What is x when 97 divided by x equals 34?

To find the answer, just divide the dividend by the quotient: 97 ÷ 34 = 2.8529411764706

To prove this, let's compute 97 divided by 2.8529411764706: $\frac{97}{2.8529411764706} = 34$

How does it work?

Asking what the value of x could be when 97 divided by x gives a result of 34, is equivalent to solving the following equation:

$\frac{97}{x} = 34$

Multiply both sides by x: $\frac{97 x}{x} = 34 x$
$\frac{97 x}{x}$ is equivalent to $\frac{x}{x} \times 97$ , which simplifies to $1 \times 97$ (or just $97$ ).
Thus, the equation becomes: $97 = 34 x$
To find x, divide both sides by 34: $\frac{97}{34} = \frac{34 x}{34}$
Which gives, after simplification: $2.8529411764706 = x$ (or $x = 2.8529411764706$ )

So, if the dividend is 97 and the quotient is 34, the divisor is 2.8529411764706.