Work continues on the carrier Hoegh Osaka which is moored at Berth 101 at Southampton Port.
The Singapore-registered vessel, which has a cargo of 1,400 cars and 105 pieces of construction equipment, worth an estimated £60 million, was beached deliberately on Bramble Bank sandbank, near Southampton, on January 3 after it began listing as it left port.
A large stone cutter machine weighing more than 30 tonnes was in the way of crews being able to remove other cargo from the ship, which also includes JCB construction equipment.
Once moved, it is likely the other vehicles can be driven off under their own power, a spokesperson from Hoegh Autoliners said.
"It is still too early to say more about the status of the cargo. Once the vehicles have been landed, proper cargo surveys will take place by the cargo owners and their surveyors."
The company hope the discharge operation will be over by the end of the week.
An investigation by the Marine Accident Investigation Branch is underway.
An attempt could be made tomorrow to refloat a car carrier which was deliberately stranded on a sandbank.
It's been revealed the 51,000 tonne car transporter, Heogh Oskar, was in danger of capsizing in one of the UK's busiest shipping lanes.