Struggling to implemt A* pathfinding execution.

Hey guys, so I’ve implemented pathfinding to my game which works well with a tile based map. All tiles have an x & y integer coordinate for example the tile on the top left would be 0,0 the adjecent tiles would we 0,1; 1,0 and 1,1. My pathfinding returns a path based on these coordinates.

My game however is using float coordinates. So that an entity is basically able to stand on or between two tiles at the same time. For that the tile coordinates are multiplied by 32 (the size of one tile). That means the first tile would be 32,32 and the adjecent tiles 64,32; 32,64; 64,64

My approach was to get a target X and Y from my pathfinding to calculate the next step and multiply it by 32. So if the entity is supposed to move to the top left for example the targetX and Y would be 132, 132.

After the targetX & targetY is set i’ll increase or decrease the coordination of moving entity by its movementspeed, when it’s reached its targetX & targetY i’ll get the next step and to the same until no steps are left.

However I’m encountering various problems because it’s not really possible to set an entity to a certain field because its possible to stand on two tiles at the same time and entities only have float coordinates. Especially when an entity is supposed to move around a narrow corner its getting stuck because of the offset between the pathfinding and the float coordinates of the entity.

I hope my problem became more or less clear, how could I deal with that or how is dealt with that problematic in general? I’m glad about any advices.

Edit: No diagonal movement is intended.

greets