Example

Example of Dividing 25.65÷(0.06)-25.65 \div (-0.06)

To divide 25.65÷(0.06)-25.65 \div (-0.06), apply the five-step decimal division procedure:

  1. Determine the sign: Both 25.65-25.65 and 0.06-0.06 are negative (they have the same sign), so the quotient is positive.
  2. Make the divisor a whole number: The divisor 0.06-0.06 has two decimal places. As justified by the Equivalent Fractions Property, move its decimal point two places to the right to obtain 6-6.
  3. Shift the dividend's decimal point: Move the decimal point in 25.65-25.65 two places to the right as well, giving 2565.0-2565.0.
  4. Divide by long division: The problem is now equivalent to 2565.0÷(6)-2565.0 \div (-6). Because the overall quotient is positive, evaluate the division using their absolute values (2565.0÷62565.0 \div 6):
  • 66 into 2525 is 44, remainder 11.
  • Bring down 66 to make 1616. 66 into 1616 is 22, remainder 44.
  • Bring down 55 to make 4545. 66 into 4545 is 77, remainder 33.
  • Bring down 00 to make 3030. 66 into 3030 is 55, remainder 00. The quotient is 427.5, with the decimal point placed directly above its new position in the dividend.
  1. Apply the sign: As determined in step 1, the result is positive. Therefore, 25.65÷(0.06)=427.5-25.65 \div (-0.06) = 427.5.
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Updated 2026-06-26

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