How and why did the spanish, portuguese, french, and british build colonies in the americas

They were all discovered by people exploring the world to find more land for their nation. When they would find more land, they would claim it for their nation and they would also fight other nations to get more property. 

⍢⃝━☆ﾟ. ҉*･ɱ૯ՐՐע ८ҺՐɿς੮ɱคς ҉*:.｡~₍⁽ˆᵕˆ⁾₎~

England encouraged immigration from other nations 

On april 20, 1814, the dethroned emperor left france for the isle of  elba, where he was exiled under the terms of the treaty of fontainebleau.napoleon  would be allowed to ruleelba, which had 12,000 inhabitants. perhaps cruelly, the treaty allowed him to retain the title "emperor."