Exploring Partial Quotient Division Techniques

This video tutorial by Instructor Beats covers the partial quotients division strategy, focusing on dividing a four-digit dividend by a one-digit divisor. The lesson begins with an introduction and objective, followed by a detailed explanation of the steps involved in partial quotient division. Two example problems are solved step-by-step to demonstrate the method. The video concludes with a summary and additional tips for using the strategy effectively.

What is the first step in the partial quotient division strategy?

• Subtract the largest possible multiple from the dividend

• Repeat the process until the remainder is zero

• Place the dividend inside and the divisor outside

• Multiply the divisor by an easy multiple

What does 'H' stand for in the HMSR strategy?

• Hold

• Halve

• How many groups

• Height

What is the purpose of creating an easy multiple sheet?

• To divide the dividend by the divisor directly

• To list possible multiples of the divisor for easy reference

• To assist in subtracting the divisor from the dividend

• To find the exact quotient immediately

What does the 'M' in HMSR stand for?

• Minimize

• Move

• Measure

• Multiply

When do you stop the partial quotient division process?

• When you run out of numbers to subtract

• When the remainder is zero

• After subtracting five times

• When the remainder is less than the divisor

In the example, what was the first chunk taken out from 6768 when divided by 9?

• 4500

• 2700

• 500

• 360

What is the role of the easy multiple sheet in the partial quotient strategy?

• To serve as a cheat sheet for tests

• To calculate the exact quotient without subtraction

• To offer a list of multiples for quick reference during division

• To provide a step-by-step guide for division

What was the final quotient in the division of 4320 by 8?

• 540

• 430

• 320

• 850

Why is it important to understand your basic facts when using the partial quotient strategy?

• Understanding basic facts is only for checking the final answer

• Basic facts are only needed for odd numbers

• It is not important; guessing works just as well

• It helps in making the division process faster and more efficient

How can the partial quotient strategy be described?

• A flexible strategy using basic facts to build the division answer

• A method that requires memorization of all multiplication facts

• A complex method suitable only for advanced students

• A strategy that only works with even numbers