take out, pull out
搯 centers on extracting or drawing something out, as in taking out or pulling out an object from a container or situation.
搯 combines 扌 (hand) with 舀, which likely contributes the sound and relates to scooping or ladling, suggesting the action of taking out by hand.
The hand 扌 beside 舀, which looks like a ladle or scoop, suggests using your hand to take something out, like pulling a ladle from a pot.
For トウ, imagine pulling out a toe from a tight shoe: toe -> トウ, and your hand helps extract it.