What is x when 77 divided by x equals 97?

To find the answer, just divide the dividend by the quotient: 77 ÷ 97 = 0.79381443298969

To prove this, let's compute 77 divided by 0.79381443298969: $\frac{77}{0.79381443298969} = 97$

How does it work?

Asking what the value of x could be when 77 divided by x gives a result of 97, is equivalent to solving the following equation:

$\frac{77}{x} = 97$

Multiply both sides by x: $\frac{77 x}{x} = 97 x$
$\frac{77 x}{x}$ is equivalent to $\frac{x}{x} \times 77$ , which simplifies to $1 \times 77$ (or just $77$ ).
Thus, the equation becomes: $77 = 97 x$
To find x, divide both sides by 97: $\frac{77}{97} = \frac{97 x}{97}$
Which gives, after simplification: $0.79381443298969 = x$ (or $x = 0.79381443298969$ )

So, if the dividend is 77 and the quotient is 97, the divisor is 0.79381443298969.