<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>5</documentType><periodOfReport>2003-06-30</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><form3HoldingsReported>0</form3HoldingsReported><form4TransactionsReported>0</form4TransactionsReported><issuer><issuerCik>0000883587</issuerCik><issuerName>BISYS GROUP INC</issuerName>        <issuerTradingSymbol>BSG</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001245509</rptOwnerCik><rptOwnerName>DELL KEVIN J</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>THE BISYS GROUP, INC.</rptOwnerStreet1><rptOwnerStreet2>90 PARK AVENUE, 10TH FLOOR</rptOwnerStreet2><rptOwnerCity>NEW YORK</rptOwnerCity><rptOwnerState>NY</rptOwnerState><rptOwnerZipCode>10016</rptOwnerZipCode><rptOwnerStateDescription></rptOwnerStateDescription></reportingOwnerAddress><reportingOwnerRelationship><isDirector>0</isDirector><isOfficer>1</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther><officerTitle>Executive Vice President</officerTitle></reportingOwnerRelationship></reportingOwner><nonDerivativeTable><nonDerivativeTransaction><securityTitle><value>Common Stock - 2002 ESPP</value></securityTitle><transactionDate><value>2002-12-31</value></transactionDate><transactionCoding><transactionFormType>5</transactionFormType><transactionCode>A</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>781</value></transactionShares><transactionPricePerShare><value>13.515</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>78835</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></nonDerivativeTransaction></nonDerivativeTable><footnotes></footnotes><remarks></remarks><ownerSignature><signatureName>Kevin J. Dell</signatureName><signatureDate>2003-08-18</signatureDate></ownerSignature></ownershipDocument>

