Remove the existing floor using the crowbar and the hammer. This step depends on the type of existing floor. Linoleum and vinyl will be ripped away using the crowbar and the work gloves. Wedge the crowbar under the edge of the linoleum to lift it up. When enough surface has been lifted, grab and pull on it using the work gloves. After tearing away that surface, clear adhesive from the foundation by scraping it off with the putty knife.
Hardwood floor will be harder to remove. Pry it away with the crowbar. Be careful, as broken shards and splinters of wood can be dangerous. Again, clear adhesive from the foundation using the putty knife.
Clear the area of any debris. Sweep or mop the foundation to ensure that it is clean. Mix the fine grade concrete in the wheelbarrow with the shovel. Pour the concrete into the kitchen floor area. Make the layer deep enough to replace the flooring that was previously there. Smooth it with the large putty knife.
Give the concrete about a day to dry. Apply a sealant via spraying or brushing.