Practice with Our Flashcards

Example: Dividing 473 by 5

To divide 473 by 5 using partial quotients, follow these steps:

1. Rewrite the Problem:Rewrite 473 ÷ 5 as a division problem formatted to use partial quotients.
   

2. Estimate the Quotients:Estimate how many times 5 can go into 473 without exceeding it.
   Start with larger, easy-to-calculate numbers. Let's start with 20.
   

3. Calculate and Subtract:20×5=10020 \times 5 = 10020×5=100
   Subtract 100 from 473: 473−100=373473 - 100 = 373473−100=373
   

4. Continue Estimating:Estimate how many times 5 can go into 373.
   Let's try 60: 60×5=30060 \times 5 = 30060×5=300
   Subtract 300 from 373: 373−300=73373 - 300 = 73373−300=73
   

5. Further Estimations:Estimate how many times 5 can go into 73.
   Let's try 12: 12×5=6012 \times 5 = 6012×5=60
   Subtract 60 from 73: 73−60=1373 - 60 = 1373−60=13
   

6. Final Estimation:Estimate how many times 5 can go into 13.
   Let's try 2: 2×5=102 \times 5 = 102×5=10
   Subtract 10 from 13: 13−10=313 - 10 = 313−10=3
   

7. Add the Partial Quotients:Add the partial quotients: 20+60+12+2=9420 + 60 + 12 + 2 = 9420+60+12+2=94
   Therefore, 473 ÷ 5 equals 94 with a remainder of 3.
   

Conclusion

Using partial quotients to simplify division problems can make complex calculations easier and more intuitive. By breaking down the division process into manageable steps and leveraging basic arithmetic properties, students can confidently tackle division problems, even when there is a remainder.

Practice these techniques with our flashcards and video to become proficient in dividing using partial quotients, and don't forget to check out Khan Academy’s detailed explanations and examples for a deeper understanding.