<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2015-05-15</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000799088</issuerCik>
        <issuerName>CARMIKE CINEMAS INC</issuerName>
        <issuerTradingSymbol>CKEC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001328453</rptOwnerCik>
            <rptOwnerName>PASSMAN S DAVID III</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1301 FIRST AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>COLUMBUS</rptOwnerCity>
            <rptOwnerState>GA</rptOwnerState>
            <rptOwnerZipCode>31901</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>President and CEO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2015-05-15</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>40000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>29.01</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>199207</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Price represents the weighted average sales price.  The shares were sold pursuant to a single order in multiple transactions at prices ranging from $29.00 to $29.06.  Upon request by SEC staff, the issuer or a security holder of the issuer, the reporting person will provide full information regarding the number of shares sold at each separate price.</footnote>
        <footnote id="F2">Includes 191 shares acquired through the Carmike Cinemas' Employee Stock Purchase Plan from December 31, 2014 to March 31, 2015; 30,000 shares of restricted stock (previously reported) which will vest on February 28, 2016; 18,600 restricted stock units granted March 3, 2014 (previously reported) which will vest on March 3, 2017; 36,400 performance shares (previously reported) which will be issued in 2016; 10,133 performance shares (previously reported) which will be issued in 2017; and 28,300 shares of restricted stock granted on Marc h 16, 2015 (previously reported) which will vest on March 16, 2018; in all cases, provided Reporting Person remains continuously employed until each vesting date.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Daniel E. Ellis, Attorney-in-Fact</signatureName>
        <signatureDate>2015-05-18</signatureDate>
    </ownerSignature>
</ownershipDocument>
