IIEST Shibpur, Howrah, West Bengal is an institute of national importance under the MoE, Government of India. Securing 78 percentile lands you around a CRL rank of 225060 - 253000 according to the previous year trends it is not possible to secure a seat through JoSSA counselling.

See JEE Main rank predictor: https://engineering.careers360.com/jee-main-rank-predictor

You may however try applying for the CSAB counselling in your home state quota for the left out seats, but I warn you this is a lot of risk as there is no guarantee of a seat at your rank. Also you haven't specified your category, but a few program that exited with very low cutoff are mention here:

• Mechanical Engineering (4 Years, Bachelor of Technology) - HS - ST (271581)
• Metallurgy and Materials Engineering (4 Years, Bachelor of Technology) - OS - ST (254417)

**Remember these low ranks do not mean the same case happens this year too, there are multiple factors determining the opening and closing ranks every year.

You can also participate in counselling for your home state engineering colleges (I cannot specify as you haven't provided your state) which accept students for good courses at your rank.

Hope it helps.

Regards,