No definition available.

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- Definition

Number of periods considered to arrive at average price to issue common stock, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

+ References

No definition available.

+ Details

Name:	dgica_NumberOfPeriodsConsideredToArrivedAtAveragePriceToIssueCommonStock
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- Definition

Share based compensation arrangement by share based payment award maximum amount of subscription per period.

+ References

No definition available.

+ Details

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Namespace Prefix:	dgica_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Number of shares authorized for issuance under share-based payment arrangement.

+ References

Reference 1: http://www.xbrl.org/2003/role/exampleRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (a)(3)
-URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901

+ Details

Name:	us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
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Balance Type:	na
Period Type:	instant

- Definition

Number of shares issued under share-based payment arrangement.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901

+ Details

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Period Type:	duration

- Definition

Purchase price of common stock expressed as a percentage of its fair value.

+ References

No definition available.

+ Details

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- Details

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Stock Compensation Plans, Agency Stock Purchase Plan (Details) - USD ($)	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020	Dec. 31, 2018
Agency Stock Purchase Plan [Member]
Agency Stock Purchase Plan [Abstract]
Number of shares available for issuance (in shares)		400,000		350,000
Investment on per subscription	$ 12,000
Percentage of purchase price of shares	90.00%
Number of trading days of subscription period	10 days
Shares issued (in shares)	104,393	99,828	101,647
New Plan [Member]
Agency Stock Purchase Plan [Abstract]
Number of shares available for issuance (in shares)		500,000