Hello and welcome to the forum 
Parting off can be the most daunting exercise for a novice on the lathe.
When machining steel once you start cutting you must keep cutting otherwise it work hardens. EN1A-Pb is a great steel to learn with as it is free-cutting though it is not suitable for all applications.
General guidance for parting off –
- Parting off tool must be sharp, set to the centre height of the workpiece and absolutely perpendicular to it.
- Reduce lathe speed by 75%
- Lubrication helps.
- The narrower the parting off tool the less stress to your lathe…
- But don't allow swarf to build up in the groove you are making.
When parting thicker pieces some people like to take the tool part way in, back out, move the tool to one side, and go in again. This creates a wider groove so swarf and the workpiece are not rubbing on as much of the tool leading to friction and heat build up. Depending on the thickness of the part, the material involved, and the confidence of the operator (or lack thereof) this process may be repeated more than once to complete parting off.
Other things that people do to achieve successful parting off include inverting the parting off tool in the toolholder and running the lathe in reverse. Much depends on the toolholder you have since the cutting point must still be at the centre height of the workpiece. DO NOT try this method if the lathe chuck is threaded onto the spindle!!! Also, may subject an unmodified mini-lathe to unusual stresses since you are now also reversing the forces acting on the carriage – i.e. trying to lift it instead of pressing down. YMMV.
If you are still nervous about parting off (which is perfectly understandable) just use the parting off tool to go part of the way through the workpiece then back the tool out and switch off the lathe. Finish the job with a hacksaw. There is no shame in taking this approach, it just needs a little more elbow grease.