Question

se numbers. write any remain-
\\(0.4\overline{)12.62}\\)
ou enter your answer press go.

Explanation:

Step1: Convert divisor to integer

To divide by a decimal, we move the decimal point of the divisor (0.4) one place to the right to make it 4. We also move the decimal point of the dividend (12.62) one place to the right, making it 126.2 (equivalent to multiplying both by 10: \(0.4\times10 = 4\), \(12.62\times10=126.2\)).

Step2: Perform long division

Now we divide 126.2 by 4.

• 4 goes into 12 three times (\(4\times3 = 12\)), subtract 12 from 12, remainder 0. Bring down 6.
• 4 goes into 6 once (\(4\times1 = 4\)), subtract 4 from 6, remainder 2. Bring down 2 (now we have 22).
• 4 goes into 22 five times (\(4\times5 = 20\)), subtract 20 from 22, remainder 2. Now we have a remainder, so we add a decimal point and a zero to the dividend (making it 126.20) and bring down the 0.
• 4 goes into 20 five times (\(4\times5 = 20\)), subtract 20 from 20, remainder 0.

Putting it all together: \(126.2\div4 = 31.55\)

Answer:

\(31.55\)