How do you get shiny Pokemon without cheats?

i think if you catch a Pokemon with a luxury ball wich you find in the abandoned ship and leave it with the day care man in a couple days it evolves. not to its next form but its shiny form

yeah that's not true the way to get a shiny Pokemon is to get lucky ....very lucky the odds to get a shiny are 1 in 8,192 good luck.

never mind that is not true you have to get cheats to catch shiny Pokemon