What is 546 divided by 25 in long division
The Correct Answer and Explanation is:
Long Division of 546 ÷ 25
Step 1: Set up the division.
We are dividing 546 by 25.
Write it as:
CopyEdit __21.84
25 | 546.00
Step 2: Divide the first digits.
25 goes into 54 2 times.
2 × 25 = 50
Subtract: 54 − 50 = 4
Bring down the next digit: 6
Now we have 46
Step 3: Divide again.
25 goes into 46 1 time.
1 × 25 = 25
Subtract: 46 − 25 = 21
Bring down a 0 (add a decimal point and zero): 210
Step 4: Continue division.
25 goes into 210 8 times.
8 × 25 = 200
Subtract: 210 − 200 = 10
Bring down another 0: now we have 100
Step 5: Continue division.
25 goes into 100 4 times.
4 × 25 = 100
Subtract: 100 − 100 = 0
There is no remainder, and the division ends here.
Final Answer: 546 ÷ 25 = 21.84
Explanation (Textbook Style):
To divide a three-digit number like 546 by a two-digit number such as 25 using long division, begin by estimating how many times the divisor fits into the leftmost digits of the dividend. In this case, 25 fits into 54 two times. Multiply 2 by 25 to get 50 and subtract that from 54, leaving a remainder of 4. Next, bring down the 6 from 546 to make the new number 46. Then, determine how many times 25 fits into 46. Since 25 fits once, write 1 above the line, multiply 1 by 25 to get 25, and subtract to get 21.
Since the division is not yet complete, a decimal point is added to the quotient and a zero is brought down, turning 21 into 210. Determine how many times 25 goes into 210. The answer is 8, because 8 × 25 = 200. Subtracting gives a remainder of 10. Bring down another 0 to make it 100. 25 fits into 100 four times exactly. The subtraction gives zero, which means the division is complete.
The final quotient, 21.84, is exact and has no remainder. This method ensures that each step of the division is clear and systematic.
