What is x when 49 divided by x equals 14?

To find the answer, just divide the dividend by the quotient: 49 ÷ 14 = 3.5

To prove this, let's compute 49 divided by 3.5: $\frac{49}{3.5} = 14$

How does it work?

Asking what the value of x could be when 49 divided by x gives a result of 14, is equivalent to solving the following equation:

$\frac{49}{x} = 14$

Multiply both sides by x: $\frac{49 x}{x} = 14 x$
$\frac{49 x}{x}$ is equivalent to $\frac{x}{x} \times 49$ , which simplifies to $1 \times 49$ (or just $49$ ).
Thus, the equation becomes: $49 = 14 x$
To find x, divide both sides by 14: $\frac{49}{14} = \frac{14 x}{14}$
Which gives, after simplification: $3.5 = x$ (or $x = 3.5$ )

So, if the dividend is 49 and the quotient is 14, the divisor is 3.5.