<?xml version="1.0"?><ownershipDocument><schemaVersion>X0101</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-07-24</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0001016179</issuerCik><issuerName>DIAL CORP /NEW/</issuerName>        <issuerTradingSymbol>DL</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001173421</rptOwnerCik><rptOwnerName>THOMAS BARBARA S</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>  </rptOwnerStreet1><rptOwnerStreet2>  </rptOwnerStreet2><rptOwnerCity>  </rptOwnerCity><rptOwnerState>  </rptOwnerState><rptOwnerZipCode>  </rptOwnerZipCode></reportingOwnerAddress><reportingOwnerRelationship><isDirector>1</isDirector><isOfficer>0</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther></reportingOwnerRelationship></reportingOwner><derivativeSecurity><securityTitle><value>Phantom Stock Units</value></securityTitle><conversionOrExercisePrice><value>0</value><footnoteId id="F1" /></conversionOrExercisePrice><transactionDate><value>2003-07-24</value></transactionDate><deemedExecutionDate><value>2003-07-24</value></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>A</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>16.17</value></transactionShares><transactionValue><value>19.085</value></transactionValue><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><value>1988-08-08</value></exerciseDate><expirationDate><value>1988-08-08</value></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>The Dial Corporation Common Stock</value></underlyingSecurityTitle><underlyingSecurityShares><value>16.17</value><footnoteId id="F2" /></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>7888.12</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeSecurity><footnotes><footnote id="F1">Security converts to common stock on a one-for-one basis.</footnote><footnote id="F2">On July 24, 2003, the reporting person acquired 16.17 phantom stock units at a price of $19.085 as a result of a dividend paid under the Corporations Directors Deferred Compensation Plan.</footnote></footnotes><ownerSignature><signatureName>/s/ Dianne B. Stoehr, Attorney-in-Fact</signatureName><signatureDate>2003-07-25</signatureDate></ownerSignature></ownershipDocument>

