Enable Automatic Spelling Correction from Chrome Flag
Open Chrome browser and type chrome://flags and the try search for the Enable Automatic Spelling Correction option. Enable this option and then re-launch the browser.
Now try how it works.
For me, it was working fine. But this is the experimental featur and may have some ill effect in your browser. So, you should take care of this and disable if you find something wrong with the browser after enabling the feature.
There are also few browser extensions which also bring similar kind of features.
Share your views about this feature with us via comments.