How to have One DNS and two different webhost?

Question

I have one domain name i.e. example.com registered via godaddy.

• Now, I want to host my personal blog on blogger/blogspot with this url (i.e. on subdomain) "http://subdomain.example.com"
• And, I want to host my full website on different webhost (It is a
  free host which supports all the PHP features) but it does not allow me to modify CNAME and A records of domain.
• Godaddy allows me to modify DNS Settings of my domain name
  including CNAME and A Records but only if it's name servers are used.

Now, Solve my Problem. I will be very much grateful to you.

Answer 1

• Use Goddaddy nameservers
• Learn NS-management interface in order to add needed for 2 sites (hosts, not subdomains!) RR in zone definition
• Select names for your hosts (let they be www and blog in this example)
• Read blogspot docs about using your own hostname with service (it will be smth. like "you have to point your host to somename-of-blogspot-domain"). Do it, i.e add

blog CNAME somename-of-blogspot-domain.

to your zone definition (dot is a must)

• Order host on independent hosting and remember IP of your future site

• Add to zone one more RR

  www A ip-ip-of-hosting

• Create www.domain site on hosting

Relax and have fun