Long Division with Decimals
Learn long division step by step. Divide numbers and get decimal results.
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Try:
How to Use
- Enter the dividend (number to be divided)
- Enter the divisor (number to divide by)
- Set decimal places for the result
- Click "Divide" to see the result
What is Long Division with Decimals?
Long division is a method for dividing large numbers by breaking the problem into a series of easier steps. It provides both the quotient (answer) and remainder, and can calculate results to any number of decimal places.
Formula
Division Relationship:
Dividend = Divisor × Quotient + Remainder
Example: 17 ÷ 5 = 3 remainder 2
Check: 5 × 3 + 2 = 17 ✓
Examples
- 125 ÷ 4 = 31.25 (31 remainder 1)
- 1000 ÷ 7 = 142.857... (142 remainder 6)
- 144 ÷ 12 = 12 (exact division)
FAQ
What's the difference between quotient and remainder?
The quotient is how many times the divisor fits completely into the dividend. The remainder is what's left over. For 17 ÷ 5: quotient is 3, remainder is 2.
When is division exact?
Division is exact when the remainder is 0, meaning the divisor divides the dividend evenly. For example, 12 ÷ 4 = 3 exactly.
How do I handle division with decimals?
The division continues past the decimal point by bringing down zeros. The remainder at any point can be used to continue calculating more decimal places.