Division of a Decimal Number by a Whole Number:

• We use division or long division of decimals by whole numbers as if the decimals were whole numbers ignoring the decimal points.

• In the quotient that we get, we place the decimal point in the same spot as in the number that is being divided.
• For example, 8.4 ÷ 4 = 2.1

1) 6.4 ÷ 2

= 64/10 ÷ 2

= 64/10 xx 1/2

= (64 xx 1)/(10 xx 2)

= (1 xx 64)/(10 xx 2)

= 1/10 xx 64/2

= 1/10 xx 32

= 32/10

= 3.2

2) 12.96 ÷ 4

= 1296/100 ÷ 4

= 1296/100 xx 1/4

= 1/100 xx 1296/4

= 1/100 xx 324

= 3.24.

Example

Find: 33.73 ÷ 2

33.73 ÷ 2

= (33.73)/2 xx 1/1

= (33.73)/2 xx (1 xx 100)/(1 xx 100)

= (33.73)/2 xx 100/100

= (33.73 xx 100)/(2 xx 100)

= (3373)/(2 xx 100)

= (3373 xx 1)/(2 xx 100)

= (3373)/2 xx 1/100

= 1686.5 xx 1/100

= (1686.5)/100

= 16.865

Example

Find: 4.449 ÷ 4

4.449 ÷ 4

= (4.449)/4 xx 1/1

= (4.499)/4 xx (1 xx 1000)/(1 xx 1000)

= (4.449)/4 xx (1000)/(1000)

= (4.449 xx 1000)/(4 xx 1000)

= (4449 xx 1)/(4 xx 1000)

= (4449)/4 xx 1/1000

= 1112.25 xx 1/1000

= (1112.25)/(1000)

= 1.11225

Example

Find: 233 ÷ 0.5

= 233/0.5 xx 1/1

= 233/0.5 xx 10/10

= (233 xx 10)/(0.5 xx 10)

= (233 xx 10)/5

= (233)/5 xx 10

= 46.6 x 10

= 466

Example

Find: 525 ÷ 0.015

525 ÷ 0.015

= 525/0.015 xx 1/1

= 525/0.015 xx (1 xx 1000)/(1 xx 1000)

= 525/0.015 xx (1000)/(1000)

= (525 xx 1000)/(0.015 xx 1000)

= (525 xx 1000)/15

= 525/15 xx 1000

= 525/15 xx 1000

= 35 × 1000

= 35000

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Division of a Decimal Number by a Whole Number [00:09:48]
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