Answer: You can cut the tubers into sections, so long as each section has a bud that will become a stalk. Cut surfaces can be protected from rot with a dusting of sulfur, and allowing the cut surfaces to dry for several days before planting. As for the insect invader, "small white bug" is pretty vague - besides which, I'm not familiar with your native insect pests. Here's my best shot, though: You may be able to deter future infestations with frequent, careful cultivation of the soil around the plants. This kind of disturbance can expose pests to predators, dry them out, and just discourage them from settling in. I hope you have better luck this year!
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