How to get rid of suggested websites on the iPhone?

I deleted my history, but it really does no good because every time I type a letter some website that I previously visited displays its address.

Clear your cookies…

Settings > Safari > Clear Cookies

The best way to do this:
On your iPhone open Settings, scroll down to Safari. Click and scroll down.
Click on Clear History, (confirmation screen will show, confirm by click Clear History), now, Click on Clear Cookies and Data, (same confirmation screen).
Scroll all the way to the bottom on the same screen, and click Advanced. There you will find 3 tabs. Click on the first: Website Data. Here you will see a lot of webpages and the amount of cache stored on your phone. If you do not have anything, exit the settings and you should be good, if not scroll down and you will see red sign: Remove all Website Data. Click and confirmation screen will show in red: Remove Now. Click… Exit the Settings, and you should be good now.