What is x when 28 divided by x equals 7?

To find the answer, just divide the dividend by the quotient: 28 ÷ 7 = 4

To prove this, let's compute 28 divided by 4: $\frac{28}{4} = 7$

How does it work?

Asking what the value of x could be when 28 divided by x gives a result of 7, is equivalent to solving the following equation:

$\frac{28}{x} = 7$

Multiply both sides by x: $\frac{28 x}{x} = 7 x$
$\frac{28 x}{x}$ is equivalent to $\frac{x}{x} \times 28$ , which simplifies to $1 \times 28$ (or just $28$ ).
Thus, the equation becomes: $28 = 7 x$
To find x, divide both sides by 7: $\frac{28}{7} = \frac{7 x}{7}$
Which gives, after simplification: $4 = x$ (or $x = 4$ )

So, if the dividend is 28 and the quotient is 7, the divisor is 4.