I don't know about the house, but transferring the vehicle should be fairly straight forward by lodging an MR9 form as normal, but paying special attention to the sale price and date of sale.
1. Download form MR9 (Notification of Change of Ownership) here:
https://www.transport.wa.gov.au/mediaFiles/licensing/LBU_F_VL_MR9_VehicleTransfer.pdf
2. Find out the correct market value for the vehicle. (This needs to be reasonably accurate. If you understate the value, penalties can apply to both of you.)
3. Print the form and fill in everything except for items that the buyer is specifically required to complete. Enter the market value from step 2 for both the "SELLING PRICE" and "DUTIABLE VALUE". (The "DUTIABLE VALUE" determines how much duties your ex will have to pay).
DO NOT fill in the "DATE OF DISPOSAL/PURCHASE" yet.
4. Organise a time to meet with your ex and tell her what it's about. When you meet, fill in the "DATE OF DISPOSAL/PURCHASE" with the current date and give her the red copy of the form along with the rego papers. If your ex refuses to meet, or she agrees to meet but then refuses to accept the documents, then follow the same steps, but put the documents in an envelope and leave them in her letter box. Don't mail them, because there are time limits for both of you from the date of sale.
5. Once you have given/dropped off the documents to your ex, mail your blue copy to DVS immediately (i strongly recommend doing all of this on the same day). Whatever you do, don't mail your copy before giving the ex hers.
The onus is then on your ex to complete the transfer and pay the fees and duties.
If DVS asks any questions about the sale date (unlikely, but it could happen), simply explain that you are divorced; the property settlement is ongoing; and the sale date you provided was
"the date that you agreed to relinquish the vehicle" in relation to the property settlement. In other words, it's the day you decided she can keep the car.
Remember: Even though there was no sale, do not enter zero for the sale price. In these circumstances, DVS requires that you provide an estimate based on if a sale had actually occurred, so enter the market value instead. While the sale price doesn't actually affect anything, it may raise unecessary questions if you enter zero.
As Sammy pointed out, you also need to look at whether or not there is any money owing on the car, as well as any insurance policies. Those issues would need to be dealt with seperately.