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Segment Information - Summary of Financial Data by Segment (Detail) - USD ($)
3 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Premiums earned:    
Premiums earned $ 181,764,580 $ 169,156,147
Net investment income 6,378,369 5,755,399
Realized investment (losses) gains (918,339) 2,548,975
Equity in earnings of DFSC 632,114 232,950
Other 1,471,000 1,278,000
Total revenues 189,328,278 178,970,963
Underwriting (loss) income:    
SAP underwriting income (loss) (37,477,000) (5,157,000)
GAAP adjustments 2,368,000 2,873,000
GAAP underwriting loss (35,109,000) (2,284,000)
Net investment income 6,378,369 5,755,399
Realized investment (losses) gains (918,339) 2,548,975
Equity in earnings of DFSC 632,114 232,950
Other 482,000 472,000
(Loss) income before income tax (benefit) expense (28,535,171) 6,724,829
Commercial Lines [Member]    
Premiums earned:    
Premiums earned 82,226,000 76,619,000
Underwriting (loss) income:    
SAP underwriting income (loss) (20,210,000) 334,000
Personal Lines [Member]    
Premiums earned:    
Premiums earned 99,539,000 92,537,000
Underwriting (loss) income:    
SAP underwriting income (loss) $ (17,267,000) $ (5,491,000)