# Practice with Our Flashcards

## Master Division Using Partial Quotients (with Remainder): Explained and Flashcards

To help you solidify your understanding, we’ve created a set of flashcards and a practice video. These tools will help you test your knowledge and improve your skills in dividing using partial quotients.

## Division Using Partial Quotients

###### Example: Dividing 473 by 5

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

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

**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.

**Calculate and Subtract:**20×5=10020 \times 5 = 10020×5=100

Subtract 100 from 473: 473−100=373473 - 100 = 373473−100=373

**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

**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

**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

**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.

The best resource for learning how to divide using partial quotients is Khan Academy. They provide an excellent explanation and step-by-step guide to this method, making division problems more manageable. You can watch their detailed video explanation embedded below: