Understanding the Problem
To find the value of X when it is divided by 16 and gives a quotient of 14, we can use the relationship between division, quotient, and remainder.

Key Concepts
- **Division**: When a number (X) is divided by another number (16), it can be expressed as:
- X = (Divisor × Quotient) + Remainder
- **Quotient**: The quotient is the result of the division without considering the remainder. In this case, the quotient is 14.

Calculating the Value of X
Now, we can plug in the known values into the equation:
- **Given Values**:
- Divisor = 16
- Quotient = 14
- Remainder = 0 (since it's not mentioned, we assume remainder is 0)
- **Substituting Values**:
- X = (16 × 14) + 0

Performing the Calculation
1. Multiply the divisor by the quotient:
- 16 × 14 = 224
2. Add the remainder (which is 0):
- 224 + 0 = 224

Final Answer
Therefore, the value of X is **224**.

Conclusion
- When you divide 224 by 16, you get a quotient of 14, confirming our calculation:
- 224 ÷ 16 = 14
This method of using the relationship between division, quotient, and remainder helps in finding the unknown value effectively.