How can I install laminate flooring without removing base molding?
Pick yourself up a laminate flooring installation kit, like this one.



It comes with spacers that can be placed between the already installed planks, and the base molding. The spacers will maintain the required gap, as you hammer the planks together.

The kit also includes a pull bar, and tapping block. Both of which will come in quite handy.



Installing laminate (and any hardwood flooring) without removing the base molding is quite common.