Dividing is the process of splitting a number into equal parts or groups. It is the opposite of multiplication. When we divide one number by another, we are finding out how many times the second number can fit into the first number.

**Dividend:**The number being divided.**Divisor:**The number by which the dividend is divided.**Quotient:**The result of the division.**Remainder:**The amount left over when the dividend is not perfectly divisible by the divisor.

- Place the dividend inside the long division symbol (÷) and the divisor outside the symbol.
- Divide the leftmost digit of the dividend by the divisor. Write the quotient above the dividend.
- Multiply the divisor by the quotient and write the result below the dividend.
- Subtract the result from the dividend and bring down the next digit.
- Repeat the process until there are no more digits to bring down, or until the remainder is zero.

463 ----- 7 | 3221 28 ----- 22 21 ----- 1

Divisibility rules are helpful shortcuts to determine if a number can be divided evenly by another number without actually performing the division.

**2:**A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8).**3:**A number is divisible by 3 if the sum of its digits is divisible by 3.**5:**A number is divisible by 5 if its last digit is 0 or 5.**10:**A number is divisible by 10 if it ends in 0.

- Divide 648 by 9.
- Find the quotient and remainder when 357 is divided by 6.
- Determine if 4,893 is divisible by 3.

Remember, practice is key to mastering division. Try to solve as many problems as you can to strengthen your skills!

Good luck with your division studies!

Study GuideAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Grade 6 Curriculum Focal Points (NCTM)

Algebra: Writing, interpreting, and using mathematical expressions and equations

Students write mathematical expressions and equations that correspond to given situations, they evaluate expressions, and they use expressions and formulas to solve problems. They understand that variables represent numbers whose exact values are not yet specified, and they use variables appropriately. Students understand that expressions in different forms can be equivalent, and they can rewrite an expression to represent a quantity in a different way (e.g., to make it more compact or to feature different information). Students know that the solutions of an equation are the values of the variables that make the equation true. They solve simple one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. They construct and analyze tables (e.g., to show quantities that are in equivalent ratios), and they use equations to describe simple relationships (such as 3x = y) shown in a table.