How to Divide 262 by 9 Using Long Division
Dividing 262 by 9 might seem tricky at first, but using the long division method can make it much easier! Let’s break it down step-by-step.
Step 1: Set Up the Long Division
Start by writing 262 inside the long division symbol (the dividend) and 9 outside (the divisor).
_______ 9 | 262
Step 2: Divide the First Digit
Look at the first digit of 262, which is 2. Since 2 is less than 9, we move to the first two digits, which are 26.
Now, ask yourself: How many times does 9 go into 26? The answer is 2 because 9 times 2 is 18.
2 _______ 9 | 262 -18 -----
Step 3: Subtract
Now, subtract 18 from 26.
2
_______
9 | 262
-18
-----
8
You’re left with 8.
Step 4: Bring Down the Next Digit
Next, bring down the last digit of the dividend, which is 2, making it 82.
2
_______
9 | 262
-18
-----
82
Step 5: Divide Again
Now we need to find out how many times 9 goes into 82. The answer is 9 because 9 times 9 is 81.
29
_______
9 | 262
-18
-----
82
-81
-----
Step 6: Subtract Again
Next, subtract 81 from 82.
29
_______
9 | 262
-18
-----
82
-81
-----
1
Now, you have a remainder of 1.
Step 7: Putting It Together
You’ve finished dividing! 262 divided by 9 gives you a quotient of 29 with a remainder of 1. This can be written as:
262 ÷ 9 = 29 R1
Conclusion
So, using long division, you find that 262 divided by 9 is 29, with a remainder of 1. You can also express the result as a decimal by dividing the remainder by the divisor:
R1 can be expressed as 1/9 or approximately 0.11, giving you:
29.11 (rounded to two decimal places).
This process is a great way to master long division!