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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-05-19</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001590955</issuerCik>
        <issuerName>Paycom Software, Inc.</issuerName>
        <issuerTradingSymbol>PAYC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001594487</rptOwnerCik>
            <rptOwnerName>Richison Chad R.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>7501 W. MEMORIAL ROAD</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>OKLAHOMA CITY</rptOwnerCity>
            <rptOwnerState>OK</rptOwnerState>
            <rptOwnerZipCode>73142</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>President and CEO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-05-19</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>420865</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>268.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>3772505</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-05-19</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>229135</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>268.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By The Ruby Group, Inc.</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>3670999</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Ernest Group, Inc.</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>56</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Abrie R. Richison 2012 Irrevocable Trust U/T/A DTD 12/21/2012</value>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>56</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Ava L. Richison 2012 Irrevocable Trust U/T/A DTD 12/21/2012</value>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>56</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Ian D. Richison 2012 Irrevocable Trust U/T/A DTD 12/21/2012</value>
                    <footnoteId id="F6"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Includes 224,000 unvested shares of restricted stock.</footnote>
        <footnote id="F2">Represents shares of common stock owned by The Ruby Group, Inc. (&quot;Ruby Group&quot;).  The reporting person is the sole director and sole shareholder of Ruby Group and may be deemed to beneficially own the shares of common stock owned by Ruby Group.</footnote>
        <footnote id="F3">Represents shares of common stock owned by Ernest Group, Inc. (&quot;Ernest Group&quot;).  The reporting person is the sole director of Ernest Group and Ernest Group is wholly owned by the reporting person and certain trusts for the reporting person's children, for which the reporting person serves as trustee.  The reporting person may be deemed to beneficially own the shares of common stock owned by Ernest Group.</footnote>
        <footnote id="F4">Represents shares of common stock owned by the Abrie R. Richison 2012 Irrevocable Trust U/T/A DTD 12/21/2012 (the &quot;Abrie R. Richison 2012 Irrevocable Trust&quot;). The reporting person is the settlor and sole trustee for the Abrie R. Richison 2012 Irrevocable Trust, which is for the benefit of the reporting person's child. The reporting person may be deemed to beneficially own the shares of common stock owned by the Abrie R. Richison 2012 Irrevocable Trust.</footnote>
        <footnote id="F5">Represents shares of common stock owned by the Ava L. Richison 2012 Irrevocable Trust U/T/A DTD 12/21/2012 (the &quot;Ava L. Richison 2012 Irrevocable Trust&quot;). The reporting person is the settlor and sole trustee for the Ava L. Richison 2012 Irrevocable Trust, which is for the benefit of the reporting person's child. The reporting person may be deemed to beneficially own the shares of common stock owned by the Ava L. Richison 2012 Irrevocable Trust.</footnote>
        <footnote id="F6">Represents shares of common stock owned by the Ian D. Richison 2012 Irrevocable Trust U/T/A DTD 12/21/2012 (the &quot;Ian D. Richison 2012 Irrevocable Trust&quot;). The reporting person is the settlor and sole trustee for the Ian D. Richison 2012 Irrevocable Trust, which is for the benefit of the reporting person's child. The reporting person may be deemed to beneficially own the shares of common stock owned by the Ian D. Richison 2012 Irrevocable Trust.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Chad R. Richison</signatureName>
        <signatureDate>2020-05-21</signatureDate>
    </ownerSignature>
</ownershipDocument>
