What is the long division for 68.25 ÷ 65

What is the long division for 68.25 ÷ 65

The Correct Answer and Explanation is:

Let’s walk through the long division process for 68.25 ÷ 65, step by step:

Step 1: Set up the division

To perform the division 68.25 ÷ 65, write it in long division form:

    ________
65 | 68.250

Since we’re dividing a decimal (68.25), we’ll treat it as 6825 (by removing the decimal point) and later adjust the answer by placing the decimal in the correct position.

Step 2: Divide 6825 by 65

Start by dividing the first few digits:

1. 65 into 68:
   65 goes into 68 once (1). Write 1 on top:

       1
    ________
65 | 68.250
   - 65
   -------
   3

Subtract 65 from 68, leaving a remainder of 3.

2. Bring down the next digit (2):
   Now, bring down the 2, making it 32. Divide 65 into 32. Since 65 does not go into 32, we put a 0 in the quotient and bring down the next digit.

       1.0
    ________
65 | 68.250
   - 65
   -------
   32

3. Bring down the next digit (5):
   Bring down the 5, making it 325. Now, divide 65 into 325. 65 goes into 325 exactly 5 times. Write 5 on top:

       1.05
    ________
65 | 68.250
   - 65
   -------
   32
   - 325
   -------
     0

Subtract 325 from 325, leaving a remainder of 0.

Step 3: Final result

The quotient is 1.05, meaning that 68.25 ÷ 65 = 1.05.

Explanation:

In long division, we first divide the dividend (68.25) by the divisor (65) while carefully managing the decimal point. After adjusting for the decimal, the division proceeds as we would with whole numbers, with each step bringing down a digit. The final quotient is 1.05, meaning 68.25 divided by 65 gives 1.05.