How to rank new website on highly difficult keyword?

Step 1: Lay the Groundwork
Step 2: Do Your Initial Keyword Research
Step 3: Check Out the Competition
Step 4: Consider Intent
Step 5: Conceptualize the Content
Step 6: Execute
Step 7: Optimize for Your Keyword
Step 8: Publish
Step 9: Promote
Step 10: Analyze

This will help you estimate the keyword popularity and how difficult it would be to rank. Remember, not all keywords have the same value!

with the help of content you can acheive.

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content promotion through blog posting,article sharing

It depends on the content, if the content is good then the possibility to index

The Google Ads Keyword Planner tool is a useful resource for building strong keyword lists and helping to get your PPC campaign off to a running start. A free-to-use feature within Google Ads, its tools for generating keyword ideas and bid estimations can help you plan your marketing strategy.

Content and blog posts can help you rank for informational keywords, but it can also help boost rankings for your money pages (homepage, product/service pages, etc.).

A smaller PPC budget and getting maximum results is challenging

Serach in google and use keywords toosl like semrush, ahref, moz