Guaranty Fund and Other Insurance-Related Assessments (Details) - USD ($)	Dec. 31, 2022	Dec. 31, 2021
Guaranty Fund and Other Insurance-Related Assessments [Abstract]
Insurance subsidiaries' liabilities for guaranty fund and other insurance	$ 1,900,000	$ 1,700,000
Surcharges collected by insurance subsidiaries	$ 663,883	$ 602,523

Amount related to surcharges collected by insurance subsidiaries on behalf of regulatory authorities.

No definition available.

Name:	dgica_SurchargeCollectedBySubsidiary
Namespace Prefix:	dgica_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant