I have some HTML which I want to use display: table css attributes to control. Unfortunately, I cannot actually change the HTML (or JS either), only the CSS (long story). This is a problem, because the structure of the existing HTML is causing trouble for the table layout. Here is a simplified version of the HTML and CSS:
<style>
    .like-table { display: table;}
    .like-tr { display: table-row;}
    .like-th { display: table-cell; border: 1px solid gray;}
    .useless-div-1 { }
    .useless-div-2 { }
    .like-td { display: table-cell; border: 1px solid gray;}
</style>
<div class="like-table">
    <div class="like-tr">
        <div class="like-th">1</div>
        <div class="like-th">22</div>
        <div class="like-th">3</div>
    </div>
    <div class="useless-div-1"><div class="useless-div-2">
        <div class="like-tr">
            <div class="like-td">111</div>
            <div class="like-td">2</div>
            <div class="like-td">3</div>
        </div>
        <div class="like-tr">
            <div class="like-td">11</div>
            <div class="like-td">2</div>
            <div class="like-td">333</div>
        </div>
    </div></div>
</div>
Sadly, this renders the header and body columns width different widths:

If I remove the "useless-div-*" open and closing tags:
<div class="like-table">
    <div class="like-tr">
        <div class="like-th">1</div>
        <div class="like-th">22</div>
        <div class="like-th">3</div>
    </div>
    <div class="like-tr">
        <div class="like-td">111</div>
        <div class="like-td">2</div>
        <div class="like-td">3</div>
    </div>
    <div class="like-tr">
        <div class="like-td">11</div>
        <div class="like-td">2</div>
        <div class="like-td">333</div>
    </div>
</div>
Then it renders fine, aligning header and body column widths:

So, is there anything I can do to the CSS that will cause the first set of HTML to behave like the second? Remember I cannot modify the HTML or JavaScript -- only the CSS! Please do not ask why...
 
    