Solve Decimal Division: 10.9 ÷ 2.5 Step-by-Step

To solve this problem, we'll follow these steps:

• Step 1: Convert the problem to integer division.
• Step 2: Perform the division.
• Step 3: Adjust for decimal placement.

Now, let's work through each step:

Step 1: Convert the problem to integer division.
Multiply both 10.9 and 2.5 by 10 to eliminate the decimals, yielding 109 and 25, respectively.

Step 2: Perform the division.
Divide 109 by 25. When dividing, you get 4 as the quotient and a remainder of 9. Therefore, 109 ÷ 25 = 4.36.

Step 3: Adjust for decimal placement.
Since we initially multiplied by 10, dividing by 25 effectively places the decimal in the correct position. Thus, 10.9 ÷ 2.5 = 4.36.

Therefore, the solution to the problem is $4.36$.