The RCA DETK185R TV can be controlled with Universal Remote Controls. I tested several.
The best match was a 4 digit universal remote from GE. Model Number 10841. Code 1961 worked almost everything.
With a 5 digit remote from RCA, model number RCRN04GR, Code 12372 worked Power, Channel, Volume and Input.
A 3 digit remote from GE, model RC24912-B. Code 166 was able to control Power, Channel, Volume and Input.
An old 3 digit remote from RCA, model RCU-403A. Code 062 was able to control Power, Channel and Volume.
Most remotes from GE and RCA will use the same code numbers. So even if you have a different model remote from GE or RCA, these codes may work.
These codes should work with other TV models in this series from RCA, including Detk215r, Detk186r and Detk156r.