To divide decimals, follow these steps:
Step 1: Set up the division problem as you would with whole numbers, with the dividend (the number being divided) on top and the divisor (the number dividing the dividend) on the bottom.
Step 2: If the divisor is not a whole number, move the decimal point to the right until it becomes a whole number. Move the decimal point in the dividend the same number of places to the right.
Step 3: Divide the numbers as you would with whole numbers. Start with the leftmost digit in the dividend and divide it by the divisor. Write the quotient above the division bar.
Step 4: Multiply the divisor by the quotient and subtract the result from the dividend. Write the remainder (if any) above the division bar.
Step 5: Bring down the next digit from the dividend and continue dividing until you have divided all the digits.
Step 6: If there is a remainder, add a decimal point to the quotient and bring down a zero. Continue dividing until you have reached the desired level of accuracy.
Step 7: If the decimal division is repeating, indicate the repeating pattern by placing a bar over the repeating digits.
Let’s look at an example:
Divide 3.6 by 0.2.
Step 1: Set up the division problem: 3.6 ÷ 0.2
Step 2: Move the decimal point in the divisor and dividend one place to the right: 36 ÷ 2
Step 3: Divide the leftmost digit in the dividend by the divisor: 36 ÷ 2 = 18. Write 18 above the division bar.
Step 4: Multiply the divisor (2) by the quotient (18) and subtract the result from the dividend (36): 36 - 36 = 0. Write 0 above the division bar.
Step 5: Bring down the next digit from the dividend (0) and continue dividing: 0 ÷ 2 = 0. Write 0 above the division bar.
Step 6: Since there is no remainder, we have finished dividing.
Step 7: The quotient is 18.0.
Therefore, 3.6 ÷ 0.2 = 18.0.
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