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Division of Decimal Numbers - Division of a Decimal Number by a Whole Number

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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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