<?xml version="1.0" encoding="us-ascii"?>
<!-- DFIN ActiveDisclosure(SM) XBRL Schema Document - http://www.dfinsolutions.com/ -->
<!-- Creation Date      : 2021-05-11T22:47:00.4903315+00:00 -->
<!-- Version            : 5.0.1.615 -->
<!-- Package ID         : ef5f7638fcaa463981c0491e3a9b8e34 -->
<!-- Copyright (c) 2021 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
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  <xsd:element id="qrhc_MinimumNetProceedsReceivableByWarrantHolders" name="MinimumNetProceedsReceivableByWarrantHolders" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="qrhc_LongTermLiabilityRelatedToAcquisition" name="LongTermLiabilityRelatedToAcquisition" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="qrhc_EarnOutLiabilityInConnectionWithAcquisition" name="EarnOutLiabilityInConnectionWithAcquisition" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="qrhc_OperatingLeasePeriod" name="OperatingLeasePeriod" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="qrhc_OperatingLeasesExpiringPeriod" name="OperatingLeasesExpiringPeriod" type="xbrli:gYearMonthItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="qrhc_OperatingLeaseMinimumAnnualIncentivePayment" name="OperatingLeaseMinimumAnnualIncentivePayment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="qrhc_SubleaseCommencementPeriod" name="SubleaseCommencementPeriod" type="xbrli:dateItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="qrhc_SubleaseExpirationMonthAndYear" name="SubleaseExpirationMonthAndYear" type="xbrli:gYearMonthItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="qrhc_SubleaseIncomeNet" name="SubleaseIncomeNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="qrhc_NumberOfCustomersAccountedForMoreThanTenPercentageOfRevenue" name="NumberOfCustomersAccountedForMoreThanTenPercentageOfRevenue" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="qrhc_RevenueRecognitionLineItems" name="RevenueRecognitionLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_RevenueRecognitionTable" name="RevenueRecognitionTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_ServicesMember" name="ServicesMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_ProductSalesAndOtherMember" name="ProductSalesAndOtherMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_IncomeTaxLineItems" name="IncomeTaxLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_IncomeTaxTable" name="IncomeTaxTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_NetOperatingLossCarryforwardsExpirationBeginningYear" name="NetOperatingLossCarryforwardsExpirationBeginningYear" type="xbrli:gYearItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="qrhc_NetOperatingLossCarryforwardsExpirationEndingYear" name="NetOperatingLossCarryforwardsExpirationEndingYear" type="xbrli:gYearItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="qrhc_EmployeeStockPurchasePlanExpense" name="EmployeeStockPurchasePlanExpense" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="qrhc_WarrantsRangeOneOutstandingMember" name="WarrantsRangeOneOutstandingMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_WarrantsRangeTwoExercisedMember" name="WarrantsRangeTwoExercisedMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_WarrantsRangeThreeCanceledForfeitedMember" name="WarrantsRangeThreeCanceledForfeitedMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_WarrantsRangeFourOutstandingMember" name="WarrantsRangeFourOutstandingMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_WarrantsIssueDate" name="WarrantsIssueDate" type="xbrli:dateItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="qrhc_ExercisableWarrantsMember" name="ExercisableWarrantsMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_WarrantsOneMember" name="WarrantsOneMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_RangeOneOutstandingMember" name="RangeOneOutstandingMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_RangeTwoGrantedMember" name="RangeTwoGrantedMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_RangeThreeExercisedMember" name="RangeThreeExercisedMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_RangeFourCanceledForfeitedMember" name="RangeFourCanceledForfeitedMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_RangeFourOutstandingMember" name="RangeFourOutstandingMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_ScheduleOfStockholdersEquityLineItems" name="ScheduleOfStockholdersEquityLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_ScheduleOfStockholdersEquityTable" name="ScheduleOfStockholdersEquityTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_DeferredStockUnitsMember" name="DeferredStockUnitsMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_ExecutiveEmployeesMember" name="ExecutiveEmployeesMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="qrhc_AntiDilutiveSecuritiesExcludedFromDilutedNetIncomeLossPerShareAbstract" name="AntiDilutiveSecuritiesExcludedFromDilutedNetIncomeLossPerShareAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
</xsd:schema>
