What is x when 66 divided by x equals 67?

To find the answer, just divide the dividend by the quotient: 66 ÷ 67 = 0.98507462686567

To prove this, let's compute 66 divided by 0.98507462686567: $\frac{66}{0.98507462686567} = 67$

How does it work?

Asking what the value of x could be when 66 divided by x gives a result of 67, is equivalent to solving the following equation:

$\frac{66}{x} = 67$

Multiply both sides by x: $\frac{66 x}{x} = 67 x$
$\frac{66 x}{x}$ is equivalent to $\frac{x}{x} \times 66$ , which simplifies to $1 \times 66$ (or just $66$ ).
Thus, the equation becomes: $66 = 67 x$
To find x, divide both sides by 67: $\frac{66}{67} = \frac{67 x}{67}$
Which gives, after simplification: $0.98507462686567 = x$ (or $x = 0.98507462686567$ )

So, if the dividend is 66 and the quotient is 67, the divisor is 0.98507462686567.