Hi Diane
An asset transferred as a result of marriage breakdown can be 'rolled-over' for CGT purposes, until the asset is ultimately sold. This rollover can only be accessed if there is a family court order, or a binding financial agreement between yourself and your ex-spouse.
But bear in mind, it is not an exemption, but a rollover. It means the the spouse selling his/her share of the asset does not have to pay CGT, but it is ultimately paid by the spouse who receives the transfer.
Also, the CGT payable on the ultimate sale is based on the cost price of the asset, not the amount paid to the ex-spouse.
eg House Purchased $200,000 1/7/02
Marriage breakdown – transfer of asset $175,000 1/7/06 (paid for half share)
House Sold $420,000 1/7/09
The capital gain is $220,000 ($420,000 sale less $200,000 cost)