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 introducing the concept and then demonstrates how to find products of the divisor to simplify the division process. The tutorial walks through the steps of applying partial quotients to divide a three-digit number by a two-digit number, highlighting the importance of organizing work and calculating accurately. Finally, it explains how to interpret the results, including the quotient and remainder, and confirms the accuracy of the division.

What method is being used to find the quotient of a three-digit number divided by a two-digit number?

• Synthetic division

• Traditional long division

• Method of partial quotients

• Short division

Why is it helpful to find products involving the divisor before using the method of partial quotients?

• To simplify the multiplication process

• To avoid mistakes in subtraction

• To easily determine how many times the divisor fits into the dividend

• To make the division process faster

What is the first partial quotient used when dividing 898 by 38?

• 10

• 15

• 20

• 25

After subtracting 760 from 898, what is the next step in the method of partial quotients?

• Add the partial quotients

• Divide the remainder by 38

• Multiply the remainder by 38

• Find the next partial quotient

What is the final remainder when using the method of partial quotients to divide 898 by 38?

• 24

• 48

• 38

• 12

How many groups of 38 are there in 898 according to the method of partial quotients?

• 23

• 22

• 21

• 24

What is the purpose of summing the partial quotients in the method?

• To find the total number of subtractions

• To determine the final quotient

• To verify the multiplication

• To calculate the final remainder

What does the remainder indicate in the context of the division problem?

• The total number of partial quotients

• The dividend is a multiple of the divisor

• The leftover amount after dividing

• The divisor is a factor of the dividend

What is the result of multiplying the quotient by the divisor and adding the remainder?

• The remainder

• A new quotient

• A new divisor

• The original dividend

What does the method of partial quotients help illustrate about division?

• It provides an exact answer without a remainder

• It simplifies the multiplication process

• It breaks down division into manageable steps

• It eliminates the need for subtraction