1. The problem is to understand how to divide numbers. 2. Division is the process of splitting a number into equal parts or groups. 3. The formula for division is $$\text{Dividend} \div \text{Divisor} = \text{Quotient}$$ where the dividend is the number to be divided, the divisor is the number you divide by, and the quotient is the result. 4. Important rules: - Dividing by zero is undefined. - Division is the inverse operation of multiplication. 5. Example: Divide 12 by 3. 6. Using the formula: $$12 \div 3 = ?$$ 7. We find how many times 3 fits into 12. 8. Since $$3 \times 4 = 12$$, then $$12 \div 3 = 4$$. 9. If you have a fraction like $$\frac{a}{b} \div \frac{c}{d}$$, you multiply by the reciprocal: $$\frac{a}{b} \times \frac{d}{c}$$. 10. For example, $$\frac{2}{3} \div \frac{4}{5} = \frac{2}{3} \times \frac{5}{4} = \frac{2 \times 5}{3 \times 4} = \frac{10}{12}$$. 11. Simplify $$\frac{10}{12}$$ by canceling common factors: $$\frac{\cancel{10}}{\cancel{12}} = \frac{5}{6}$$. 12. So, $$\frac{2}{3} \div \frac{4}{5} = \frac{5}{6}$$. Division helps us split quantities evenly or find how many groups fit into a number.