I believe FireFox, Dolphin, and Opera browsers have text-wrap capabilities either as plug-ins or built in functions that you can turn on. Give them a try. Android 4.4 unfortunately removed the zooming text-wrap.

 

And some websites are written so that text just doesn't wrap. (Meaning that they're poorly written by people who don't understand the technology well enough to be writing websites.)

 

I'll recharge my SG2 and check the settings on the stock Intenet Browser for you later this morning I'm at work and the SG2 is at home right now. I didn't see a text wrap setting in the stock Internet browser on my Note 3. I've been using Boat Browser instead. Text wrap works fine with that browser except on some pages as Rukbat suggested.