Dharma,
BRILLO will kill your cast iron! NEVER!! EVER!! or any soap!
Ifyou have anything that sticks, it is NOT seasoned right!(or you are cooking at too high a temp. or not using enough oil/fat while cooking)...
You need to season your cast iron! and keep it seasoned!
Lightly coat with vegetable oil...
put in the oven, and then start oven for 300F...
for about two hours... shut off the oven til itis cold...
and then, forever,NEVER use anything to clean it, except maybe some coarse salt and water...
It will then get a patina that is better than the BEST Teflon you'll ever find!
I only clean mine with a paper towel... everything just slides off the pan/dutch oven...
and always lightly oil any cast iron before storing...
My Fry Pan & my Dutch Oven were both from my grandmother...
and she got them from her mother... so they are both at least 125 years old! NOTHING EVER STICKS to them!

I can cook two eggs, with one tsp. butter, in the fry pan or dutch oven... and they will just slide out... paper towel to clean...

a well sesoned cast iron pan will be black, and smooth, and have no metal showing!
if it is stored and gets any hint of rust... it has lost the seasonng!

use Kosher Salt and hot water to scour ONLY! then lightly oil...

Here's a good article from LODGE:
http://www.lodgemfg.com/use-care-seasoned-cast-iron.asp


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