But the ancestor lived for a long period of time and all along with the new evolved species,why after long period of time the origin have to be extincted such as the Homo Erectus who survived for about 2 millions of years.
Imagine a bird that lives on the coast of a mainland.
So, some of these birds are flying around. The flock gets stuck in a storm and blown away. They are near death, but they make it to an island.
Now there are two groups of these birds. Some of the birds are still in their original home on the coast of the mainland. But a small flock of these birds are now on an island.
The two groups can't interbreed because the island is too far to get to normally. It was only through the storm and good luck that the small flock made it there.
Both groups are now going to go through evolution completely separately. The mainland birds might not need to change a lot because their environment hasn't changed. It's still the same coast. But the new islander birds might need to adapt to their new island. There are different foods, different living arrangements, different pressures. There is also the fact that there are less individuals than the big group back on the mainland, which means that recessive traits are more likely to get expressed, and some diversity will get lost.
After thousands of years the two groups, the mainland and the island group, may end up looking very differently from each other. But the original group, the mainland group, still exists.
And that's how you get a species evolving from a parent species, and why the parent species would still exist.