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  • Lesson 6.3 The Partial-quotients Division Algorithm, Part 1

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Write the problem in the traditional form: 7127. Point out that the dividend the number that is being divided is 127. The divisor the number that the dividend .

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Let's take another example where 471 is divided by 35. In this case, we will try to reduce the entire number by multiplying 35 by 10, which gives us 350. The result of 471 minus 350 gives us 121. The partial quotient is 10.

0:29 12:01 5th Grade Math 2.4, Partial Quotients to Divide by 2-digit Divisors YouTube Start of suggested clip End of suggested clip 21 times 10 is 210 we subtract it from the dividend we get 504. We subtract another 210. We get 294More21 times 10 is 210 we subtract it from the dividend we get 504. We subtract another 210. We get 294 we subtract another 210 we get 84. And 21 times 4 is 84. We subtract that and get a zero.

Let's take another example where 471 is divided by 35. In this case, we will try to reduce the entire number by multiplying 35 by 10, which gives us 350. The result of 471 minus 350 gives us 121. The partial quotient is 10.

0:05 2:08 Math-What is a quotient? - YouTube YouTube Start of suggested clip End of suggested clip The 5 is the divisor. And 7 would be the quotient. Next it may take a little bit different form theMoreThe 5 is the divisor. And 7 would be the quotient. Next it may take a little bit different form the 35 is the dividend. And it's inside the brackets the 5 is on the outside.

The division algorithm formula is: Dividend = (Divisor × Quotient) + Remainder. This can also be written as: p(x) = q(x) × g(x) + r(x), where, p(x) is the dividend. q(x) is the quotient.

0:01 17:50 4th Grade Math 4.8, Divide Using Partial Quotients - YouTube YouTube Start of suggested clip End of suggested clip And so on we have 75 our dividend and we think of a nice big multiple of five that we can subtract.MoreAnd so on we have 75 our dividend and we think of a nice big multiple of five that we can subtract. So we think of 10 times 5 is 50.. Our difference is 25.

0:53 14:07 Math Antics - Division With Partial Quotients - YouTube YouTube Start of suggested clip End of suggested clip From the multiplication table we know that 3 times 5 equals fifteen. So we put a 3 in our answerMoreFrom the multiplication table we know that 3 times 5 equals fifteen. So we put a 3 in our answer line above the six then we multiply 3 times 5 to get 15 and put that below our dividend.

The factor or the number with which the divisor is multiplied is the partial quotient. So, we keep multiplying the divisor with a number and subtract that product from the dividend until the difference is less than the divisor or equal to 0.

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© Copyright 1997-2025
airSlate Legal Forms, Inc.
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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
Privacy Notice
Legal Hub
Content Takedown Policy
Bug Bounty Program
About Us
Help Portal
Legal Resources
Blog
Affiliates
Contact Us
Delete My Account
Site Map
Industries
Forms in Spanish
Localized Forms
State-specific Forms
Forms Kit
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate WorkFlow
DocHub
Instapage
Social Media
Call us now toll free:
+1 833 426 79 33
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232