Lesson 5: Dividing Multi-Digit Numbers Using Area Models and Partial Quotients — Practice Questions

1. 1. Use the partial quotients method to find the quotient of $544 \div 16$. The quotient is ___.

2. 2. In the partial quotients method, after you have repeatedly subtracted multiples of the divisor, what is the final step to find the quotient?

   • A. Add all the partial quotients.
   • B. Multiply all the partial quotients.
   • C. Use the largest partial quotient as the answer.
   • D. Subtract the remainder from the first partial quotient.

3. 3. A student solves a division problem using partial quotients. The partial quotients they found are $50$, $20$, and $3$. What is the final quotient? The final quotient is ___.

4. 4. When solving $735 \div 15$ using partial quotients, which of the following is a reasonable first step?

   • A. Subtract $15 \times 50$ from $735$.
   • B. Subtract $15 \times 40$ from $735$.
   • C. Add $15 + 40$ to $735$.
   • D. Subtract $15 \times 100$ from $735$.

5. 5. Using the partial quotients method to solve $248 \div 7$, the quotient is $35$ with a remainder. What is the value of the remainder? The remainder is ___.

6. 6. An area model is used to solve $105 \div 15$. The dividend 105 is partitioned into $75 + 30$. What is the final quotient? ___

7. 7. To solve $208 \div 16$, a student partitions the dividend into $160 + 48$. The first partial quotient is $160 \div 16 = 10$. What is the second partial quotient? ___

8. 8. An area model is used to calculate $624 \div 24$. The dividend is partitioned, and the partial quotients are found to be 20 and 6. What is the final quotient? ___

9. 9. Using the area model method, find the value of $132 \div 11$. ___

10. 10. To calculate $468 \div 18$, the dividend is partitioned into $360 + 108$. Based on this partition, what is the quotient? ___