Test questions for partial quotients division with remainders

📚 Quick Study Guide

• ➗ Partial quotients is a method of division where you break down the problem into smaller, more manageable parts.
• 📝 The remainder is the amount left over after dividing one number by another.
• 🔢 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.
• 💡 Formula: Dividend = (Divisor × Quotient) + Remainder
• ➕ Example: $47 \div 5 = 9$ with a remainder of $2$ because $(5 \times 9) + 2 = 47$

✍️ 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