Understanding Partial Quotients in Long Division

The video tutorial explains how to use the method of partial quotients to perform long division. It begins by setting up a division problem with a three-digit dividend and a two-digit divisor. The instructor demonstrates how to organize work by writing known products of the divisor and using them to calculate partial quotients. The process involves subtracting these products from the dividend until the remainder is zero, then summing the partial quotients to find the final quotient. An alternative method using different partial quotients is also shown to verify the result. The tutorial concludes by emphasizing the flexibility of the partial quotients method.

What method is being used to find the quotient in this video?

• Partial quotients

• Synthetic division

• Traditional long division

• Short division

Why is it helpful to write down products of the divisor before starting the division?

• To avoid mistakes in subtraction

• To check the accuracy of the divisor

• To help determine partial quotients

• To make the division process faster

What is the first partial quotient used in the example?

• 20

• 5

• 15

• 10

How many times does 26 fit into 104 according to the video?

• 4 times

• 5 times

• 2 times

• 3 times

What is the final quotient obtained in the example?

• 23

• 25

• 22

• 24

What is the purpose of using different partial quotients in the second method?

• To verify the accuracy of the quotient

• To find a different quotient

• To use fewer steps

• To make the process faster

What is the remainder when 624 is divided by 26 using partial quotients?

• 0

• 1

• 2

• 3

What does the video conclude about the relationship between 24 and 26?

• 26 is a factor of 624

• 26 is a factor of 24

• 24 is a factor of 624

• 24 is a factor of 26

What does the video demonstrate about the flexibility of the partial quotients method?

• It is more accurate than other methods

• It is faster than traditional division

• It allows for different partial quotients to reach the same result

• It requires specific partial quotients

What is the product of 24 and 26 as shown in the video?

• 620

• 600

• 650

• 624