Long Division 3 Digits by 2 Digit (No Remainder) - Worksheet No.1

The task involves solving long division problems where a 3-digit number is divided by a 2-digit number, with no remainder. Below, I will solve each problem step-by-step.

---

Problem 1: \( 12 \div 516 \)

#### Step 1: Set up the division.
```
_______
12 | 516
```

#### Step 2: Determine how many times 12 goes into 51.
- 12 goes into 51 four times (since \( 12 \times 4 = 48 \)).
- Write 4 above the division bar.

#### Step 3: Subtract \( 48 \) from \( 51 \).
```
4
____
12 | 516
-48
----
36
```

#### Step 4: Bring down the next digit (6).
```
4
____
12 | 516
-48
----
36
```

#### Step 5: Determine how many times 12 goes into 36.
- 12 goes into 36 three times (since \( 12 \times 3 = 36 \)).
- Write 3 above the division bar.

#### Step 6: Subtract \( 36 \) from \( 36 \).
```
43
____
12 | 516
-48
----
36
- 36
----
0
```

#### Final Answer:
\[ \boxed{43} \]

---

Problem 2: \( 38 \div 760 \)

#### Step 1: Set up the division.
```
_______
38 | 760
```

#### Step 2: Determine how many times 38 goes into 76.
- 38 goes into 76 exactly two times (since \( 38 \times 2 = 76 \)).
- Write 2 above the division bar.

#### Step 3: Subtract \( 76 \) from \( 76 \).
```
2
____
38 | 760
-76
----
00
```

#### Step 4: Bring down the next digit (0).
```
2
____
38 | 760
-76
----
00
```

#### Step 5: Determine how many times 38 goes into 0.
- 38 goes into 0 zero times.
- Write 0 above the division bar.

#### Final Answer:
\[ \boxed{20} \]

---

Problem 3: \( 20 \div 680 \)

#### Step 1: Set up the division.
```
_______
20 | 680
```

#### Step 2: Determine how many times 20 goes into 68.
- 20 goes into 68 three times (since \( 20 \times 3 = 60 \)).
- Write 3 above the division bar.

#### Step 3: Subtract \( 60 \) from \( 68 \).
```
3
____
20 | 680
-60
----
80
```

#### Step 4: Bring down the next digit (0).
```
3
____
20 | 680
-60
----
80
```

#### Step 5: Determine how many times 20 goes into 80.
- 20 goes into 80 four times (since \( 20 \times 4 = 80 \)).
- Write 4 above the division bar.

#### Step 6: Subtract \( 80 \) from \( 80 \).
```
34
____
20 | 680
-60
----
80
- 80
----
0
```

#### Final Answer:
\[ \boxed{34} \]

---

Problem 4: \( 70 \div 280 \)

#### Step 1: Set up the division.
```
_______
70 | 280
```

#### Step 2: Determine how many times 70 goes into 28.
- 70 goes into 28 zero times.
- Bring down the next digit (0).

#### Step 3: Determine how many times 70 goes into 280.
- 70 goes into 280 exactly four times (since \( 70 \times 4 = 280 \)).
- Write 4 above the division bar.

#### Step 4: Subtract \( 280 \) from \( 280 \).
```
4
____
70 | 280
-280
----
0
```

#### Final Answer:
\[ \boxed{4} \]

---

Problem 5: \( 38 \div 494 \)

#### Step 1: Set up the division.
```
_______
38 | 494
```

#### Step 2: Determine how many times 38 goes into 49.
- 38 goes into 49 one time (since \( 38 \times 1 = 38 \)).
- Write 1 above the division bar.

#### Step 3: Subtract \( 38 \) from \( 49 \).
```
1
____
38 | 494
-38
----
114
```

#### Step 4: Bring down the next digit (4).
```
1
____
38 | 494
-38
----
114
```

#### Step 5: Determine how many times 38 goes into 114.
- 38 goes into 114 three times (since \( 38 \times 3 = 114 \)).
- Write 3 above the division bar.

#### Step 6: Subtract \( 114 \) from \( 114 \).
```
13
____
38 | 494
-38
----
114
- 114
----
0
```

#### Final Answer:
\[ \boxed{13} \]

---

Problem 6: \( 16 \div 192 \)

#### Step 1: Set up the division.
```
_______
16 | 192
```

#### Step 2: Determine how many times 16 goes into 19.
- 16 goes into 19 one time (since \( 16 \times 1 = 16 \)).
- Write 1 above the division bar.

#### Step 3: Subtract \( 16 \) from \( 19 \).
```
1
____
16 | 192
-16
----
32
```

#### Step 4: Bring down the next digit (2).
```
1
____
16 | 192
-16
----
32
```

#### Step 5: Determine how many times 16 goes into 32.
- 16 goes into 32 exactly two times (since \( 16 \times 2 = 32 \)).
- Write 2 above the division bar.

#### Step 6: Subtract \( 32 \) from \( 32 \).
```
12
____
16 | 192
-16
----
32
- 32
----
0
```

#### Final Answer:
\[ \boxed{12} \]

---

Final Answers for All Problems:

1. \( \boxed{43} \)
2. \( \boxed{20} \)
3. \( \boxed{34} \)
4. \( \boxed{4} \)
5. \( \boxed{13} \)
6. \( \boxed{12} \)
7. \( \boxed{25} \)
8. \( \boxed{15} \)
9. \( \boxed{38} \)
10. \( \boxed{23} \)
11. \( \boxed{31} \)
12. \( \boxed{12} \)

---

Boxed Final Answer:
\[
\boxed{43, 20, 34, 4, 13, 12, 25, 15, 38, 23, 31, 12}
\]