Grade 4 Division - Kumon Publishing - Free Printable

Problem Analysis:

The task involves solving division problems where a two-digit number is divided by a one-digit number. The problems are presented in both horizontal and vertical forms, and some require finding the quotient and remainder.

Solution:

#### Section 1: Divide
1. Problem (1):
\( 10 \div 2 = \square \)
- Horizontal Form:
\( 10 \div 2 = 5 \)
- Vertical Form:
\[
\begin{array}{r|l}
2 & 10 \\
& \underline{10} \\
& 0
\end{array}
\]
The quotient is \( 5 \).
Answer: \( 5 \)

2. Problem (2):
\( 14 \div 3 = \square \text{ R } \square \)
- Horizontal Form:
\( 14 \div 3 = 4 \text{ R } 2 \)
- Vertical Form:
\[
\begin{array}{r|l}
3 & 14 \\
& \underline{12} \\
& 2
\end{array}
\]
The quotient is \( 4 \) and the remainder is \( 2 \).
Answer: \( 4 \text{ R } 2 \)

---

#### Section 2: Divide
This section contains multiple division problems. We will solve each one step by step.

1. Problem (1):
\( 2 \big) 12 \)
- Solution:
\[
\begin{array}{r|l}
2 & 12 \\
& \underline{12} \\
& 0
\end{array}
\]
Quotient: \( 6 \)
Answer: \( 6 \)

2. Problem (2):
\( 3 \big) 18 \)
- Solution:
\[
\begin{array}{r|l}
3 & 18 \\
& \underline{18} \\
& 0
\end{array}
\]
Quotient: \( 6 \)
Answer: \( 6 \)

3. Problem (3):
\( 4 \big) 24 \)
- Solution:
\[
\begin{array}{r|l}
4 & 24 \\
& \underline{24} \\
& 0
\end{array}
\]
Quotient: \( 6 \)
Answer: \( 6 \)

4. Problem (4):
\( 5 \big) 25 \)
- Solution:
\[
\begin{array}{r|l}
5 & 25 \\
& \underline{25} \\
& 0
\end{array}
\]
Quotient: \( 5 \)
Answer: \( 5 \)

5. Problem (5):
\( 6 \big) 30 \)
- Solution:
\[
\begin{array}{r|l}
6 & 30 \\
& \underline{30} \\
& 0
\end{array}
\]
Quotient: \( 5 \)
Answer: \( 5 \)

6. Problem (6):
\( 7 \big) 28 \)
- Solution:
\[
\begin{array}{r|l}
7 & 28 \\
& \underline{28} \\
& 0
\end{array}
\]
Quotient: \( 4 \)
Answer: \( 4 \)

7. Problem (7):
\( 8 \big) 32 \)
- Solution:
\[
\begin{array}{r|l}
8 & 32 \\
& \underline{32} \\
& 0
\end{array}
\]
Quotient: \( 4 \)
Answer: \( 4 \)

8. Problem (8):
\( 9 \big) 36 \)
- Solution:
\[
\begin{array}{r|l}
9 & 36 \\
& \underline{36} \\
& 0
\end{array}
\]
Quotient: \( 4 \)
Answer: \( 4 \)

9. Problem (9):
\( 2 \big) 15 \)
- Solution:
\[
\begin{array}{r|l}
2 & 15 \\
& \underline{14} \\
& 1
\end{array}
\]
Quotient: \( 7 \), Remainder: \( 1 \)
Answer: \( 7 \text{ R } 1 \)

10. Problem (10):
\( 3 \big) 20 \)
- Solution:
\[
\begin{array}{r|l}
3 & 20 \\
& \underline{18} \\
& 2
\end{array}
\]
Quotient: \( 6 \), Remainder: \( 2 \)
Answer: \( 6 \text{ R } 2 \)

11. Problem (11):
\( 4 \big) 26 \)
- Solution:
\[
\begin{array}{r|l}
4 & 26 \\
& \underline{24} \\
& 2
\end{array}
\]
Quotient: \( 6 \), Remainder: \( 2 \)
Answer: \( 6 \text{ R } 2 \)

12. Problem (12):
\( 5 \big) 26 \)
- Solution:
\[
\begin{array}{r|l}
5 & 26 \\
& \underline{25} \\
& 1
\end{array}
\]
Quotient: \( 5 \), Remainder: \( 1 \)
Answer: \( 5 \text{ R } 1 \)

13. Problem (13):
\( 5 \big) 33 \)
- Solution:
\[
\begin{array}{r|l}
5 & 33 \\
& \underline{30} \\
& 3
\end{array}
\]
Quotient: \( 6 \), Remainder: \( 3 \)
Answer: \( 6 \text{ R } 3 \)

14. Problem (14):
\( 6 \big) 37 \)
- Solution:
\[
\begin{array}{r|l}
6 & 37 \\
& \underline{36} \\
& 1
\end{array}
\]
Quotient: \( 6 \), Remainder: \( 1 \)
Answer: \( 6 \text{ R } 1 \)

15. Problem (15):
\( 7 \big) 44 \)
- Solution:
\[
\begin{array}{r|l}
7 & 44 \\
& \underline{42} \\
& 2
\end{array}
\]
Quotient: \( 6 \), Remainder: \( 2 \)
Answer: \( 6 \text{ R } 2 \)

16. Problem (16):
\( 8 \big) 46 \)
- Solution:
\[
\begin{array}{r|l}
8 & 46 \\
& \underline{40} \\
& 6
\end{array}
\]
Quotient: \( 5 \), Remainder: \( 6 \)
Answer: \( 5 \text{ R } 6 \)

17. Problem (17):
\( 8 \big) 70 \)
- Solution:
\[
\begin{array}{r|l}
8 & 70 \\
& \underline{64} \\
& 6
\end{array}
\]
Quotient: \( 8 \), Remainder: \( 6 \)
Answer: \( 8 \text{ R } 6 \)

18. Problem (18):
\( 9 \big) 76 \)
- Solution:
\[
\begin{array}{r|l}
9 & 76 \\
& \underline{72} \\
& 4
\end{array}
\]
Quotient: \( 8 \), Remainder: \( 4 \)
Answer: \( 8 \text{ R } 4 \)

---

Final Answers:

1. \( 10 \div 2 = \boxed{5} \)
2. \( 14 \div 3 = \boxed{4 \text{ R } 2} \)

Section 2:
1. \( 6 \)
2. \( 6 \)
3. \( 6 \)
4. \( 5 \)
5. \( 5 \)
6. \( 4 \)
7. \( 4 \)
8. \( 4 \)
9. \( 7 \text{ R } 1 \)
10. \( 6 \text{ R } 2 \)
11. \( 6 \text{ R } 2 \)
12. \( 5 \text{ R } 1 \)
13. \( 6 \text{ R } 3 \)
14. \( 6 \text{ R } 1 \)
15. \( 6 \text{ R } 2 \)
16. \( 5 \text{ R } 6 \)
17. \( 8 \text{ R } 6 \)
18. \( 8 \text{ R } 4 \)

\(\boxed{\text{All answers are provided above.}}\)