Decimal to Binary Conversion:
To convert a decimal number to binary, we need to divide the decimal number by 2 and keep track of the remainders. The remainders will give us the binary digits from right to left. The process continues until the quotient becomes 0.

Step 1: Divide 57 by 2
- Quotient: 28
- Remainder: 1

Step 2: Divide 28 by 2
- Quotient: 14
- Remainder: 0

Step 3: Divide 14 by 2
- Quotient: 7
- Remainder: 0

Step 4: Divide 7 by 2
- Quotient: 3
- Remainder: 1

Step 5: Divide 3 by 2
- Quotient: 1
- Remainder: 1

Step 6: Divide 1 by 2
- Quotient: 0
- Remainder: 1

Binary Representation:
The binary representation is obtained by arranging the remainders from Step 6 to Step 1 in reverse order. Therefore, the binary representation of the decimal number 57 is 111001.

Decimal Part:
To convert the decimal part, 0.375, to binary, we need to multiply it by 2 and keep track of the whole numbers. The whole numbers will give us the binary digits from left to right. The process continues until the decimal part becomes 0 or until the desired precision is reached.

Step 1: Multiply 0.375 by 2
- Whole Number: 0

Step 2: Multiply 0.75 by 2
- Whole Number: 1

Step 3: Multiply 0.5 by 2
- Whole Number: 1

Step 4: Multiply 0 by 2
- Whole Number: 0

Binary Representation:
The binary representation is obtained by arranging the whole numbers from Step 1 to Step 4 in the order they were obtained. Therefore, the binary representation of the decimal part 0.375 is 0.011.

Final Binary Representation:
Combining the binary representation of the whole number part and the decimal part, we get:
- Whole Number: 111001
- Decimal Part: 0.011
- Binary Representation: (111001.011)2

Conclusion:
Therefore, the correct answer is option C, (110011.101)2.