Long division with decimals extends the traditional division algorithm to produce decimal results. When the dividend is smaller than the divisor, or when there's a remainder, we continue dividing by adding decimal places.

Steps:

1. Perform regular long division until you get a remainder
2. Add a decimal point to the quotient
3. Add a zero to the remainder (multiply by 10)
4. Continue dividing as normal
5. Repeat steps 3-4 until you reach the desired decimal precision or the remainder becomes zero

Example: 7 ÷ 4 = 1.75

• 4 goes into 7 once (1 × 4 = 4), remainder 3
• Add decimal point: quotient is now "1."
• Add zero to remainder: 30
• 4 goes into 30 seven times (7 × 4 = 28), remainder 2
• Quotient is now "1.7"
• Add zero to remainder: 20
• 4 goes into 20 five times (5 × 4 = 20), remainder 0
• Final answer: 1.75

Rounding: When working with decimals, it's often necessary to round to a specific number of decimal places for practical purposes.