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Fair Value of Assets and Liabilities (Details 1) (USD $)
In Thousands, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
Impaired Loans [Member]    
Summary of fair value measurements of assets measured at fair value on a non-recurring basis    
Assets, Fair value, Nonrecurring $ 1,551us-gaap_AssetsFairValueDisclosureNonrecurring
/ us-gaap_BalanceSheetLocationAxis
= rbnf_ImpairedLoansMember
$ 2,538us-gaap_AssetsFairValueDisclosureNonrecurring
/ us-gaap_BalanceSheetLocationAxis
= rbnf_ImpairedLoansMember
Impaired Loans [Member] | Level 1 [Member]    
Summary of fair value measurements of assets measured at fair value on a non-recurring basis    
Assets, Fair value, Nonrecurring      
Impaired Loans [Member] | Level 2 [Member]    
Summary of fair value measurements of assets measured at fair value on a non-recurring basis    
Assets, Fair value, Nonrecurring      
Impaired Loans [Member] | Level 3 [Member]    
Summary of fair value measurements of assets measured at fair value on a non-recurring basis    
Assets, Fair value, Nonrecurring 1,551us-gaap_AssetsFairValueDisclosureNonrecurring
/ us-gaap_BalanceSheetLocationAxis
= rbnf_ImpairedLoansMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
2,538us-gaap_AssetsFairValueDisclosureNonrecurring
/ us-gaap_BalanceSheetLocationAxis
= rbnf_ImpairedLoansMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Mortgage Servicing Rights [Member]    
Summary of fair value measurements of assets measured at fair value on a non-recurring basis    
Assets, Fair value, Nonrecurring 2,841us-gaap_AssetsFairValueDisclosureNonrecurring
/ us-gaap_BalanceSheetLocationAxis
= rbnf_MortgageServicingRightsMember
3,037us-gaap_AssetsFairValueDisclosureNonrecurring
/ us-gaap_BalanceSheetLocationAxis
= rbnf_MortgageServicingRightsMember
Mortgage Servicing Rights [Member] | Level 1 [Member]    
Summary of fair value measurements of assets measured at fair value on a non-recurring basis    
Assets, Fair value, Nonrecurring      
Mortgage Servicing Rights [Member] | Level 2 [Member]    
Summary of fair value measurements of assets measured at fair value on a non-recurring basis    
Assets, Fair value, Nonrecurring      
Mortgage Servicing Rights [Member] | Level 3 [Member]    
Summary of fair value measurements of assets measured at fair value on a non-recurring basis    
Assets, Fair value, Nonrecurring $ 2,841us-gaap_AssetsFairValueDisclosureNonrecurring
/ us-gaap_BalanceSheetLocationAxis
= rbnf_MortgageServicingRightsMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
$ 3,037us-gaap_AssetsFairValueDisclosureNonrecurring
/ us-gaap_BalanceSheetLocationAxis
= rbnf_MortgageServicingRightsMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member