Wherever possible, I avoid tapping free hand.
AS already said, many tap breakages are not caused by torque, but by bending.
In the mill, I use spring loaded guides for the end of the Tap and the wrench, providing the torque by hand on a wrench sized to more or less match the Tap.
In the lathe, use a shop made sliding holder, using ER collets, i held in the Tailstock, For larger Taps, I get brave and use the "Jog" facility on the VFD. If any doubt, I either pull the chuck round by hand or use a Mandrel handle.
The other means, for smaller work, is a Tapping fixture, made from an old stand for an electric drill, and a cheap drilling Vice. The handle is a 6" length of 6 x 2mm injection pipe through the spindle, which carries a small Jacobs chuck to hold and drive the Tap.
The idea is that if anything jams, the Tap will slip in the holder, rather than break.
The neat Arc Euro version uses a handwheel to prevent excessive torque being applied.
Lubrication is either Bacon fact (Apologies to Vegetarians / Vegans 
or Rocol RTD.
As long as the tap is backed out, to clear the swarf, breakages are minimal. The last was M10, because I didn't!
Afterwards, the Taps and Dies are cleaned with an old toothbrush, before being put back into their storage boxes.
HTH
Howard