Dig a shallow moat around the perimeter of the shrub with a sturdy garden spade. When the circle is complete, push the blade under the plant and press down on the handle, lifting the entire gooseberry shrub from the soil while disturbing the roots as little as possible.
Pull the shrub into two or more pieces, making sure each portion includes both roots and shoots. Root masses that are particularly difficult to pry apart can be severed with a small knife.
Dig one hole for each division, making each opening wider and deeper than the current root structure. Leave 3 to 5 feet of space between plants.
Plant the divisions in their new homes. Surround each newly planted shrub with a 3-inch layer of mature compost or organic mulch, then water thoroughly. Keep the soil at the planting site moist for one to two weeks or until the divisions begin to show clear signs of new growth.