What is x when 77 divided by x equals 25?

To find the answer, just divide the dividend by the quotient: 77 ÷ 25 = 3.08

To prove this, let's compute 77 divided by 3.08: $\frac{77}{3.08} = 25$

How does it work?

Asking what the value of x could be when 77 divided by x gives a result of 25, is equivalent to solving the following equation:

$\frac{77}{x} = 25$

Multiply both sides by x: $\frac{77 x}{x} = 25 x$
$\frac{77 x}{x}$ is equivalent to $\frac{x}{x} \times 77$ , which simplifies to $1 \times 77$ (or just $77$ ).
Thus, the equation becomes: $77 = 25 x$
To find x, divide both sides by 25: $\frac{77}{25} = \frac{25 x}{25}$
Which gives, after simplification: $3.08 = x$ (or $x = 3.08$ )

So, if the dividend is 77 and the quotient is 25, the divisor is 3.08.