Evaluate:
`14.25div 3`

Answer

To evaluate \( 14.25 \div 3 \), we will perform the division step by step.

### Step 1: Set up the division
We will write \( 14.25 \) (the dividend) inside the division bracket and \( 3 \) (the divisor) outside.

\[ \begin{array}{r|l} 3 & 14.25 \\ \end{array} \]

### Step 2: Divide the whole number part
First, we look at the whole number part, which is \( 14 \). We need to find how many times \( 3 \) can fit into \( 14 \).

- \( 3 \times 4 = 12 \) (this is the largest multiple of \( 3 \) that is less than \( 14 \))
- Subtract \( 12 \) from \( 14 \):
\[ 14 - 12 = 2 \]

### Step 3: Bring down the decimal
Next, we place the decimal point in the quotient (the answer) directly above the decimal point in the dividend. Now we bring down the next digit, which is \( 2 \), making it \( 2 \).

\[ \begin{array}{r|l} 3 & 14.25 \\ & 4 \\ \hline & 12 \\ & 2 \\ \end{array} \]

### Step 4: Divide again
Now we need to divide \( 22 \) (which is \( 2 \) brought down) by \( 3 \).

- \( 3 \times 7 = 21 \) (this is the largest multiple of \( 3 \) that is less than \( 22 \))
- Subtract \( 21 \) from \( 22 \):
\[ 22 - 21 = 1 \]

### Step 5: Bring down the next digit
Now we bring down the next digit, which is \( 5 \), making it \( 15 \).

\[ \begin{array}{r|l} 3 & 14.25 \\ & 4.7 \\ \hline & 12 \\ & 22 \\ & 21 \\ & 1 \\ \end{array} \]

### Step 6: Divide again
Now we divide \( 15 \) by \( 3 \).

- \( 3 \times 5 = 15 \)
- Subtract \( 15 \) from \( 15 \):
\[ 15 - 15 = 0 \]

### Step 7: Write the final answer
Since there are no more digits to bring down and the remainder is \( 0 \), we conclude that:

\[ 14.25 \div 3 = 4.75 \]

### Final Answer:
The answer is \( 4.75 \).

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