Mix up a bucket of washing soda, also known as sodium carbonate, and wash the entire tiled area, rinsing and wiping well. Washing soda is a laundry product that contains a grease cutter and stain lifter.
Rub the remaining stains with a poultice of 2 tablespoons of washing soda in a cup of warm water. Apply the poultice with a toothbrush. Allow the solution to sit for a few minutes before rinsing well and wiping with a clean cloth.
Spray stains that persist after a washing soda scrub to remove grease with a solution of half white vinegar and half water. Blot up the solution with a clean rag immediately.
Resort to oxygen bleach for tough stains. Make a spray solution using powdered products or use one of the sprays sold as a pretreatment for the laundry. Spray the solution on until it forms a layer on the grout. Allow it to sit for up to one minute before dabbing with a clean rag and rinsing the area with clean water.