The problem is to evaluate the division $124.3 \div 0.44$.

ArithmeticDivisionDecimal ArithmeticLong Division
2025/3/11

1. Problem Description

The problem is to evaluate the division 124.3÷0.44124.3 \div 0.44.

2. Solution Steps

To perform the division 124.3÷0.44124.3 \div 0.44, we can rewrite it as a fraction 124.30.44\frac{124.3}{0.44}. To eliminate the decimal in the denominator, we can multiply both the numerator and denominator by
1
0

0. $$ \frac{124.3}{0.44} = \frac{124.3 \times 100}{0.44 \times 100} = \frac{12430}{44} $$

Now, we can perform long division of 1243012430 by 4444.
12430÷4412430 \div 44:
First, divide 124124 by 4444. 4444 goes into 124124 two times.
2×44=882 \times 44 = 88. 12488=36124 - 88 = 36.
Bring down the 33 to get 363363.
Divide 363363 by 4444. 4444 goes into 363363 eight times.
8×44=3528 \times 44 = 352. 363352=11363 - 352 = 11.
Bring down the 00 to get 110110.
Divide 110110 by 4444. 4444 goes into 110110 two times.
2×44=882 \times 44 = 88. 11088=22110 - 88 = 22.
Add a decimal point and a 00 to get 220220.
Divide 220220 by 4444. 4444 goes into 220220 five times.
5×44=2205 \times 44 = 220. 220220=0220 - 220 = 0.
Therefore, 12430÷44=282.512430 \div 44 = 282.5.

3. Final Answer

282.5

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