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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2021-04-19</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000890196</issuerCik>
        <issuerName>BLACKROCK MUNIYIELD QUALITY FUND, INC.</issuerName>
        <issuerTradingSymbol>MQY</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000072971</rptOwnerCik>
            <rptOwnerName>WELLS FARGO &amp; COMPANY/MN</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>420 MONTGOMERY STREET</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94104</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000740906</rptOwnerCik>
            <rptOwnerName>WELLS FARGO BANK N A</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>101 NORTH PHILLIPS AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SIOUX FALLS</rptOwnerCity>
            <rptOwnerState>SD</rptOwnerState>
            <rptOwnerZipCode>57104</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Variable Rate Demand Preferred Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2021-04-19</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2737</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>4503</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                    <footnoteId id="F3"/>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Subsidiary</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">In connection with the reorganization of BlackRock Maryland Municipal Bond Trust (&quot;BZM&quot;), BlackRock Massachusetts Tax-Exempt Trust (&quot;MHE&quot;), BlackRock MuniYield Arizona Fund, Inc. (&quot;MZA&quot;), BlackRock MuniYield Investment Fund (&quot;MYF&quot;) and BlackRock MuniEnhanced Fund, Inc. (&quot;MEN&quot;) into the Issuer, 185 Series W-7 Variable Rate Demand Preferred Shares (&quot;VRDP Shares&quot;) of MHE, 373 VRDP Shares of MZA and 1,425 VRDP Shares of MEN beneficially owned by Wells Fargo Bank, N.A. (&quot;WFBNA&quot;) were exchanged for an equal number of VRDP Shares of the Issuer in a cashless transaction.</footnote>
        <footnote id="F2">In addition to the VRDP Shares of MHE, MZA and MEN that were exchanged for an equal number of VRDP Shares of the Issuer, 754 VRDP Shares of the Issuer were acquired as a result of a purchase of the VRDP Shares in an open market transaction for a purchase price of $100,000 per share. WFBNA is a wholly owned subsidiary of Wells Fargo &amp; Company (&quot;Wells Fargo&quot;).</footnote>
        <footnote id="F3">This statement is jointly filed by Wells Fargo and WFBNA. Wells Fargo holds an indirect interest in the securities listed in Table I by virtue of its indirect ownership of its subsidiary WFBNA.</footnote>
        <footnote id="F4">Each reporting person declares that neither the filing of this statement nor anything herein shall be construed as an admission that such person is, for the purposes of Section 13(d) of the US Securities Exchange Act of 1934 or any other purpose, (i) acting (or has agreed or is agreeing to act together with any other person) as a partnership, limited partnership, syndicate or other group for the purpose of acquiring, holding or disposing of securities of the Issuer or otherwise with respect to the Issuer or any securities of the Issuer or (ii) a member of any group with respect to the Issuer or any securities of the Issuer.</footnote>
    </footnotes>

    <remarks>Exhibits Index
Exhibit 99.1 - Joint Filing Agreement
Exhibit 99.2 - Joint Filer Information</remarks>

    <ownerSignature>
        <signatureName>WELLS FARGO &amp; COMPANY, by: /s/ Patricia Arce</signatureName>
        <signatureDate>2021-04-21</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>WELLS FARGO BANK, N.A., by: /s/ Alejandro Piekarewicz</signatureName>
        <signatureDate>2021-04-21</signatureDate>
    </ownerSignature>
</ownershipDocument>
