What is x when 25 divided by x equals 4?

To find the answer, just divide the dividend by the quotient: 25 ÷ 4 = 6.25

To prove this, let's compute 25 divided by 6.25: $\frac{25}{6.25} = 4$

How does it work?

Asking what the value of x could be when 25 divided by x gives a result of 4, is equivalent to solving the following equation:

$\frac{25}{x} = 4$

Multiply both sides by x: $\frac{25 x}{x} = 4 x$
$\frac{25 x}{x}$ is equivalent to $\frac{x}{x} \times 25$ , which simplifies to $1 \times 25$ (or just $25$ ).
Thus, the equation becomes: $25 = 4 x$
To find x, divide both sides by 4: $\frac{25}{4} = \frac{4 x}{4}$
Which gives, after simplification: $6.25 = x$ (or $x = 6.25$ )

So, if the dividend is 25 and the quotient is 4, the divisor is 6.25.