Call your local government officers to determine what limits your community, county or state has established for wastewater discharge from floor finish strippers. Know the ingredients in your stripper, and whether the floor finish you're stripping contains zinc, before you call.
Dilute the stripper solution with water to the maximum you can apply and still effectively strip the floor. You will strip a smaller area with diluted stripper, absorbing and discharging less zinc. Have the diluted discharge tested.
Collect and store your floor finish stripping discharge in hazardous waste barrels if you cannot meet the zinc discharge requirements. Do not landfill the barrels. Contract with a licensed hazardous waste disposal firm to collect and safely dispose of your wastewater.