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Science_Sleuth 5d ago โ€ข 0 views

Test questions for partial quotients division with remainders

Hey there! ๐Ÿ‘‹ Learning partial quotients division with remainders can seem tricky, but it's super useful for solving real-world problems. This study guide and quiz will help you master it step-by-step. Let's dive in! ๐Ÿงฎ
๐Ÿงฎ Mathematics

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melvin_briggs Jan 2, 2026

๐Ÿ“š Quick Study Guide

  • โž— Partial quotients is a method of division where you break down the problem into smaller, more manageable parts.
  • ๐Ÿ“ The remainder is the amount left over after dividing one number by another.
  • ๐Ÿ”ข Steps for partial quotients division with remainders:
    1. Divide: Estimate how many times the divisor goes into the dividend.
    2. Multiply: Multiply the divisor by your estimate.
    3. Subtract: Subtract the result from the dividend.
    4. Repeat: Continue until you can't divide anymore.
    5. Remainder: The final amount left over is the remainder.
  • ๐Ÿ’ก Formula: Dividend = (Divisor ร— Quotient) + Remainder
  • โž• Example: $47 \div 5 = 9$ with a remainder of $2$ because $(5 \times 9) + 2 = 47$

โœ๏ธ Practice Quiz

  1. What is the quotient and remainder when 65 is divided by 7?
    1. Quotient: 8, Remainder: 9
    2. Quotient: 9, Remainder: 2
    3. Quotient: 7, Remainder: 6
    4. Quotient: 6, Remainder: 7
  2. Calculate $83 \div 9$ using partial quotients. What is the remainder?
    1. 0
    2. 1
    3. 2
    4. 3
  3. What is $125 \div 4$ with remainder?
    1. Quotient: 30, Remainder: 5
    2. Quotient: 31, Remainder: 1
    3. Quotient: 31, Remainder: 2
    4. Quotient: 30, Remainder: 4
  4. A farmer has 78 apples and wants to put them into bags of 8. How many full bags will he have, and how many apples will be left over?
    1. 9 bags, 5 apples left
    2. 8 bags, 6 apples left
    3. 9 bags, 6 apples left
    4. 10 bags, 2 apples left
  5. Solve $94 \div 11$ using partial quotients. What is the quotient?
    1. 7
    2. 8
    3. 9
    4. 10
  6. What is the remainder when 150 is divided by 12?
    1. 3
    2. 4
    3. 5
    4. 6
  7. If you divide 200 by 13, what is the remainder?
    1. 5
    2. 6
    3. 7
    4. 8
Click to see Answers
  1. B
  2. C
  3. B
  4. C
  5. B
  6. D
  7. A

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