Re-Spooling

[d-el]

So I decided to try out braided line for the first time, and made a crucial mistake. I tied the braid directly to my spool, and it appears that the entire line slips on the spool.

I google'd the problem, and it appears that a mono backing will prevent the slippage. So my question is, what is the best way to get that brandy new braided line off so that I can put on the initial layer of mono? It seems like unwinding all 125 yards of it into a pile on the floor isn't a great idea. But is it my only option?