Long Division Calculator
Easily perform division to find the quotient, remainder, and see the result as a mixed fraction or decimal.
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Mixed Fraction: -
Use this long division calculator, division calculator, long division solver, division problem solver, long division equation calculator for quick, clear estimates. Try a tiny example to see the impact of each input.
Q: What are the 4 steps of long division?
The four basic steps of long division are Divide, Multiply, Subtract, and Bring Down. These steps are repeated until there are no more digits to bring down.
What is an example of long division?
An example of long division would be dividing 255 by 5. You would divide 25 by 5 (which is 5), multiply 5 by 5 (which is 25), subtract 25 from 25 (which is 0), and then bring down the next digit (which is 5). You then repeat the process: divide 5 by 5 (which is 1), multiply 1 by 5 (which is 5), and subtract 5 from 5 (which is 0). The result is 51.
How do you explain long division to a child?
To explain long division to a child, you can use analogies like sharing a large number of items equally among a group. Break down the process into smaller, manageable steps, such as “divide,” “multiply,” “subtract,” and “bring down,” using visual aids or manipulatives to demonstrate each step. Emphasize that it’s about repeatedly splitting a large number into smaller, equal groups.
When do we use long division?
Long division is used when you need to divide a larger number (the dividend) by another number (the divisor) and want to find a precise quotient, especially when mental math or a basic calculator isn’t sufficient to show the remainder or the step-by-step process. It’s fundamental for understanding how numbers break down and is a precursor to algebraic division.