GitHub Laravel App Sync

I just created a Laravel App (I'm completely new to Laravel and also don't have so much experience with Git(Hub)).

I created it locally on my computer with the composer require "laravel/installer"command and then ran composer create-project. I also added authentification with new table rows (migration) etc, downloaded some things and e.g. donwloaded another language pack.

Now I uploaded everything to GitHub, except the things that are in .gitignore (that looks like the following):

# Created by .ignore support plugin (hsz.mobi)
### Laravel template
vendor/
node_modules/

# Laravel 4 specific
bootstrap/compiled.php
app/storage/

# Laravel 5 & Lumen specific
bootstrap/cache/
.env.*.php
.env.php
.env

# Rocketeer PHP task runner and deployment package. http://ift.tt/1lbY59l
.rocketeer/
### Composer template
composer.phar
/vendor/

# Commit your application's lock file http://ift.tt/2eCed2L
# You may choose to ignore a library lock file http://ift.tt/2eqsHHG
# composer.lock
.gitignore
.idea/

Basically what I tried on another computer now, was running composer install and then a php artisan migrate (to get the databases). But this didn't work. There where quite some errors, what I at least noticed was that I still got a .env.example instead of a .env. So there was a env.example uploaded instead of a .env, is this correct?

However, whats the best practice or a good way to achieve what I want? Normally I'm working on the project on the computer I created the app, but sometimes I also want to work on and test something on another computer, so I need a local instace. After pushing everything to Github, what do I have to do on another copmuter to get my app running?

PS: I'm using Laravel 5.3

via Chebli Mohamed