A note on strong locally divided domains

A uniform proof is given for the following fice assertions. Let R be an integral domain such each overring of R is a pseudovaluation domain (resp., divided domain; resp., going-down domain; resp., locally pseudovaluation domain; resp., locally divided domai). Then R/P has the same property, for each prime ideal P of R. The assertion for pseudovaluation domains was proved recently by Okabe-Yoshida by other methods