Exploring Partial Quotients in Division

The video tutorial explains how to use partial quotients to divide numbers. It begins with estimating the product of the divisor and a number close to the dividend, subtracting to find the remainder, and repeating the process until the remainder is less than the divisor. The partial quotients are then added to find the final quotient, and the remainder is noted. The tutorial also includes a verification step to ensure the division is correct by multiplying the quotient by the divisor and adding the remainder to match the original dividend.

What is the first step in dividing using partial quotients?

• Estimate a multiplication close to the dividend

• Subtract the divisor from the dividend

• Add the divisor to the dividend

• Divide the dividend by the divisor directly

What is the remainder when dividing 195 by 12?

• 2

• 4

• 5

• 3

What partial quotients do we get when dividing 195 by 12?

• 9, 4, and 1

• 15, 7, and 3

• 12, 6, and 2

• 10, 5, and 1

How many times does 12 fit into 195 without going over?

• 17 times

• 14 times

• 15 times

• 16 times

How do we check the correctness of our division?

• Multiply the quotient by the divisor and add the remainder

• Add the quotient to the divisor

• Subtract the remainder from the quotient

• Divide the dividend by the quotient

What is the final step after finding all partial quotients?

• Multiply the last partial quotient by the divisor

• Subtract the last remainder from the last partial quotient

• Add all the partial quotients together

• Divide the dividend by the total of partial quotients

What is the first estimate used when dividing 577 by 6?

• 6 times 90

• 6 times 100

• 6 times 95

• 6 times 85

What is the quotient when dividing 577 by 6?

• 94

• 97

• 96

• 95

What is the remainder when dividing 577 by 6?

• 3

• 0

• 2

• 1

How do we verify the result of a division using partial quotients?

• By dividing the quotient by the divisor

• By multiplying the quotient by the divisor and adding the remainder

• By subtracting the remainder from the dividend

• By adding the divisor to the quotient