Hi,
Turning itself off due to overheating is the way it protects itself.
But overheatring can also damage the Hardware.
Games can be Hardware intensive (Graphics, etc) and your problem would seem to be from a combination of the particular Games and a dust buildup in your Laptop
Check the vents for dust, hair, etc and do not use a Laptop when it is resting on material surfaces: bedspreads, blankets, etc.
If the problem persists, as it is a Laptop, take it to a local and reliable Computer Repair Shop and get them to open it up and clean the dust from inside it..
Here is an interesting discussion about the varied reasons for your problem:
http://pc-trickandsolution.blogspot.com.au/2011/07/fix-laptop-overheating-shutdown-problem.html
N.B> However 9 out of 10 cases of overheating are caused by an airflow blockage.
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Review safe operating temperatures:
"What should be the temperature of my computer processor?"
http://www.computerhope.com/issues/ch000687.htm
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See if this assists you, if the Toshiba Recovery partition is still intact:
http://www.mytoshiba.com.au/support/items/faq/776
To access the System Restore, Refresh and Reset options using the F12 option at start up, perform the following:
- If not already, ensure the computer is completely shut down.
- Now restart the computer by pressing the power button - IMMEDIATELY start tapping the F12 key on the keyboard until the "Boot Menu" screen appears.
- Using the arrow keys, select <HDD Recovery> and press "Enter".
- On the next screen you are asked to confirm if you want to continue with recovery. Select "Yes".
- The computer will bring you to the Advanced start up screen.
- Select Troubleshoot. Under Troubleshoot you will see “Refresh” and “Reset”.
- Select “Advanced options.” Located here is "System Restore."
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Or make your own Recovery Media from the Toshiba Recovery partition:
"How to create recovery media to be used to reset your computer back to factory settings?"
http://www.mytoshiba.com.au/support/items/faq/69
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If the Recovery partition is not intact, make your own Windows 8.1 DVD or USB Key to use to reinstall:
"Create installation media for Windows 8.1"
http://windows.microsoft.com/en-us/windows-8/create-reset-refresh-media
A similar Tutorial which may also assist you.
"Create Installation Media for Windows 8.1"
http://winsupersite.com/windows-8/create-installation-media-windows-81
In the first screen of this very simple wizard, you need to choose the following:
Language. English – en-us if you're in the United States.
Edition. Windows 8.1 (Core), Windows 8.1 N, Windows 8.1 Pro, Windows 8.1 Pro N, or Windows 8.1 Single Language.
Architecture. 64-bit (x64 ) or 32-bit (x86).
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"How to Create a Bootable USB or DVD with a Windows 8 or 8.1 ISO"
http://www.eightforums.com/tutorials/2227-create-bootable-usb-dvd-windows-8-iso.html
Warning
This will not work to install Windows 8 or 8.1 for UEFI. For that, see this tutorial below instead.
UEFI Bootable USB Flash Drive - Create in Windows
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With Windows 8/8.1 The Product Key on preinstalled Operating Systems (HP, Acer, etc) is embedded in the BIOS in the Motherboard, so that the lost and/or worn C.O.A. Sticker problem is no more.
When you reinstall it will pick up the Product Key and activate the system automatically.
If it does not, follow these steps:
"How to Activate Windows 8 and 8.1 by Phone"
http://www.eightforums.com/tutorials/24636-activate-windows-8-phone.html
"Get help with activation errors"
http://windows.microsoft.com/en-us/windows-8/activation-errors
"How to activate a Microsoft product by using Microsoft Product Activation Center"
http://support.microsoft.com/kb/950929/en-us
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This information may interest you if you do wish to keep a record of it:
"Windows 10 Embedded Product Key Tool"
https://neosmart.net/blog/2014/windows-10-embedded-product-key-tool/
"We’re proud to introduce the immediate release of our newest utility for Windows users: the NeoSmart Technologies Embedded Product Key Tool. Designed for users of Windows 7, Windows 8, and Windows 10, our embedded product key tool will retrieve and display the Windows setup product key embedded in the BIOS or EFI, allowing you to store it for safe-keeping or use it to reinstall Windows with an official Windows setup image."
Cheers.