Solve long division problems step by step with full working, quotients, and remainders. Excellent learning resource for students and teachers for classroom math.
Long division is a fundamental arithmetic method used to divide multi-digit numbers. Our free online Long Division Calculator helps students and teachers visualize and solve division problems, displaying the complete step-by-step working including the quotient, remainder, and the intermediate subtraction steps.
The long division process involves dividing, multiplying, subtracting, and bringing down the next digit. The division equation is represented as Dividend ÷ Divisor = Quotient + Remainder / Divisor. The calculator automates this step-by-step procedure for numbers of any size.
The components are: the Dividend (the number being divided), the Divisor (the number you divide by), the Quotient (the primary answer), and the Remainder (what is left over).
Divide the divisor into the dividend as many times as possible without exceeding it. The leftover amount that cannot be divided further is the remainder. For example, 10 divided by 3 is 3 with a remainder of 1.
The step-by-step order is: 1) Divide, 2) Multiply, 3) Subtract, 4) Bring down the next digit, and 5) Repeat the process until no digits remain.
To verify the answer, multiply the divisor by the quotient, and then add the remainder. The final result should equal the original dividend: (Divisor * Quotient) + Remainder = Dividend.