Divide. Enter your solution as a mixed number.6,132 ÷ 203 = (Enter all mixed numbers as x y/z.)

1. Break Down the Problem

We need to divide $6,132$ by $203$. The final answer must be expressed as a mixed number in the form $x \frac{y}{z}$.

2. Relevant Concepts

To convert the answer into a mixed number, we need to perform the division and then separate the whole number from the fractional part.

3. Analysis and Detail

First, we calculate the division:

$\text{Perform the division: } 6,132 \div 203$

Calculating this directly:

$6,132 \div 203 \approx 30.24$

Now we can identify the whole number and the fractional part. The whole number part is $30$. Next, we need to calculate the remainder:

$\text{Remainder} = 6,132 - (203 \times 30)$

Calculating $203 \times 30$:

$203 \times 30 = 6,090$

Now, subtract this from $6,132$:

$\text{Remainder} = 6,132 - 6,090 = 42$

Now we can express the remainder over the divisor to create the fractional part:

$\frac{42}{203}$

Combining these, we can express the result as a mixed number:

$30 \frac{42}{203}$

4. Verify and Summarize

We have determined that the division yields a whole number of $30$ and a remainder that leads us to the fractional part $\frac{42}{203}$. The mixed number therefore is verified as $30 \frac{42}{203}$.

Final Answer

$30 \frac{42}{203}$