Some examples in different tenses would be: "Tomorrow, I am going hiking. It will be my first foray into the countryside this year" "I would like to explore Canada, it would be my first foray into the wilderness" "I am currently making pasta, it is my first foray into home-cooking" "I had never tried Karate, it was my first foray into martial arts"

Thanks @Ammo D and @Michael. I just want to ask for examples outside the dictionary, I mean real life situations when you use that word

As Michael says - it's always a good idea to see what online dictionaries can offer you. Michael - you should post your answer in the "answer this question".