1. cd to Drupal installation Directory
2. Backup Drupal
drush archive-dump
3. Check Drupal Update and get the list of modules that have update
drush ups
4. Set Drupal Website to maintenance mode
drush sset system.maintenance_mode 1
5. Clear Drupal Cache
drush cr
6. Update Drupal and press "Y" when asked
drush up drupal
7. Update Drupal Database
drush updb
8. Update Drupal modules
drush up XXXX XXXX
where XXXX is the module name (the string inside the bracket in step 2)
9. Set Drupal Website back to live mode
drush sset system.maintenance_mode 0
10. Clear Drupal Cache Again
drush cr