Divide `0.567` by `9`

Options

A. `0.63`
B. `6.3`
C. `0.063`
D. `63`

Answer

To divide `0.567` by `9`, we can follow these steps:

### Step 1: Write the Division
We start by writing the division in a standard format:
\[ 0.567 \div 9 \]

### Step 2: Convert to Whole Number
To make the division easier, we can eliminate the decimal point by multiplying both the dividend and the divisor by `1000` (since `0.567` has three decimal places):
\[ 0.567 \times 1000 = 567 \]
\[ 9 \times 1000 = 9000 \]
So, we now have:
\[ 567 \div 9 \]

### Step 3: Perform the Division
Now we will divide `567` by `9`. We can do this step by step:
- First, we see how many times `9` fits into `56` (the first two digits of `567`):
- `9` goes into `56` `6` times (since \( 9 \times 6 = 54 \)).
- We subtract `54` from `56`:
\[ 56 - 54 = 2 \]
- Bring down the next digit `7`, making it `27`.
- Now, see how many times `9` fits into `27`:
- `9` goes into `27` `3` times (since \( 9 \times 3 = 27 \)).
- Subtract `27` from `27`:
\[ 27 - 27 = 0 \]

So, the result of the division is:
\[ 567 \div 9 = 63 \]

### Step 4: Adjust for the Decimal
Since we multiplied the original number by `1000`, we need to adjust our answer back to the decimal form. We had `0.567`, which is equivalent to `567` when multiplied by `1000`. Therefore, we need to place the decimal point back:
\[ 63 \div 1000 = 0.063 \]

### Final Answer
Thus, the final answer to \( 0.567 \div 9 \) is:
\[ 0.063 \]

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