This is similar in construction to Vase Mode Hexagonal Modular Drawers and Vase Mode Modular Small Parts Drawers.  These models (except the drawer divider) are designed to be printed in Spiral Vase Mode (aka Spiralize Outer Contour). 

These drawers are very small. Inner dimensions are 39 mm x 23 mm x 98 mm. Use this as a test print before purchasing the full size models. The fit should be about the same.

This has been tested with Cura 4.4 and Slic3r 1.3. Since the tolerances depend on the thickness of the walls generated by the slicer I recommend printing with a 0.4mm nozzle and 0.4mm line width in your slicer settings. 

Recommended nozzle: 0.4 mm (and 0.4 mm line width setting) 

Special Slicer Setting: 

• Cura: Spiralize Outer Contour
• Slic3r: Sprial Vase