If you lack garden space for your vegetables, get creative. Many vegetables you commonly see growing in a standard garden grow easily in containers---so don't allow your lack of space prevent you from growing the vegetables you desire. As long as the container is large enough, you can even plant potatoes in a container, with successful results.
Make six drainage holes on the bottom of the plastic tub with the drill, spacing them evenly.
Fill the plastic tub approximately 1/3 full of potting soil.
Place the seed potatoes on the top of the soil, spacing them every 6 inches and keeping them approximately 4 inches away from the tub sides.
Add 2 inches of potting soil over the seed potatoes and water the potatoes until the potting soil is moist.
Place the container in a sunny location.
Add 2 additional inches of potting soil over the potato seedlings when they become 6 inches tall. It is fine to cover the bottom-most leaves with the potting soil as you add it.
Continue to add 2 inches of potting soil each time the seedlings are 6 inches tall. Stop adding additional potting soil when the soil level is within 2 inches of the top of the tub. You can continue to push the potting soil up around the stems of the potato plants as they grow.
Provide regular water for the potato plants, never allowing the potting soil to dry out between waterings. Regular water will result in beautifully formed potatoes. Inconsistent water will result in oddly shaped potatoes.
Harvest the potatoes approximately two months after planting. See if the potatoes are ready for harvest by inserting your fingers into the soil around the base of the plants. If the potato is large enough, pull the entire plant from the soil. If the potato is not large enough, allow it more growing time.