How Do You Apply Kirchhoff's Rules to a Series Circuit with Multiple Resistors?

[Elbobo]

Homework Statement

http://img165.imageshack.us/img165/3182/73661395nq3.jpg
http://g.imageshack.us/img165/73661395nq3.jpg/1/

Homework Equations

V = IR

The Attempt at a Solution

I got the first part right, but the second part eludes me.

V = IR
I = V/R
I = 46.3 / 7.05
I = 6.567375887 A

Which seems way too simple and wrong anyway.
I'm not really sure how to analyze the voltage or the current when it splits at the 1.75 and 7.05 ohm junction. How would I apply Kirchoff's rules here?

 

[Carid]

Arriving at that junction the current sees a 7.05 Ohm resistor (R1) and a resistance RAB (R2) which you calculated already.
So the current will split as I1*R1 = I2*R2
You know R1 and R2.
You know I1 + I2 = TotalCurrent.
And you know TotalCurrent = Voltage/RAB