Evaluate the
`2.30 div 1.4`

Answer

To evaluate \( 2.30 \div 1.4 \), we can follow these steps:

### Step 1: Eliminate the Decimal
To simplify the division, we can eliminate the decimal by multiplying both the dividend (2.30) and the divisor (1.4) by 10. This shifts the decimal point one place to the right.

\[ 2.30 \times 10 = 23.0 \]
\[ 1.4 \times 10 = 14 \]

Now, we rewrite the division as:

\[ 23.0 \div 14 \]

### Step 2: Set Up the Long Division
We will now perform long division of 23.0 by 14.

1. **How many times does 14 go into 23?**
- 14 goes into 23 once (1 time).
- \( 14 \times 1 = 14 \)

2. **Subtract 14 from 23:**
\[ 23 - 14 = 9 \]

3. **Bring down the next digit (0):**
- Now we have 90.

### Step 3: Continue the Division
Now we need to see how many times 14 goes into 90.

1. **How many times does 14 go into 90?**
- 14 goes into 90 six times (6 times).
- \( 14 \times 6 = 84 \)

2. **Subtract 84 from 90:**
\[ 90 - 84 = 6 \]

3. **Bring down another 0:**
- Now we have 60.

### Step 4: Final Division
Now we need to see how many times 14 goes into 60.

1. **How many times does 14 go into 60?**
- 14 goes into 60 four times (4 times).
- \( 14 \times 4 = 56 \)

2. **Subtract 56 from 60:**
\[ 60 - 56 = 4 \]

3. **Bring down another 0:**
- Now we have 40.

### Step 5: Continue the Process
Now we need to see how many times 14 goes into 40.

1. **How many times does 14 go into 40?**
- 14 goes into 40 two times (2 times).
- \( 14 \times 2 = 28 \)

2. **Subtract 28 from 40:**
\[ 40 - 28 = 12 \]

3. **Bring down another 0:**
- Now we have 120.

### Step 6: Final Calculation
Now we need to see how many times 14 goes into 120.

1. **How many times does 14 go into 120?**
- 14 goes into 120 eight times (8 times).
- \( 14 \times 8 = 112 \)

2. **Subtract 112 from 120:**
\[ 120 - 112 = 8 \]

3. **Bring down another 0:**
- Now we have 80.

### Step 7: Conclusion
Continuing this process will give us a repeating decimal. However, for our purposes, we can round it off. The final result of \( 2.30 \div 1.4 \) is approximately:

\[ 1.64 \]

### Final Answer
Thus, the answer to \( 2.30 \div 1.4 \) is \( 1.64 \).

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