# Carry out the following division: 28x4 ÷ 56x

The four important terms used in the division operation are dividend, divisor, quotient and remainder. The formula to calculate the division of two numbers is:

Dividend ÷ Divisor = Quotient + Remainder.

Here,

• The dividend is the number, which is being divided
• The divisor is the number, which divides the number (dividend) into equal parts
• The quotient is the result of the division operation
• The remainder is the leftover number in the division operation.

## 28x4 ÷ 56x

$$\frac{28x^{4}}{56x}$$

⇒ $$\frac{28}{56} \times \frac{x^{4}}{x}$$

We know that $$\frac{a^{m}}{a^{n}}= a^{m-n}$$

⇒ $$\frac{1}{2}\times x^{4 – 1}$$

⇒ $$\frac{1}{2}x^{3}$$

28x4 ÷ 56x = 1/2 x3