How to make two divs float side by side?

Question

I have been trying to make two divs float side by side (namely sliderdiv and main-search) but cant seem to get it.`A fiddle of the same: http://jsfiddle.net/Ar99F/1/

Mark-up

<div id="homecontent" class="container">
    <div id="homecontent-mid" class="row rounded">
        <div id="homebanner" class="rounded">
            <div class="sliderdiv">Content Goes Here</div>
            <div class="main-search">Search Content Goes Here</div>
        </div>
    </div>
</div>

CSS

#homecontent {
    background: url("images/content-bg.png") repeat-x scroll 0 0 #FAFAFA;
    position: relative;
}

#homecontent-mid {
    background: url("images/bg-stage.png") repeat-y scroll right top #FFFFFF;
    border: 1px solid #BDBCBD;
    min-height: 100%;
    outline: medium none;
    top: -40px;
}

#homebanner {
    background: url("images/bg-stage-shade.png") repeat-x scroll 0 0 transparent;
    padding-right: 20px;
    position: relative;
}

.rounded {
    border-radius: 10px 10px 10px 10px;
}

.sliderdiv {
    background: none repeat scroll 0 0 red;
    float: right;
}

.main-search {
    background: none repeat scroll 0 0 #FFFFFF;
    border: medium solid #D51386;
    clear: both;
    float: left;
    overflow: hidden;
    padding: 20px 10px;
}

Please Help

Answer 1

Have a look here. Just put float: left to both of them and remove the clear: both.

Answer 2

add overflow:hidden to your wrappers to fulfill the design and remove clear:both; and you will need to put float:left to just the first item not to both

UPDATED FIDDLE