What is x when 42 divided by x equals 75?

To find the answer, just divide the dividend by the quotient: 42 ÷ 75 = 0.56

To prove this, let's compute 42 divided by 0.56: $\frac{42}{0.56} = 75$

How does it work?

Asking what the value of x could be when 42 divided by x gives a result of 75, is equivalent to solving the following equation:

$\frac{42}{x} = 75$

Multiply both sides by x: $\frac{42 x}{x} = 75 x$
$\frac{42 x}{x}$ is equivalent to $\frac{x}{x} \times 42$ , which simplifies to $1 \times 42$ (or just $42$ ).
Thus, the equation becomes: $42 = 75 x$
To find x, divide both sides by 75: $\frac{42}{75} = \frac{75 x}{75}$
Which gives, after simplification: $0.56 = x$ (or $x = 0.56$ )

So, if the dividend is 42 and the quotient is 75, the divisor is 0.56.