The number being divided
The number dividing into the dividend
Division Formula:
Dividend ÷ Divisor = Quotient + Remainder
Example: 17 ÷ 5 = 3 R 2
Enter dividend and divisor to start
See step-by-step long division solution!
Long division is a systematic method for dividing large numbers that may not divide evenly. It breaks down complex division problems into a series of simpler steps, making it easier to find both the quotient (the result) and remainder (what is left over).
This method is particularly useful when dividing large numbers that cannot be easily divided mentally, and it provides a clear step-by-step process that can be followed for any division problem.
Long division is a method for dividing large numbers by breaking down the division process into smaller steps. It involves dividing, multiplying, subtracting, and bringing down the next digit repeatedly until all digits are processed. The result includes a quotient (answer) and possibly a remainder.
To verify your long division answer, use this formula: (Quotient × Divisor) + Remainder = Dividend. For example, if 17 ÷ 5 = 3 R 2, check: (3 × 5) + 2 = 15 + 2 = 17. If the result matches the original dividend, your answer is correct.
The long division process follows five main steps: 1) Divide - determine how many times the divisor goes into the current number. 2) Multiply - multiply the divisor by the quotient digit. 3) Subtract - subtract the product from the current number. 4) Bring Down - bring down the next digit. 5) Repeat - continue until all digits are used. The final result is the quotient plus any remainder.
The quotient is the whole number result of division, while the remainder is what is left over after division. For example, 17 ÷ 5 = 3 with remainder 2. The quotient is 3 (how many complete groups of 5 fit into 17) and the remainder is 2 (what is left over).
Yes, you can perform long division with decimals by treating them as whole numbers initially. For division with decimal dividends, divide as normal and place the decimal point in the quotient directly above its position in the dividend. For decimal divisors, multiply both dividend and divisor by 10, 100, etc. to make the divisor a whole number, then proceed with normal long division.