Watki02,
That is quite an ask. I tried to answer your question, but I think some more research on your part might be in order ;)
You are asking less of a question and more for a class on how DNS works.
I did not provide pictures, but if you read my answer they should be easy for you to make.
Delegation
Take domain.com. For the purpose of this discussion you registerd domain.com with GoDaddy. You have a website hosted by another company. Your website is www.domain.com.
You have decided that you want your zone file to be hosted by the same company that hosts your website content.
By default, your zone file is hosted where your domain is registered. For you to have the server that hosts your website content host your zone file you would login to GoDaddy and configure DNS delegation. That would require you to enter the Fully Qualified Domain Name (FQDN) of the name servers provided by the company that is hosting your website content.
When someone queries www.domain.com the request goes to GoDaddy who says you need to contact the name servers of the company that hosts the website content. GoDaddy provides the records for the name servers.
The query then obtains the information from the name servers that were specified.
Forwarding
DNS forwarding is something that a DNS server with forwarding configured does.
For our discussion we will say your internal domain name is network.com. If a computer in your network asks for server.network.com, your DNS server in your office that is the authoritative server for network.com will resolve the request. If a computer in your network asks for www.example.com, the request will first go to your DNS server in your office and the DNS server will say, I do not have any information for example.com, so you need to go to an external DNS server. The external DNS server is the forwarder.
So your DNS server in your office (ns.network.com) manages the zone file for network.com. If a request is made for something in the domain network.com ns.network.com is going to do the resolution. If a request is made for a zone that ns.network.com does not manage then ns.network.com says I don't know anything about the domain you need records to but here is the DNS forwarder that you need to get the records from. So if Google is your DNS forwarder then the request would be forwarded to Google. Google would then process the resolution request and provide a response.
Conditional Forwarding
Conditional forwarding is similar to forwarding except instead of forwarding all DNS requests that the DNS server cannot resolve to an external DNS server it only forwards DNS requests for specific domains.
So let's say you have a DNS server in your office (ns.network.com) and it has a DNS forwarder 8.8.8.8 (this is the public IP address for a Google public DNS server) but you want DNS requests for client.com to go to ns.client.com, then you would create a conditional forwarder that says DNS requests for client.com go to ns.client.com. If you do that even though ns.network.com cannot resolve desktop.client.com it will not be forwarded to Google but it will be forwarded to ns.client.com.
Stub Zone
A Stub Zone is a DNS zone file that contains the bare minimum DNS records so it can respond to queries. Usually a Stub Zone has a Start of Authority (SOA) record and Name Server (NS) records. This is useful if you have two different DNS servers each managing a zone and the two DNS servers need to talk with each other so each network can communicate with the other using internal DNS.
You can read more about DNS on the following pages:
How DNS Query Works: Domain Name System (DNS)
Using forwarders: Domain Name System (DNS)
Understanding stub zones: Domain Name System (DNS)