`178 xx 34 = 6052 ` , then `6.052 div 17.8 ` = ?

Options

A. 34
B. `0.34`
C. `0.034`
D. None of these

Answer

To solve the problem \( 6.052 \div 17.8 \), we can follow these steps:

### Step 1: Convert the division into a simpler form
We can eliminate the decimal points by multiplying both the numerator and the denominator by 10. This gives us:
\[ \frac{6.052 \times 10}{17.8 \times 10} = \frac{60.52}{178} \]

**Hint:** Multiplying both the numerator and denominator by the same number (like 10) helps to remove decimals.

### Step 2: Perform the division
Now we need to divide \( 60.52 \) by \( 178 \). We can set this up as:
\[ 60.52 \div 178 \]

**Hint:** When dividing, consider how many times the divisor fits into the first part of the dividend.

### Step 3: Calculate the division
To perform the division:
1. \( 178 \) goes into \( 605 \) (considering the first three digits of \( 60.52 \)) approximately \( 3 \) times because \( 178 \times 3 = 534 \).
2. Subtract \( 534 \) from \( 605 \) to get \( 71 \).
3. Bring down the next digit \( 2 \) to make it \( 712 \).
4. Now, \( 178 \) goes into \( 712 \) approximately \( 4 \) times because \( 178 \times 4 = 712 \).
5. Subtract \( 712 \) from \( 712 \) to get \( 0 \).

Thus, \( 60.52 \div 178 = 0.34 \).

**Hint:** Always check how many times the divisor can fit into the current number you are working with.

### Final Answer
Therefore, the value of \( 6.052 \div 17.8 \) is:
\[ \boxed{0.34} \]

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