The biggest comment I have about this code is that it modifies DOM elements using vanillaJS techniques. With VueJS, there are ways of achieving this without needing to reference those elements via properties like id or ref. One way is to use computed propertiescomputed properties and bound stylesbound styles. See rewritten code below for examples.
This code relies heavily on global variables (e.g. dividerRef, currentDivider, leftDivider, rightDivider, etc.). Unless those variables are needed for other code, the Vue instance's datadata object can be used to store properties used within the various methods.