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

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**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

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

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**Grouping Strategy Answer**

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

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**Grouping Strategy Practice**

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

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**Grouping Strategy Practice Answer**

30 balls ÷ 5 balls in a group We can make 6 groups with 5 balls in each group.

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**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

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**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

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

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**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

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**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)

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**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

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

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**Rectangular Array Answer**

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

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**Rectangular Array Practice**

3,336 ÷ (Answer on next slide)

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**Rectangular Array Practice Answer**

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

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

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**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.

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

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**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)

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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)

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**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.

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**Practice 4 Use rectangular array to solve: 3,534 ÷ 6**

(Answer on next slide)

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

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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.

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