1. The problem is to find the value of $x$ that makes the equation $$42 \div x = 14$$ true. 2. The formula used here is the division equation: $$\frac{42}{x} = 14$$. 3. To solve for $x$, multiply both sides of the equation by $x$ to get rid of the denominator: $$\cancel{x} \times \frac{42}{\cancel{x}} = 14x$$ which simplifies to $$42 = 14x$$. 4. Now, divide both sides by 14 to isolate $x$: $$\frac{42}{\cancel{14}} = \frac{14x}{\cancel{14}}$$ which simplifies to $$3 = x$$. 5. Therefore, the value of $x$ that satisfies the equation is $\boxed{3}$.