In this Grade 4 enVision Mathematics lesson from Chapter 5, students learn how to use partial quotients to divide greater dividends, including 3- and 4-digit numbers, by a 1-digit divisor. The method relies on estimation, place value, and the relationship between multiplication and division to break the problem into manageable steps until the remainder is less than the divisor. Practice problems guide students from dividing numbers like 277 ÷ 5 up to 4-digit dividends such as 1,968 ÷ 6.
Section 1
Representing Division with an Area Model
In an area model for division, the dividend is the total area, the divisor is a known side length, the quotient is the other side length, and the remainder consists of leftover units that do not form a complete rectangle. This is represented by the equation:
Section 2
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.
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Section 1
Representing Division with an Area Model
In an area model for division, the dividend is the total area, the divisor is a known side length, the quotient is the other side length, and the remainder consists of leftover units that do not form a complete rectangle. This is represented by the equation:
Section 2
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.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter