Go to lavender town, go to left and get to the route to get to celadon and saffreron city, on the way you will see a big graassy area that needs you to cut trees to get inside, go to the middle and look until you find a growlithe boy or girl, girls are harder to get, train to the level you want hen buy a fire stone , use it on the growlithe and you have got your self a arcanine!!!!

p.s. i caught mine there at level 15 and the quickest way to train is the cycling road od day care place near cerulean city