The quotient when 0.00639 is divided by 0.213 is

Options

A. 0.3
B. 0.03
C. 0.003
D. 3

Answer

To find the quotient when 0.00639 is divided by 0.213, we can follow these steps:

### Step 1: Remove the Decimals
To simplify the division, we can eliminate the decimals by multiplying both the numerator (0.00639) and the denominator (0.213) by 1000, which is the power of 10 that will move the decimal point in 0.00639 three places to the right.

**Calculation:**
- Numerator: \(0.00639 \times 1000 = 6.39\)
- Denominator: \(0.213 \times 1000 = 213\)

Now, we need to divide \(6.39\) by \(213\).

### Step 2: Perform the Division
Next, we will divide \(6.39\) by \(213\).

**Calculation:**
- \(6.39 \div 213\)

To make the division easier, we can convert \(6.39\) into a fraction:
- \(6.39 = 639/100\)

Now, we can rewrite the division as:
\[ \frac{639/100}{213} = \frac{639}{213 \times 100} \]

### Step 3: Simplify the Division
Now we need to perform the division \(639 \div 213\).

**Calculation:**
- \(639 \div 213 = 3\) (since \(213 \times 3 = 639\))

Now we have:
\[ \frac{3}{100} \]

### Step 4: Convert to Decimal
Finally, we convert \(\frac{3}{100}\) into a decimal.

**Calculation:**
- \(\frac{3}{100} = 0.03\)

### Final Answer
Thus, the quotient when \(0.00639\) is divided by \(0.213\) is \(0.03\).

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