Section 1
Finding the Number of Groups
Property
Division can be used to find the number of groups when you know the total amount and the size of each group. The equation is:
In this Grade 4 enVision Mathematics lesson from Chapter 5, students learn how to divide by finding partial quotients, breaking a division problem into smaller, more manageable steps using estimation, multiplication, and place value. Students practice subtracting partial quotients repeatedly until no remainder is left, then adding those partial quotients to find the full quotient. The lesson also connects partial quotients to the Distributive Property, showing how dividing a number broken into parts yields the same result.
Section 1
Finding the Number of Groups
Division can be used to find the number of groups when you know the total amount and the size of each group. The equation is:
Section 2
Decomposing the Dividend with the Distributive Property
To solve a division problem, you can decompose the dividend into two addends that are both evenly divisible by the divisor.
Section 3
Finding Quotients and Remainders
When a whole number (the dividend) cannot be evenly divided by another whole number (the divisor), the result is a quotient and a remainder.
The remainder is the amount left over and must be less than the divisor.
The relationship is:
The quotient is with a remainder of , written as .
The quotient is with a remainder of , written as .
To divide whole numbers using long division, follow the divide, multiply, subtract, and bring down steps. If you have a non-zero number left after the final subtraction step and no more digits to bring down, that number is the remainder. The remainder represents the part of the dividend that is left over after creating as many equal groups as possible. Always make sure the remainder is smaller than the divisor.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter
Expand to review the lesson summary and core properties.
Section 1
Finding the Number of Groups
Division can be used to find the number of groups when you know the total amount and the size of each group. The equation is:
Section 2
Decomposing the Dividend with the Distributive Property
To solve a division problem, you can decompose the dividend into two addends that are both evenly divisible by the divisor.
Section 3
Finding Quotients and Remainders
When a whole number (the dividend) cannot be evenly divided by another whole number (the divisor), the result is a quotient and a remainder.
The remainder is the amount left over and must be less than the divisor.
The relationship is:
The quotient is with a remainder of , written as .
The quotient is with a remainder of , written as .
To divide whole numbers using long division, follow the divide, multiply, subtract, and bring down steps. If you have a non-zero number left after the final subtraction step and no more digits to bring down, that number is the remainder. The remainder represents the part of the dividend that is left over after creating as many equal groups as possible. Always make sure the remainder is smaller than the divisor.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter