Basic Mathematics

Division of Decimals

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Division of Decimals
Dividing decimal numbers is the same as dividing whole numbers.

The decimal point in the quotient should be directly above the decimal point in the dividend, as long as the divisor is a whole number.
Notice the placement of the decimal point in the quotient.
Division of Decimals
When the divisor contains a decimal point, move the decimal point in both the dividend and the divisor to the right enough places to make the divisor a whole number.
50.6 ÷ 0.11 = 5060 ÷ 11
The two forms of the division problem above are equivalent. Multiplying the divisor 0.11 by 100 moves the decimal point 2 places to the right and makes the divisor a whole number. Multiplying the dividend 50.6 by 100 moves that decimal point 2 places to the right and keep the new form equivalent to the original problem.
Division of Decimals
When the divisor is 10, 100, 1000, etc., it is not necessary to carry out the division. Here is a quick way to find the quotient:
Move the decimal point in the dividend to the left. It should be moved the same number of places as the number of 0's in 10, 100, 1000, etc.
Division of Decimals
Don't forget to check your answer by multiplying the quotient and divisor in order to get back the dividend. If you have solved an equivalent form of the problem, be sure to multiply by the original divisor. The product in your check should match the original dividend.
4.02 ÷ 0.3 = _____
Write an equivalent problem with a whole number divisor.(Move the decimal point 1 place to the right.)
Division of Decimals
Click on the quotient.
  0.09
  1
10.0
  0.1
None of these
Question 1 of 8
This is the product of these numbers, not the quotient. Try again.
1 is the quotient.
Change to the equivalent problem \(3\sqrt{3}\). Try again.
Change to the equivalent problem \(3\sqrt{3}\). Try again.
One of these numbers is the quotient. Try again.
Move the decimal point in both the dividend and the divisor to the right enough places to make the divisor a whole number.
Division of Decimals
Click on the quotient.
  61
    6.1
    7.1
601
None of these
Question 2 of 8
61 is the quotient.
Change to the equivalent problem \(7\sqrt{427}\). Try again.
Begin by dividing \(7\sqrt{42}\). The first digit is not \(\sqrt{7}\). Try again.
Change to the equivalent problem \(7\sqrt{427}\). Try again.
One of these numbers is the quotient. Try again.
Move the decimal point in both the dividend and the divisor to the right enough places to make the divisor a whole number.
Division of Decimals
Click on the quotient.
36.18 ÷ 0.6 = _____
    6.3
630
  60.3
603
None of these
Question 3 of 8
The second step of the division requires dividing 6 into 1. Try again.
Change to the equivalent problem 361.8 ÷ 6. Try again.
60.3 is the quotient.
Change to the equivalent problem 361.8 ÷ 6. Try again.
One of these numbers is the quotient. Try again.
Move the decimal point in both the dividend and the divisor to the right enough places to make the divisor a whole number.
Division of Decimals
Click on the quotient.
0.451 ÷ 4.1 = _____
110
    0.11
    1.1
  11.0
None of these
Question 4 of 8
Change to the equivalent problem 4.51 ÷ 41. Try again.
0.11 is the quotient.
Change to the equivalent problem 4.51 ÷ 41. Try again.
Change to the equivalent problem 4.51 ÷ 41. Try again.
One of these numbers is the quotient. Try again.
Move the decimal point in both the dividend and the divisor to the right enough places to make the divisor a whole number.
Division of Decimals
Click on the quotient.
$2.31 ÷ 7 = _____
  $0.303
$33.33
  $0.33
$33
None of these
Question 5 of 8
The divisor is a whole number. Bring the decimal point straight up from the dividend into the quotient. Try again.
The divisor is a whole number. Bring the decimal point straight up from the dividend into the quotient. Try again.
$0.33 is the quotient.
The divisor is a whole number. Bring the decimal point straight up from the dividend into the quotient. Try again.
One of these numbers is the quotient. Try again.
The divisor is a whole number. Just divide and bring the decimal point into the quotient.
Division of Decimals
Click on the quotient.
257
250
  25
    2.5
None of these
Question 6 of 8
The ones digit is not 7. The last step of the division is 0 divided by 134. Try again.
250 is the quotient.
Change to the equivalent problem \(13\sqrt{33500}\). Try again.
Change to the equivalent problem \(13\sqrt{33500}\). Try again.
One of these numbers is the quotient. Try again.
Move the decimal point in both the dividend and the divisor to the right enough places to make the divisor a whole number.
Division of Decimals
Click on the quotient.
50 ÷ 0.05 = _____
   100
     50.05
1,000
       0.1
None of these
Question 7 of 8
Change to the equivalent problem 5000 ÷ 5. Try again.
This is the sum of these numbers, not the quotient. Try again.
1,000 is the quotient.
Change to the equivalent problem 5000 ÷ 5. Try again.
One of these numbers is the quotient. Try again.
Move the decimal point in both the dividend and the divisor to the right enough places to make the divisor a whole number.
Division of Decimals
Click on the quotient.
354
364
  35.4
  36.4
None of these
Question 8 of 8
Change to the equivalent problem \(75\sqrt{2730}\). Try again.
Change to the equivalent problem \(75\sqrt{2730}\). Try again.
The ones digit is not 5. The second step of the division is 480 divided by 75. Try again.
36.4 is the quotient.
One of these numbers is the quotient. Try again.
Move the decimal point in both the dividend and the divisor to the right enough places to make the divisor a whole number.
Division of Decimals