Dividing a Whole Number by a Decimal Number Divide and check. \[ \begin{array}{l} 145 \\ \begin{array}{l} 145 \\ \times 6, \\ \frac{-6}{27,0} \\ 27 \\ \frac{-24}{30} \\ \frac{23}{87,0} \\ \frac{-30}{0} \end{array} \\ \end{array} \]

To divide a whole number by a decimal number, we can follow these steps: 1. **Convert the Decimal to a Whole Number**: If the divisor (the decimal number) is not a whole number, we can multiply both the dividend (the whole number) and the divisor by the same power of 10 to eliminate the decimal. 2. **Perform the Division**: Once both numbers are whole, we can perform the division. 3. **Check the Result**: Multiply the quotient by the divisor to verify that it equals the original dividend. Let's apply these steps to the problem. ### Step 1: Identify the Numbers From the problem, we have: - Dividend: \( 145 \) - Divisor: \( 6 \) (assuming the decimal number is \( 6.0 \)) ### Step 2: Perform the Division Now, we will divide \( 145 \) by \( 6 \). \[ \frac{145}{6} \] ### Step 3: Calculate the Division Let's perform the division: 1. \( 6 \) goes into \( 14 \) two times (since \( 6 \times 2 = 12 \)). - Subtract \( 12 \) from \( 14 \) to get \( 2 \). 2. Bring down the next digit \( 5 \) to make \( 25 \). 3. \( 6 \) goes into \( 25 \) four times (since \( 6 \times 4 = 24 \)). - Subtract \( 24 \) from \( 25 \) to get \( 1 \). So, we have: \[ 145 \div 6 = 24 \quad \text{(remainder 1)} \] This can be expressed as: \[ 24 \frac{1}{6} \] ### Step 4: Check the Result To check, we multiply the quotient by the divisor: \[ 24 \times 6 = 144 \] Now, add the remainder: \[ 144 + 1 = 145 \] This confirms that our division is correct. ### Final Answer The result of dividing \( 145 \) by \( 6 \) is: \[ 24 \frac{1}{6} \quad \text{or} \quad 24.1667 \text{ (approximately)} \]