Practice Settings

Division Facts Reference

Quick reference for common division facts used in mathematics education.

Dividing by 1

Any number divided by 1 equals itself.

a ÷ 1 = a

Dividing by Itself

Any number divided by itself equals 1.

a ÷ a = 1 (a ≠ 0)

Dividing by 0

Division by zero is undefined.

a ÷ 0 = undefined

Zero Divided

Zero divided by any number equals zero.

0 ÷ a = 0 (a ≠ 0)

Dividing by 10

Move the decimal point one place left.

50 ÷ 10 = 5

Dividing by 2

Half of the number.

14 ÷ 2 = 7

About Division

What is Division?

Division is a mathematical operation that splits a number into equal parts. It's the inverse of multiplication and is essential for mathematics education. Division helps us share equally and solve real-world problems.

Division Terminology

  • Dividend: The number being divided
  • Divisor: The number you divide by
  • Quotient: The result of division
  • Remainder: What's left over

Educational Tips

  • Understand division as repeated subtraction
  • Know your multiplication facts for faster division
  • Practice long division step by step
  • Check answers by multiplying quotient × divisor

Division Properties

  • Division is NOT commutative
  • Division is NOT associative
  • a ÷ 1 = a (Identity)
  • 0 ÷ a = 0 (Zero property)