Division

Division is the process of splitting a number into equal parts. It is the opposite of multiplication. In division, we have a dividend, a divisor, and a quotient. The dividend is the number being divided, the divisor is the number by which we divide, and the quotient is the result of the division.

For example, when we divide 12 by 3:

Here, 12 is the dividend, 3 is the divisor, and 4 is the quotient.

Division Terminology

When learning about division, it's important to understand the following terms:

Dividend: The number being divided.
Divisor: The number by which we divide.
Quotient: The result of the division.
Remainder: The amount left over when the dividend is not completely divisible by the divisor.
Divisibility: The ability of a number to be divided by another number without leaving a remainder.

Division Methods

There are different methods for performing division:

Long Division: This is a method for dividing larger numbers. It involves writing out the dividend, divisor, and quotient, and then performing the division step by step.
Short Division: This method is used for dividing by single-digit divisors. It's a quicker method than long division.
Repeated Subtraction: In this method, we subtract the divisor from the dividend repeatedly until we reach zero or a remainder.

Division Rules

When working with division, it's important to remember the following rules:

Division by zero: Division by zero is undefined. It is not possible to divide a number by zero.
Divisibility rules: These rules help determine if a number is divisible by another number without actually performing the division. For example, a number is divisible by 2 if its last digit is even.
Order of operations: Division is performed after parentheses, exponents, and multiplication in the order of operations.