1. I can use multiple strategies to divide whole numbers of 4-digit dividends with 1-digit divisors with remainders.
4.M.NBT.06

2. 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

3. Grouping Strategy
How many groups of 4 balls can we make with 28 balls? (Answer on next slide)

4. Grouping Strategy Answer
28 balls ÷ 4 balls in each group
We can make 7 groups with 4 balls in each group.

5. Grouping Strategy Practice
How many groups of 5 balls can we make with 30 balls? (Answer on next slide)

6. Grouping Strategy Practice Answer
30 balls ÷ 5 balls in a group
We can make 6 groups with 5 balls in each group.

7. Distributive (Place Value) Strategy
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)
395 ÷ 5
Step 1: ( ) ÷ 5
Step 2: (300 ÷ 5) + (90 ÷ 5) + (5 ÷ 5)
Step 3 & 4: = 79

8. Distributive Strategy Practice
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)
420 ÷ 5 Step 1: ( ) ÷ 5 Step 2: (400 ÷ 5) + (20 ÷ 5) + (0 ÷ 5) Step 3 & 4: = 84

9. Long Division
If Donna sets up 139 chairs into equal rows of 6 chairs. How many rows will there be? (Answer on next slide)

10. Long Division Answer 139 (dividend) ÷ 6 (divisor) x23 6 139 -12 19 -18
6 139
-12 19
-18
Remainder
Donna can set up 23 rows of chairs with 6 in each row and will have 1 chair left over.
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

11. 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)

12. Long Division Practice Answer
279 (dividend) ÷ 5 (divisor)
x Remainder
Debby will have 55 rows with 5 chairs in each row and 4 chairs left over.
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
5 can go into 29 five times so put a 5 over the 9
Subtract 25 from 29 and write the 4 under the 9-5

13. Rectangular Array
1,946 ÷ (Answer on next slide)

14. Rectangular Array Answer
**Using long division would help with filling out the array**
x278
(No Remainder)
1,946 ÷ 7
200 70
+ 8
278

15. Rectangular Array Practice
3,336 ÷ (Answer on next slide)

16. Rectangular Array Practice Answer
3,336 ÷ 8
**Using long division would help with filling out the array** x417
(No Remainder)
400 10
+ 7
417

17. Practice 1
How many groups of 7 stars can we make with 28 stars? (Answer on next slide)

18. 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.

19. Practice 2
Use the Distributive (Place Value) Strategy to solve: ÷ (Answer on next slide)

20. Practice 2 Answer 985 ÷ 5 (900 + 80 + 5) ÷ 5 180 + 16 + 1 = 197
(900 ÷ 5) + (80 ÷ 5) + (5 ÷ 5)
= 197
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)

21. 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)

22. Practice 3 Answer 259 ÷ 6 x43 6 259 -24 19 -18 1 Remainder
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
Remainder
James can set up 43 rows of 6 chairs with 1 chair left over.

23. Practice 4 Use rectangular array to solve: 3,534 ÷ 6
(Answer on next slide)

24. Practice 4 Answer
3,534 ÷ 6
**Long division will help with filling out the array** x (No Remainder)

25. 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.