Question

divide.
5\overline{)46.2}

Explanation:

Step1: Divide 46 by 5

5 times 9 is 45, so we write 9 above the 6 in 46. Subtract 45 from 46, we get 1.
$$46 - 5\times9 = 46 - 45 = 1$$

Step2: Bring down the 2 (from 46.2) to make 12

Now we have 12 after bringing down the 2.

Step3: Divide 12 by 5

5 times 2 is 10, so we write 2 after the decimal point in the quotient. Subtract 10 from 12, we get 2.
$$12 - 5\times2 = 12 - 10 = 2$$

Step4: Add a zero to 2 to make 20 (since we are dealing with decimals)

Now we have 20.

Step5: Divide 20 by 5

5 times 4 is 20, so we write 4 after the 2 in the quotient.
$$20 - 5\times4 = 20 - 20 = 0$$

Putting it all together, the quotient is 9.24.

Answer:

9.24