Partial Quotient Method in Division

The video tutorial demonstrates the partial quotient method for long division using a complex example of dividing 9,873,952 by 291. The instructor explains the process of approximating quotients by calculating multiples of 291, performing subtraction, and borrowing. The tutorial concludes with the final quotient and remainder, showcasing the method's effectiveness in handling large numbers.

What is the first step in setting up a division problem using the partial quotient method?

• Calculate the remainder

• Subtract the smallest multiple

• Identify the divisor and dividend

• Estimate the quotient

Why is it useful to calculate multiples of the divisor in the partial quotient method?

• To avoid any remainder

• To use them as approximation tools

• To simplify the subtraction process

• To find the exact quotient

What is the result of multiplying 291 by 3?

• 2,910

• 291

• 1,746

• 873

In the initial division steps, what is the first large multiple of 291 used?

• 873,000

• 291,000

• 1,746,000

• 2,910,000

What is the purpose of subtracting the largest possible multiple of the divisor from the dividend?

• To increase the remainder

• To find the exact quotient

• To simplify the divisor

• To reduce the dividend

During the division process, what is done if the current multiple is too large?

• Add more zeros

• Choose a smaller multiple

• Increase the divisor

• Skip the step

What is the next step after subtracting a multiple of the divisor from the dividend?

• Multiply the result by 10

• Divide the remainder by the divisor

• Regroup and borrow if necessary

• Add the remainder to the quotient

How do you determine the final quotient in the partial quotient method?

• By adding all the partial quotients

• By dividing the dividend by the divisor

• By subtracting the remainder from the dividend

• By multiplying the divisor by the remainder

What is the remainder when 291 is divided into 9,873,952 using the partial quotient method?

• 0

• 291

• 873

• 31

How many times does 291 go into 9,873,952 using the partial quotient method?

• 33,931 times

• 33,000 times

• 34,000 times

• 32,931 times