What is x when 97 divided by x equals 76?

To find the answer, just divide the dividend by the quotient: 97 ÷ 76 = 1.2763157894737

To prove this, let's compute 97 divided by 1.2763157894737: $\frac{97}{1.2763157894737} = 76$

How does it work?

Asking what the value of x could be when 97 divided by x gives a result of 76, is equivalent to solving the following equation:

$\frac{97}{x} = 76$

Multiply both sides by x: $\frac{97 x}{x} = 76 x$
$\frac{97 x}{x}$ is equivalent to $\frac{x}{x} \times 97$ , which simplifies to $1 \times 97$ (or just $97$ ).
Thus, the equation becomes: $97 = 76 x$
To find x, divide both sides by 76: $\frac{97}{76} = \frac{76 x}{76}$
Which gives, after simplification: $1.2763157894737 = x$ (or $x = 1.2763157894737$ )

So, if the dividend is 97 and the quotient is 76, the divisor is 1.2763157894737.