Yes, you should be able to build a system with a Core i5 4690k, GTX 970, and 8GB ram for $800. Maybe even 16GB of ram, but 8Gb is really all you need for games. That should run any modern game no problem.

ETA: could probably even step up to the 6600k but that might be tricky to do for $800 since the DDR4 ram costs more than DDR3 does for the 4690k. There's not a huge performance difference between the processors.

That might be tough...970's are about $300+, and the i5 4690k is about $240...

So Already we're at $540, - $80ish for a motherboard, -$50 for a 1tb HDD(forget about an SSD in this price range...can grab one later), -60ish for a PSU, -$35ish for 8 gig stick of RAM, that leaves you with $34 for a case...which can be done, but that's not going to be fun.

With a non-k processor and a cheaper H chipset board, you might be able to squeeze a 120gig SSD in with a cheap case but you'll be very limited on how many games you can download and will run out of space fairly quickly...

Here's something:  No overclocking, and you could save money on the PSU by going with something of lesser quality..but I won't mess with the cheap PSU's personally...

PCPartPicker part list: http://pcpartpicker.com/p/fCBdjX
Price breakdown by merchant: http://pcpartpicker.com/p/fCBdjX/by_merchant/

CPU: Intel Core i5-4690 3.5GHz Quad-Core Processor  ($218.88 @ OutletPC)
Motherboard: ASRock H97M PRO4 Micro ATX LGA1150 Motherboard  ($77.88 @ OutletPC)
Memory: Corsair Vengeance 8GB (1 x 8GB) DDR3-1600 Memory  ($34.88 @ OutletPC)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive  ($48.77 @ OutletPC)
Video Card: EVGA GeForce GTX 970 4GB ACX 2.0 Video Card  ($303.98 @ Newegg)
Case: Fractal Design Core 1100 MicroATX Mini Tower Case  ($39.99 @ NCIX US)
Power Supply: SeaSonic S12II 520W 80+ Bronze Certified ATX Power Supply  ($58.99 @ B&H)
Total: $783.37
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-04-27 13:01 EDT-0400

I went with i5-6500 $200 and fry's lists occasionally for $180.
Gtx 960 4gb $200
8gb ddr 4 2100 $70
Ssd 240gb $60
Corsair power supply 400watt $40
Case $50
Western digital 1gb HD $60
Keyboard/mouse $20 - get a wired setup as cordless does lag
Used current tv for a monitor
Mother board about $90

Look on new egg for parts.

A few things.

I would be reluctant to build a computer at the present time with the release of next gen Nvidia (Pascal) and AMD (arctic islands) expected this summer.  Both will be significant improvements over the current offerings over what nvidia/amd offers today.

While $800 can get you a decent computer (tower), you can get a lot more with a slight increase in budget to ~$1000.

So for something in that price range today, I would do something like this:

https://pcpartpicker.com/parts/partlist/

since you live in va, you can get the cpu from microcenter:

http://www.microcenter.com/product/451887/Core_i5-6500_32GHz_LGA_1151_Boxed_Processor

But as I stated, I would hold off till later this year before building anything.

This what I built for a friend on a limited budget about the 1st of December 2016.  There is not a Video card listed do to me finding a using Nivida 770 for $50.  The SSD is a re-branded Samsung and it looks like they are now pricing as such.





Intel Boxed Core I5-6500 FC-LGA14C 3.20 Ghz 6 M Processor Cache 4 LGA 1151 BX80662I56500  $200

http://www.amazon.com/Intel-I5-6500-FC-LGA14C-Processor-BX80662I56500/dp/B010T6CWI2



Asus Motherboard ATX - LGA1151 Socket - Z170 Z170-P D3  $120

http://www.amazon.com/Asus-Motherboard-ATX-LGA1151-Socket/dp/B0126R2T44



Corsair Vengeance Pro Series 16GB (2 x 8GB) DDR3 DRAM 2400MHz C11 Memory Kit (CMY16GX3M2A2400C11A)  $70

http://www.amazon.com/Corsair-Vengeance-2400MHz-Memory-CMY16GX3M2A2400C11A/dp/B00FMRV8I4



Eluktro Pro-X Performance 256GB AHCI TRO-PCIe256GBPRO-X M.2 80mm PCIe 3.0 x4 SSD by Eluktronics  these were $100 now showing $180

http://www.amazon.com/Eluktro-Pro-X-Performance-TRO-PCIe256GBPRO-X-Eluktronics/dp/B010800PYM



Corsair Carbide Series Black 300R Mid-Tower Computer Case (CC-9011014-WW)   $70

http://www.amazon.com/Corsair-Carbide-Mid-Tower-Computer-CC-9011014-WW/dp/B006I2H0YS



EVGA SuperNOVA 650 G2 80 Plus Gold Rated, Fully Modular ATX 12V/EPS 12V ECO Mode Power Supply 220-G2-0650-Y1  $90

http://www.amazon.com/EVGA-SuperNOVA-Modular-Supply-220-G2-0650-Y1/dp/B0106RDIN2

I get low memory warnings on my 12GB system running The Division and a few browser windows sometimes.

The Division seems to have memory management issues, I've heard of people with 16GB of RAM still having the same issue. 8GB is the recommended amount of RAM according to the developer.