The long division method is a standard technique for dividing large numbers by breaking the problem into a sequence of easier, smaller steps. It involves dividing the dividend (the number to be divided) by the divisor (the number by which you divide), resulting in a quotient (the answer) and sometimes a remainder (leftover part).
How Long Division Works:
- Write the dividend under the long division symbol and the divisor outside to the left.
- Take the first digit or group of digits of the dividend that is equal to or larger than the divisor.
- Divide this number by the divisor and write the quotient digit above.
- Multiply the divisor by this quotient digit and subtract the result from the current portion of the dividend.
- Bring down the next digit from the dividend.
- Repeat the steps until all digits of the dividend have been processed.
- The remaining number, if any, is the remainder.
Key Terms:
- Dividend: the number being divided.
- Divisor: the number dividing the dividend.
- Quotient: the result of the division.
- Remainder: the leftover part that cannot be divided further.
The process can also be extended to decimals by bringing down zeros to continue dividing after the decimal point.
This method simplifies dividing large numbers by breaking the operation into manageable, repetitive steps of dividing, multiplying, subtracting, and bringing down the next digit.
Would a detailed step-by-step example of long division be helpful?
