Partial Quotients Examples: Solved 3-Digit Division Problems

📚 Partial Quotients with 3-Digit Dividends: A Quick Study Guide

• ➗ The partial quotients method breaks down division into smaller, manageable steps.
• ➕ We repeatedly subtract multiples of the divisor from the dividend.
• 🔢 Each multiple we subtract is a 'partial quotient'.
• ✅ We continue until the remaining value is less than the divisor.
• ➕ Finally, we add up all the partial quotients to find the final quotient.
• ✏️ Remember to keep track of your subtractions and partial quotients neatly!

Practice Quiz

1. What is the first step in solving 468 ÷ 12 using partial quotients?
   1. Subtract 12 from 468
   2. Divide 468 by 2
   3. Find a multiple of 12 that is easy to subtract from 468
   4. Add 468 and 12
2. When using partial quotients to solve 525 ÷ 15, which of the following is a good first partial quotient to use?
   1. 5
   2. 50
   3. 2
   4. 200
3. In the problem 672 ÷ 16, after subtracting 16 × 20 and 16 × 20 again, what should you do next?
   1. Stop, the answer is 40
   2. Subtract 16 × 1 again
   3. Find another multiple of 16 to subtract from the remaining value
   4. Add 20 and 20
4. What is the quotient of 384 ÷ 8 using partial quotients?
   1. 32
   2. 64
   3. 48
   4. 52
5. When solving 288 ÷ 12 using partial quotients, if you subtract 12 × 10 twice, what is the remaining value?
   1. 28
   2. 48
   3. 38
   4. 144
6. What is the value of 765 ÷ 17, using the method of partial quotients?
   1. 35
   2. 45
   3. 25
   4. 15
7. What is the final step to find the quotient once you have subtracted all the partial quotients?
   1. Multiply all the partial quotients
   2. Add all the partial quotients
   3. Divide all the partial quotients
   4. Subtract all the partial quotients