Dig gladiola flower corms out of the garden in fall, before frost.
Cut off the dying foliage and flowers and toss them onto the compost.
Divide the gladiola corms. They grow babies, tiny cormlets, that can be replanted next spring to grow into new full-sized corms that eventually produce flowers.
Bury the gladiola corms in a cardboard box filled with vermiculite. Vermiculite dries out the corms preventing them from rotting.
Store the box of corms in a heated basement or shed, or anywhere where the temperature stays above freezing for the winter.
Replant gladiola corms outside in the garden the following spring after all danger of frost has passed.