Dividing Decimals

Dividing a decimal number by another decimal number, is similar to just dividing the numbers without the decimal points.Here decimal point plays a significant role for it by determining how small or large the quotient is. The placement of the decimal point should be observed properly.


 Steps for Dividing Decimals

  •   Move the decimal point of the divisor to the right until the divisor will be a whole number.
  •  Move the decimal point of the dividend to the right by the same number of places that the decimal point of the divisor moves. Place a zero (0) if the decimal point have moved to a decimal place without a digit.
  •  Divide the dividend by the divisor with the decimal point in a new position.

Decimal Division Examples

Example 1:
 6.4

Explanation:

Step 1: Move the decimal point of the divisor to the right until the divisor will be a whole number.

`2.12` `to` `212`.
The decimal point moves two decimal places to the right.

Step 2: Move the decimal point of the dividend to the right by the same number of places that the decimal point of the divisor moves.

`13.568` `to` `1356.8`

Step 3: Divide the dividend by the divisor with the decimal point in a new position.

`6.4`
`212` `1356.8`
  `1272`
  `848`
  `848`
  `0`

Therefore, 13.568 / 2.12 = 6.4

Example 2:
 1.65

Explanation:

Step 1: Move the decimal point of the divisor to the right until the divisor will be a whole number.

`56.1 to 561`.
The decimal point moves one decimal place to the right.

Step 2: Move the decimal point of the dividend to the right by the same number of places that the decimal point of the divisor moves.

`92.565 to 925.65`

Step 3: Divide the dividend by the divisor with the decimal point in a new position.

`1.65`
`561` `925.65`
  `561`
  `3646`
  `3366`
  `2805`
  `2805`
  `0`

Therefore, 92.565 / 56.1 = 1.65






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