Find out the Motherboard for this Laptop and which socket/Chipset it uses for the processor, then google that and find processors which fit that Socket.
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=== Update (06/04/2016) ===
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AMD Turion X2 Ultra ZM-86 2.4GHz processor Is your processor, Buy a new one at https://www.google.co.uk/shopping/product/728095603172089191?sourceid=chrome-psyapi2&ion=1&espv=2&ie=UTF-8&q=AMD+Turion+X2+Ultra+ZM-86+2.4GHz+processor&oq=AMD+Turion+X2+Ultra+ZM-86+2.4GHz+processor&aqs=chrome..69i57.3913j0j4
Find out the Motherboard for this Laptop and which socket/Chipset it uses for the processor, then google that and find processors which fit that Socket.