$R/I$ when $R$ is the ring of real continuous functions If $R$ is the ring of all real continuous functions on $[0,1]$, I am trying to find $R/I$ where
$$I=\{f\in{R}|f(.5)=0\}$$
Showing $I$ is an ideal is not a problem since we're defining addition and multiplication as $$(f+g)(x)=f(x)+g(x).$$ 
$$(fg)(x)=f(x)g(x)$$but I'm trying to identify $R/I$.  I am new to ring theory and i'm having trouble with the math.  What do elements of $R/I$ look like?  I know that Ideals are analogues of normal subgroups in group theory and that normal subgroups are defined as 
$$N=\{a\in{G}|aH=Ha\}$$
where G is a group and H is a subgroup.
This makes sense to me with Ideals but I can't think of this in terms of continuous functions.  

Hint: What is the kernel of the ring homomorphism $R\to \mathbb R$, $f\mapsto f(0.5)$?
