You can now view Instagram Stories on the web
https://www.theverge.com/2017/8/31/16233416/instagram-stories-mobile-desktop-web-support
Instagram is adding the ability for you to view Stories on desktop and mobile web so you can see the ephemeral posts on larger screens. Instead of the usual tap left or right to move between posts and stories, Instagram is adding arrows to help you navigate.
Soon, Instagram will also allow users to upload stories via the mobile web, which might be helpful for those who go the extra length of editing their images and videos before sharing them as stories. This practice is common with brands and media companies like The Verge, but also with professional videographers and photographers. (When alerted to the news, The Verge social media team erupted in glee, describing it as “heaven sent” and “game changer.”)