Again, not too difficult if you dont overthink it, however it is vital to check the Cast is adequately supported above before removing the existing drain from underneath it. Cast is extremely heavy, if it's relying on the drain underneath for support then it could fall without warning if you remove that support.
Assuming all is well, then excavate and expose the clay pipe leading away from the Stack, cut at a suitable point. Use a Flexseal or other suitable coupling to change to 110mm plastic. Long radius bend ideally at base of the Stack, couple back to the cast using another Flexseal. Peagravel around pipe, backfill as required.