The Number System
Dividing Decimals
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Objective: You will be able to…
Divide decimals using two different methods
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Vocabulary Dividend: A number that is to be divided
Divisor: A number that divides another number
Quotient: The result of division; the number of times one quantity is contained in another
Division bracket: The “box” the dividend is placed inside and the divisor is placed outside
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Method 1: Division without the decimalStep 1:
Find the smallest place value of the divisor and dividend
Step 2: Multiply the divisor and dividend by the power of 10 that
corresponds with the smallest place value
Step 3: Put the dividend in the box
Step 4: Put the divisor outside the box
Step 5: Put a decimal after the last digit in the dividend and on the quotient
line right after the last digit in the dividend
Step 6: Divide normally, adding zeros to the dividend when necessary
4© 2013 Meredith S. Moody
Guided practice 1, method 1
Divide and round the quotient to the nearest hundredths:
30.2 ÷ 8.2 Smallest place value is tenths
multiply both numbers by 10 Divide 302 by 82 Quotient: 3.68
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Guided practice 1, method 1 visual
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Guided practice 2, method 1
Divide and round the quotient to the nearest hundredth
491 ÷ 1.3 Smallest place value is tenths
multiply each number by 10 Divide 4910 by 13 Quotient: 377.69
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Guided practice 2, method 1 visual
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Guided practice 3, method 1
0.25 ÷ 0.05 Smallest place value is hundredths multiply both numbers by 100
Divide 25 by 5 Quotient: 5
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Guided practice 3, method 1 visual
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Method 2: Division with the decimalStep 1: Multiply the divisor by the value of 10 that
corresponds with the smallest place value
Step 2: Multiply the dividend by the same value of 10
Step 3: Place a decimal on the quotient line directly
above the decimal in the dividend
Step 4: Divide normally, adding zeros to the dividend
when necessary11© 2013 Meredith S. Moody
Guided practice 1, method 2
Divide and round your answer to the nearest hundredth:
30.24 ÷ 8.2 Divisor is 8.2, smallest place value is tenths multiply
8.2 by 10 82 Multiply 30.24 by 10 302.4 Set up the problem; place a decimal on the quotient
line directly above the decimal in the dividend Divide Quotient = 3.69
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Guided practice 1, method 2 visual
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Guided practice 2, method 2
4.875 ÷ 1.3 Divisor is 1.3, smallest place value is tenths
multiply 1.3 by 10 13 Multiply 4.875 by 10 48.75 Set up the problem; place a decimal on the
quotient line directly above the decimal in the dividend
Divide Quotient: 3.75
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Guided practice 2, method 2 visual
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Guided practice 3, method 2
0.2575 ÷ 0.05 Divisor is .05, smallest place value is
hundredths multiply .05 by 100 5 Multiply .2575 by 100 25.75 Set up the problem; place a decimal on the
quotient line directly above the decimal in the dividend
Divide Quotient: 5.15
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Guided practice 3, method 2 visual
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You try!Divide using either method 3.096 ÷ 0.3
10.32 0.0048 ÷ 1.2
0.004 20.5 ÷ 0.005
4100
18© 2013 Meredith S. Moody
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