Partial Quotients Division Concepts

This video tutorial explains how to use partial quotients to divide numbers by a one-digit number. It demonstrates the process with two examples: dividing 965 by 6 and 345 by 7. The method involves breaking down the division into manageable parts, finding partial quotients, and subtracting until the remainder is less than the divisor. The video concludes with a summary of the technique.

What is the main purpose of using partial quotients in division?

• To increase the complexity of division

• To avoid using multiplication

• To break down the division into manageable parts

• To find the exact number of groups immediately

When setting up a division problem using partial quotients, what is the first step?

• Set up the division problem

• Estimate the total number of groups

• Find the remainder

• Subtract the largest possible number

What is the first step in using partial quotients to divide a number?

• Divide by the largest digit

• Find the largest possible group

• Subtract the smallest possible group

• Estimate a manageable group size

How many groups of six are initially found in 965?

• 20

• 10

• 25

• 15

What is a more efficient way to continue dividing 965 by 6 after finding initial groups?

• Dividing by a different number

• Finding the exact quotient

• Using larger groups like 100

• Subtracting 60 repeatedly

How do you determine the next partial quotient in a division problem?

• By dividing the remainder by 2

• By guessing

• By subtracting the remainder

• By finding a larger group that fits

What is the final quotient when dividing 965 by 6 using partial quotients?

• 165 remainder 0

• 160 remainder 5

• 150 remainder 5

• 170 remainder 5

What is the role of subtraction in the partial quotients method?

• To find the exact quotient

• To reduce the number being divided

• To eliminate the need for multiplication

• To increase the remainder

In the example of dividing 345 by 7, what is the first partial quotient found?

• 10

• 20

• 30

• 40

What is the remainder when 345 is divided by 7 using partial quotients?

• 1

• 4

• 3

• 2