Solve Decimal Division: 4.2 ÷ 0.1 Step-by-Step

To solve this problem, we will follow these structured steps:

• Step 1: Identify the division operation: $4.2 \div 0.1$.
• Step 2: Convert the operation into a simpler form by eliminating decimals from the divisor.
• Step 3: Multiply both the dividend $4.2$ and the divisor $0.1$ by 10 to shift the decimal point.
• Step 4: After multiplying, the operation becomes $42 \div 1$.
• Step 5: Calculate the result of $42 \div 1$, which equals 42.

Now, let’s work through the solution with respect to each step:

Step 1: We recognize the operation is $4.2 \div 0.1$. This indicates we need to divide 4.2 by 0.1.

Step 2: To facilitate easier calculation, we aim to eliminate the decimal in the divisor. We can achieve this by multiplying 0.1 by 10, turning it into the whole number 1.

Step 3: When we multiply the divisor $0.1$ by 10, we must do the same to the dividend $4.2$ to maintain the equality of the operation. Multiplying 4.2 by 10 shifts its decimal point one position to the right, resulting in 42.

Step 4: The division now reads $42 \div 1$. This is straightforward since dividing any number by 1 gives the number itself.

Step 5: Therefore, calculating $42 \div 1$, we find that the result is 42.

Consequently, the solution to the problem is $42$.