What value divided by 11 equals 1?

To find the answer, just multiply the divisor with the quotient: 11 × 1 = 11

To prove this, let's compute 11 divided by 11: $\frac{11}{11} = 1$

How does it work?

Asking which value divided by 11 gives a result of 1 is equivalent to solving the following equation:

$\frac{x}{11} = 1$

We need to isolate x, so multiply both sides by 11: $\frac{11 x}{11} = 11 \times 1$
$\frac{11 x}{11}$ is equivalent to $\frac{11}{11} x$ , which simplifies to $1 x$ (or just $x$ ).
Thus: $x = 11 \times 1 = 11$

So, if the divisor is 11 and the quotient is 1, the dividend is 11.