A list of licenced asbestos removalists can be found here
https://www.safework.sa.gov.au/licence-and-registration/apply-renew/asbestos
There are two classes of asbestos removalists:
Asbestos-containing materials can be either friable or non-friable. Friable asbestos is high risk. Friable asbestos can be crumbled, pulverised or reduced to a powder by hand pressure.
Non-friable asbestos is lower risk. It is mixed with cement or other hard bonding materials. Non-friable asbestos can become friable if damaged or old.
Asbestos waste must be taken to a licensed transfer station or depot. Check with your local council where the nearest is located or check here asbestos.sa.gov.au.
Asbestos waste must be double bagged using 200-micron thick polythene bags, tied and sealed for disposal.
Remember:
It is illegal to dispose of asbestos waste in domestic bins.
Do not dispose of asbestos during council 'hard rubbish' collections or dump waste illegally.