Long Division Calculator
Perform long division step-by-step with full work shown — dividend, divisor, quotient, remainder and intermediate steps.
How to use the Long Division Calculator
- Enter your inputs into the Long Division Calculator above.
- Results update instantly as you type — no submit button needed.
- Adjust any value to see how the result changes in real time.
The long division algorithm
Dividend ÷ Divisor = Quotient remainder Remainder · · · Dividend = Divisor × Quotient + Remainder
Iteratively: estimate how many times the divisor fits into the current portion, subtract, bring down the next digit, repeat. Useful for teaching arithmetic mechanics.
Worked example
847 ÷ 23: 23 goes into 84 three times (3×23=69, remainder 15); bring down 7 to make 157; 23 goes into 157 six times (6×23=138, remainder 19). Result: 847 = 23 × 36 + 19. Quotient 36, remainder 19.
Frequently asked questions
Why teach long division if we have calculators?
Long division builds understanding of place value, estimation and division as the inverse of multiplication. It's foundational for understanding polynomial long division and other algorithms.
When do I use remainder vs. decimal?
Remainder form is more useful for problems where you can't split things (e.g., dividing students into groups). Decimal form is more useful for measurement and most calculations.
How do I divide decimals?
Move the decimal in the divisor to make it whole, and shift the dividend's decimal the same number of places. Then proceed with long division as usual.