830$ Gaming PC

You need to tell people websites that you will be ordering from.

Check your seller if they have something like this,

PCPartPicker part list: http://pcpartpicker.com/p/ybX7
Price breakdown by merchant: http://pcpartpicker.com/p/ybX7/by_merchant/
Benchmarks: http://pcpartpicker.com/p/ybX7/benchmarks/

CPU: Intel Core i5-3470 3.2GHz Quad-Core Processor ($149.99 @ Microcenter)
Motherboard: ASRock H77M Micro ATX LGA1155 Motherboard ($69.99 @ Newegg)
Memory: G.Skill Ripjaws Series 8GB (2 x 4GB) DDR3-1600 Memory ($44.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($69.99 @ NCIX US)
Video Card: Asus GeForce GTX 660 Ti 2GB Video Card ($329.99 @ Amazon)
Case: NZXT Vulcan Black MicroATX Mid Tower Case ($69.94 @ Mwave)
Power Supply: Corsair Builder 500W 80 PLUS Bronze Certified ATX12V Power Supply ($51.98 @ Newegg)
Optical Drive: Samsung SH-224BB DVD/CD Writer ($15.99 @ Newegg)
Total: $802.86
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2013-01-17 23:56 EST-0500)

That Ti is a ripoff, 7870 ghz performs the same for $100 cheaper..

PCPartPicker part list: http://pcpartpicker.com/p/yj08
Price breakdown by merchant: http://pcpartpicker.com/p/yj08/by_merchant/
Benchmarks: http://pcpartpicker.com/p/yj08/benchmarks/

CPU: Intel Core i5-3570K 3.4GHz Quad-Core Processor ($189.99 @ Microcenter)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($24.99 @ Newegg)
Motherboard: ASRock Z77 Extreme4 ATX LGA1155 Motherboard ($114.99 @ Microcenter)
Memory: G.Skill Ripjaws Series 8GB (2 x 4GB) DDR3-1600 Memory ($40.98 @ NCIX US)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($69.99 @ NCIX US)
Video Card: XFX Radeon HD 7870 GHz Edition 2GB Video Card ($239.99 @ Newegg)
Case: Cooler Master HAF 912 ATX Mid Tower Case ($49.99 @ NCIX US)
Power Supply: XFX 550W 80 PLUS Bronze Certified ATX12V / EPS12V Power Supply ($53.99 @ NCIX US)
Optical Drive: Samsung SH-224BB DVD/CD Writer ($15.99 @ Newegg)
Total: $800.90
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2013-01-18 18:47 EST-0500)

I know 7870 will perform the same but that would be in 1080p and overclock 7870. But anyway, I can't remember why I first chose 660 ti. When I checked this thread I asked myself why 660 Ti? should have been 7950. And hey, he don't plan to overclock so you can take of those overclock build. Go with something like this,

PCPartPicker part list: http://pcpartpicker.com/p/yHYf
Price breakdown by merchant: http://pcpartpicker.com/p/yHYf/by_merchant/
Benchmarks: http://pcpartpicker.com/p/yHYf/benchmarks/

CPU: Intel Core i5-3470 3.2GHz Quad-Core Processor ($149.99 @ Microcenter)
Motherboard: ASRock H77M Micro ATX LGA1155 Motherboard ($69.99 @ Newegg)
Memory: G.Skill Ripjaws Series 8GB (2 x 4GB) DDR3-1600 Memory ($40.98 @ NCIX US)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($69.99 @ NCIX US)
Video Card: Sapphire Radeon HD 7950 3GB Video Card ($309.99 @ Newegg)
Case: NZXT Vulcan Black MicroATX Mid Tower Case ($69.94 @ Mwave)
Power Supply: Corsair Builder 500W 80 PLUS Bronze Certified ATX12V Power Supply ($51.98 @ Newegg)
Optical Drive: Samsung SH-224BB DVD/CD Writer ($15.99 @ Newegg)
Total: $778.85
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2013-01-20 23:01 EST-0500)

I remember now why first I chose asus, because you said you want a quiet pc, asus is know for the most quiet cooler out there so If you want you can go for asus 7950, but sapphire will also be fine though and also cheaper.

Yes, very nice build. Also another option is the CM Storm Enforcer as it has 2x 200mm fans for quiet airflow