1. An area model is used to solve the division problem $58 \div 4$. After finding the partial quotients, what is the final remainder? ___
2. When using an area model to represent a division problem, what does the total area of the rectangle represent?
3. A division problem is modeled with a total area of 67 and a side length (divisor) of 5. The final quotient is 13. What is the leftover area (remainder)? ___
4. When solving $78 \div 4$ with an area model, which of these is a helpful first step to find a partial quotient?
5. To solve $137 \div 6$ with an area model, a student first divides $120$ by $6$ to get a partial quotient of $20$. What is the final remainder of the division? ___
6. When dividing 75 by 5 using partial quotients, the first number subtracted is 50. In the corresponding area model, what does the number 50 represent?
7. A student is solving $92 \div 7$. In an area model, they use a first partial length (partial quotient) of 10. What is the partial area they calculate for this section? This is the first number subtracted in the standard algorithm. ___
8. In the problem $68 \div 4$, the partial quotients are 10 and 7. In an area model with a width of 4, what do the numbers 10 and 7 represent?
9. When solving $47 \div 3$ using the standard algorithm, the first step is to subtract 30 from 47. What is the first partial quotient that corresponds to this step? ___
10. When solving $59 \div 5$, the final number left over at the bottom of the standard algorithm is 4. What does this number represent in the area model?