Division and Remainders in Context

Antonio, a pizza chef and mathematician, demonstrates the partial quotients method for division. He explains how to divide 484 pizza slices among three chefs and 625 pieces of cheesy bread among four chefs using this method. The process involves estimating how many times a divisor can fit into the dividend, subtracting the product, and repeating until the remainder is smaller than the divisor. The final quotient is the sum of the partial quotients, and any remainder is expressed as a fraction. Antonio concludes by summarizing the division results.

What is the main idea behind the partial quotients method?

• Dividing by exact numbers only

• Using common multiples and subtracting differences

• Multiplying numbers repeatedly

• Adding numbers to reach a total

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CCSS.5.NBT.B.6

CCSS.6.NS.B.2

How many times does 3 go into 484 in the first step of the pizza division?

• 50 times

• 100 times

• 150 times

• 200 times

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CCSS.4.NBT.B.6

What is the remainder when dividing 484 slices by 3 chefs?

• 0

• 3

• 1

• 2

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CCSS.4.NBT.B.6

How many slices does each chef make when dividing 484 slices by 3?

• 162

• 161

• 163

• 160

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CCSS.5.NBT.B.6

CCSS.6.NS.B.2

What is the first step in dividing 625 pieces of cheesy bread among 4 chefs?

• Divide by 150

• Divide by 50

• Divide by 200

• Divide by 100

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CCSS.4.NBT.B.6

What is the remainder when dividing 625 pieces by 4 chefs?

• 2

• 1

• 3

• 0

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CCSS.3.OA.A.3

How many pieces of cheesy bread does each chef make?

• 155

• 156

• 157

• 158

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CCSS.4.NBT.B.6

What is the partial quotient for the second step in dividing 625 by 4?

• 80

• 70

• 60

• 50

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CCSS.4.NBT.B.6

What is the final quotient when dividing 625 pieces by 4 chefs?

• 155

• 156

• 157

• 158

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CCSS.3.OA.A.2

How is the remainder represented in the division of cheesy bread?

• As a decimal

• As a percentage

• As a fraction

• As a whole number

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CCSS.3.OA.A.2