Ok, the page link helps.
You'll need to edit the view "product | show_default" for your frontend template.
In there please look for this block of lines, which is presently located around lines 191/195, inside a div with ID "hikashop_product_bottom_part":
<div id="hikashop_product_description_main" class="hikashop_product_description_main">
<?php
echo JHTML::_('content.prepare',preg_replace('#<hr *id="system-readmore" */>#i','',$this->element->product_description));
?>
</div>
You want to try moving this block of lines so it's
inserted right before this line (around line 74):
<span id="hikashop_product_price_main" class="hikashop_product_price_main">
Saving this and reloading the product page should display the product description in the right part and right above the price.
If you want it elsewhere, you'll need to insert the mentioned block elsewhere - just try to read the HTML and identify the code blocks.
EDIT:
Analog, if you want the description below the price but above the "Add to cart" part, insert it right after the </span> of the block with the ID "hikashop_product_price_main".