What is x when 75 divided by x equals 48?

To find the answer, just divide the dividend by the quotient: 75 ÷ 48 = 1.5625

To prove this, let's compute 75 divided by 1.5625: $\frac{75}{1.5625} = 48$

How does it work?

Asking what the value of x could be when 75 divided by x gives a result of 48, is equivalent to solving the following equation:

$\frac{75}{x} = 48$

Multiply both sides by x: $\frac{75 x}{x} = 48 x$
$\frac{75 x}{x}$ is equivalent to $\frac{x}{x} \times 75$ , which simplifies to $1 \times 75$ (or just $75$ ).
Thus, the equation becomes: $75 = 48 x$
To find x, divide both sides by 48: $\frac{75}{48} = \frac{48 x}{48}$
Which gives, after simplification: $1.5625 = x$ (or $x = 1.5625$ )

So, if the dividend is 75 and the quotient is 48, the divisor is 1.5625.