How to use Floating Point Multiplication Algorithm?

I need some help on a program using Floating Point Multiplication and I am fairly new to spim assembly language.   Using two signed numbers how do you multiply them using the floating point multiplication algorithm?  I know there is the mul instruction however, I wanted to know how this process actualyl works.
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The mul instruction only works on integer values. To do floating-point arithmetic, you will have to utilize the FPU, or one of its successors (MMX, SSE, SSE2, SSE3). Here is some simple code:

num1    dd    1.5
num2    dd    2.5
num3    dd    0

fld    num1    ;load 1.5 into the FPU stack
fmul    num2    ;multiply and replace the top of the stack by 2.5
fstp    num3    ;pop the stack, storing the top value of 1.5 x 2.5 in num3

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