[xsl] trying to figure out handling namespace issues

I continue to have problems getting my brain to understand how to handle namespace problems. I think I have broken one down simple enough to get help on. (Using Saxon 9)

Basically I have this xsl:
<xsl:for-each select="child::*[1]">
   3)<xsl:value-of select="name(.)"/>#
</xsl:for-each>
<xsl:for-each select="div">
   4)<xsl:value-of select="name(.)"/>#
</xsl:for-each>

and this output:
   3)div#

--- The problem, there is no "4)div#" I realize it is because of a namespace problem, but I don't know how to solve it. Help?

1. Is there a way that I can write some xsl, that will give me temporary output so I can figure out what I need to add to my xsl so that "4)div#" will work without looking at the xml? (I ask this, because sometimes the xml I am working with is huge and it is easy to get lost).

2. Following are the files I am using, stripped down as much as I dared. How can I modify my XSL so the "4)div#" works with a direct select statement instead of *[1]? (because it won't always be in the first position) Thanks

_________ Main XML file _________
<kbooks>
       <EOUProblems>pset:7</EOUProblems>
</kbooks>

________ Secondary input file psettest7.xhtml _________ <?xml version="1.0" encoding="iso-8859-1"?><!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN" "http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd";> <html xmlns="http://www.w3.org/1999/xhtml";> <body> <div class="problemGroup"> text </div> </body> </html>

________ XSL file ____________________ <?xml version="1.0" encoding="UTF-8"?> <xsl:stylesheet version="2.0" xmlns="http://www.w3.org/1999/xhtml"; xmlns:xsl="http://www.w3.org/1999/XSL/Transform"; exclude-result-prefixes="xsl">

<xsl:template match="kbooks">
<root>
   <xsl:apply-templates select="EOUProblems"/>
</root>
</xsl:template>

<xsl:template match="EOUProblems">
    <xsl:variable name="psetDoc">psettest7.xhtml</xsl:variable>
   <xsl:for-each select="document(string($psetDoc))">
       <xsl:for-each select="child::*[1]">
           <xsl:for-each select="child::*[1]">
               <xsl:for-each select="child::*[1]">
                   3)<xsl:value-of select="name(.)"/>#
                 </xsl:for-each>
                 <xsl:for-each select="div">
                   4)<xsl:value-of select="name(.)"/>#
                 </xsl:for-each>
           </xsl:for-each>
       </xsl:for-each>
   </xsl:for-each>
</xsl:template>

</xsl:stylesheet>

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