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Disclosures About Fair Value of Assets and Liabilities (Details 3) (USD $)
In Thousands, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Summary of estimated fair values of company's financial instruments    
Cash and due from banks $ 28,197us-gaap_CashAndDueFromBanks $ 13,137us-gaap_CashAndDueFromBanks
Loans held for sale, Carrying Amount 5,168us-gaap_LoansReceivableHeldForSaleNet 3,366us-gaap_LoansReceivableHeldForSaleNet
Loans, net of allowance for loan losses, Carrying Amount 509,565us-gaap_LoansReceivableNet 470,339us-gaap_LoansReceivableNet
Federal Reserve and FHLB Bank stock, at cost,Carrying amount 3,748rbnf_FederalReserveAndFederalHomeLoanBankStock 3,748rbnf_FederalReserveAndFederalHomeLoanBankStock
Interest receivable 1,346us-gaap_InterestReceivable 1,281us-gaap_InterestReceivable
Mortgage servicing rights carrying amount 5,704rbnf_MortgageServicingRightsCarryingValue 5,180rbnf_MortgageServicingRightsCarryingValue
Deposits, Carrying Amount 550,906us-gaap_Deposits 518,234us-gaap_Deposits
Repurchase agreements, Carrying aamount 12,740us-gaap_ShortTermBorrowings 14,696us-gaap_ShortTermBorrowings
Notes payable, Carrying Amount   589us-gaap_NotesPayable
FHLB advances, Carrying Amount 30,000us-gaap_FederalHomeLoanBankAdvancesLongTerm 16,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
Trust preferred securities, Carrying Amount 10,310us-gaap_OtherLongTermDebt 20,620us-gaap_OtherLongTermDebt
Interest payable 264us-gaap_InterestPayableCurrentAndNoncurrent 639us-gaap_InterestPayableCurrentAndNoncurrent
Level 1 [Member]    
Summary of estimated fair values of company's financial instruments    
Cash and due from banks, Fair Value 28,197rbnf_CashAndDueFromBanksFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
13,137rbnf_CashAndDueFromBanksFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
Loans held for sale, Fair Value      
Loans, net of allowance for loan losses, Fair Value      
Federal Reserve and FHLB Bank stock at cost, Fair Value      
Interest receivable, Fair Value      
Mortgage servicing rights fair value      
Deposits, Fair Value 97,853us-gaap_DepositsFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
81,570us-gaap_DepositsFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
Repurchase agreements, Fair Value      
Notes payable, Fair Value     
FHLB advances, Fair Value      
Trust preferred securities, Fair Value      
Interest payable, Fair Value      
Level 2 [Member]    
Summary of estimated fair values of company's financial instruments    
Cash and due from banks, Fair Value      
Loans held for sale, Fair Value 5,315us-gaap_LoansReceivableFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
3,476us-gaap_LoansReceivableFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
Loans, net of allowance for loan losses, Fair Value      
Federal Reserve and FHLB Bank stock at cost, Fair Value 3,748rbnf_FederalReserveAndFederalHomeLoanBankStockFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
3,748rbnf_FederalReserveAndFederalHomeLoanBankStockFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
Interest receivable, Fair Value 1,346rbnf_InterestReceivableFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
1,281rbnf_InterestReceivableFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
Mortgage servicing rights fair value      
Deposits, Fair Value 455,383us-gaap_DepositsFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
439,273us-gaap_DepositsFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
Repurchase agreements, Fair Value 12,740us-gaap_SecuritiesLoanedOrSoldUnderAgreementsToRepurchaseFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
14,696us-gaap_SecuritiesLoanedOrSoldUnderAgreementsToRepurchaseFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
Notes payable, Fair Value   600us-gaap_NotesPayableFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
FHLB advances, Fair Value 29,907us-gaap_FederalHomeLoanBankBorrowingsFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
15,955us-gaap_FederalHomeLoanBankBorrowingsFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
Trust preferred securities, Fair Value 7,206rbnf_OtherLongTermDebtFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
15,566rbnf_OtherLongTermDebtFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
Interest payable, Fair Value 264rbnf_InterestPayableFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
639rbnf_InterestPayableFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
Level 3 [Member]    
Summary of estimated fair values of company's financial instruments    
Cash and due from banks, Fair Value      
Loans held for sale, Fair Value      
Loans, net of allowance for loan losses, Fair Value 510,314rbnf_LoansAndLeasesReceivableNetOfDeferredIncomeFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
469,505rbnf_LoansAndLeasesReceivableNetOfDeferredIncomeFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Federal Reserve and FHLB Bank stock at cost, Fair Value      
Interest receivable, Fair Value      
Mortgage servicing rights fair value 6,358rbnf_MortgageServicingRightsFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
6,237rbnf_MortgageServicingRightsFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Deposits, Fair Value      
Repurchase agreements, Fair Value      
Notes payable, Fair Value     
FHLB advances, Fair Value      
Trust preferred securities, Fair Value      
Interest payable, Fair Value