into 27 five times so
put a 5 over the 7
Subtract 25 from 27 write
the 2 under the 7-5 and bring
down the 9
279 (dividend) ÷ 5 (divisor)
x55
5 279
-25
29
-25
4
Remainder
5 can go into 29 five times so Debby will have 55 rows with 5
put a 5 over the 9
chairs in each row and 4 chairs left
over.
Subtract 25 from 29 and
write the 4 under the 9-5
Rectangular Array
• 1,946 ÷ 7
(Answer on next slide)
Rectangular Array Answer
• 1,946 ÷ 7
200
70
+ 8
278
**Using long
division would
help with filling
out the array**
x278
7 1946
-14
54
-49
56
-56
0
(No Remainder)
Rectangular Array Practice
• 3,336 ÷ 8
(Answer on next slide)
Rectangular Array Practice
Answer
• 3,336 ÷ 8
400
10
+ 7
417
**Using long division
would help with filling
out the array**
x417
8 3336
-32
13
-8
56
-56
0
(No Remainder)
Practice 1
• How many groups of 7 stars can we
make with 28 stars?
(Answer on next slide)
Practice 1 Answer
• 28 stars ÷ 7 stars in each group
1
2
3
4
• We can have 4 groups with 7 stars in
each group.
Practice 2
• Use the Distributive (Place Value)
Strategy to solve:
985 ÷ 5
(Answer on next slide)
Practice 2 Answer
985 ÷ 5
Step 1: Write the numbers in
expanded notation
(900 + 80 + 5) ÷ 5
Step 2: Divide each number
in the dividend (first number)
by the divisor (second
(900 ÷ 5) + (80 ÷ 5) + (5 ÷ 5) number)
180 + 16 + 1 = 197
Step 3: Divide each section
Step 4: add up the quotients
(answers)
Practice 3
• Solve using Long Division:
If James sets up 259 chairs into equal
rows of 6 chairs. How many rows will
there be?
(Answer on next slide)
Practice 3 Answer
6 cannot go into 1 so put a x
over the 1
6 can go into 13 two times so
put a 2 over the 3
Subtract 12 from 13 write the
1 under the 3 -2 and bring
down the 9
6 can go into 19 three times
so put a 3 over the 9
Subtract 18 from 19 and
write the 1 under the 9-8
259 ÷ 6
x43
6 259
-24
19
-18
1
Remainder
James can set up 43 rows of 6
chairs with 1 chair left over.
Practice 4
• Use rectangular array to solve:
3,534 ÷ 6
(Answer on next slide)
Practice 4 Answer
3,534 ÷ 6
**Long division will help with
filling out the array**
x589
6 3534
-30
53
-48
54
-54
0
(No Remainder)
Think about it…
• Tell your neighbor your favorite
division method and why it is your
favorite.
• Write down the steps to solving a
problem using distributive (place
value) strategy.