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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2016-12-21</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001417031</rptOwnerCik>
            <rptOwnerName>Bell Mark R</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>CARMIKE CINEMAS, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>P.O. BOX 391</rptOwnerStreet2>
            <rptOwnerCity>COLUMBUS</rptOwnerCity>
            <rptOwnerState>GA</rptOwnerState>
            <rptOwnerZipCode>31902-0391</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2016-12-21</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>19061</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">As of December 21, 2016, Issuer was acquired by AMC Entertainment Holdings, Inc. (&quot;AMC&quot;) pursuant to an Amended and Restated Plan of Merger Agreement dated July 24, 2016 (Merger Agreement&quot;), as more fully described in the Issuer Proxy Statement/Prospectus dated October 13, 2016 (&quot;Proxy&quot;) and filed by the Issuer with the SEC on October 11, 2016 (the &quot;Merger&quot;). Each outstanding share of Issuer Common Stock was converted either into $33.06 in cash or 1.0819 shares of AMC Class A Common Stock (&quot;Merger Consideration&quot;) with cash paid for any fractional shares. The choice of consideration received was at the election of the  holder of Issuer equity securities, subject to the limitations described in the Proxy. All dispositions by Reporting Person in the Merger were approved in advance by the Issuer Board of Directors.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Daniel E. Ellis, Attorney in Fact</signatureName>
        <signatureDate>2016-12-21</signatureDate>
    </ownerSignature>
</ownershipDocument>
