Thank you for your question. First, note that all parts of the fig tree (Ficus carica) contain a latex that is a skin irritant, so the wood is toxic. The sap is also an eye irritant. It is listed in the FDA Poisonous Plants database. Second, it is reported as being toxic to cats and dogs, although this variety of fig is not listed in the ASPCA toxic plant list, unlike another member of the Ficus species, the ornamental weeping fig (Ficus benjamina). So, I would suggest you either burn it outdoors, using gloves to transport it, or put it in the trash. Adding it to the compost bin will only make it an element of mulch in others' yards. I hope this is helpful. Good luck!