c# - Algorithm for xml document splitting -

i want split xml document several xml documents specified node name, (similar string.split(...).)

example: have following xml document.

<root>     <nodea>         hello     </nodea>     <nodea>         <nodeb>             node b text         </nodeb>         <nodeimage>             image.jpg         </nodeimage>     </nodea>     <nodea>         node text     </nodea> </root> 

i want split xml document 3 parts 'nodeimage', , keep original xml structure. (note: node name 'nodeimage' anywhere)
1. xml before nodeimage
2. xml nodeimage
3. xml after nodeimage

for sample xml, results should be:

xml document 1:

<root>     <nodea>         hello     </nodea>     <nodea>         <nodeb>             node b text         </nodeb>     </nodea> </root> 

xml document 2:

<root>     <nodea>         <nodeimage>             image.jpg         </nodeimage>     </nodea> </root> 

xml document 3:

<root>     <nodea>         node text     </nodea> </root> 

does know if there algorithm, or existing code sample requirement?

update notes:
if there 1 node name 'nodeimage' in xml document, xml document should splitted 3 xml documents.

xelement xe = xelement.load(xmlfile);  foreach(xelement newxe in xe.elements("nodea")) {     xelement root = new xelement("root",newxe);     root.save(newfile); }