In this Grade 4 Pengi Math lesson, students learn two key division methods: the partial quotients strategy, which uses friendly multiples and place value reasoning, and the standard long division algorithm using the Divide, Multiply, Subtract, Bring Down steps. Students practice applying both approaches to solve problems with dividends up to four digits. This lesson is part of Chapter 4: Multiplication & Division Strategies and builds fluency by connecting division procedures to known multiplication facts.
Section 1
Applying the Partial Quotients Algorithm
To find the final quotient using the partial quotients method, add all the individual partial quotients together.
The process is complete when the remaining dividend is less than the divisor.
Section 2
Executing the Standard Algorithm for Three-Digit Division
The standard algorithm for division is a step-by-step process to find a quotient and a remainder. The relationship is defined by: .
Section 3
Standard Algorithm for Long Division with Four-Digit Dividends
To perform long division, we systematically divide the dividend by the divisor, place value by place value, from left to right. The relationship between the parts of a division problem is given by:
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Section 1
Applying the Partial Quotients Algorithm
To find the final quotient using the partial quotients method, add all the individual partial quotients together.
The process is complete when the remaining dividend is less than the divisor.
Section 2
Executing the Standard Algorithm for Three-Digit Division
The standard algorithm for division is a step-by-step process to find a quotient and a remainder. The relationship is defined by: .
Section 3
Standard Algorithm for Long Division with Four-Digit Dividends
To perform long division, we systematically divide the dividend by the divisor, place value by place value, from left to right. The relationship between the parts of a division problem is given by:
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter