Here s a quick fix for that problem demonstrate.
How to take off rain gutters.
It might sound convenient but letting a large piece of gutter fall to the ground is unsafe.
This will make removing the rest of the gutter easier.
This is usually done by removing screws or using a pry bar to remove nails.
With the above safety procedures in mind use a power drill in reverse or a screwdriver to remove the screws underneath the roof or in the siding holding the gutter in place.
Then simply place the block in the gutter and use your hammer or pry bar against it to pull out the nail and remove the ferrule.
Measure the gutter and cut the block to fit snugly between the fascia and the outer lip of the gutter filling the void with solid wood.
If the gutter is very long be cautious removing it.
You can use caulk to fill holes left in the siding once the gutters and downspouts are removed.
You can make a pry block from scrap 2 4 or 2 6.
To remove the downspout you will have to remove the elbow at the bottom of the downspout.
This is as simple as removing each gutter hanger or other device that holds the gutter in place.
The rain gutters can be attached using nails screws or rivets and some type of strapping or braces to hold them in place.
Your next step will be to remove the downspout.