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Perform long division step-by-step, showing each trial digit, product, and remainder. Displays both quotient with remainder and decimal result.
Long Division Process:
1. Divide leftmost digits into divisor
2. Multiply divisor by quotient digit
3. Subtract to get remainder
4. Bring down next digit
5. Repeat until all digits processed
Result: dividend = quotient x divisor + remainder
Long division is an algorithm for dividing large numbers by hand. You work left to right, dividing portions of the dividend by the divisor, subtracting, and bringing down the next digit.
The remainder is what is left over after division. If you divide 17 by 5, the quotient is 3 and the remainder is 2, because 5 x 3 = 15 and 17 - 15 = 2.
After getting the integer quotient and remainder, continue the division by appending a decimal point and multiplying the remainder by 10 to bring down a zero digit each time.
A number is divisible by another if the remainder is 0. For example, 24 is divisible by 6 (24 / 6 = 4 remainder 0). Divisibility rules (by 2, 3, 5, etc.) help identify this without division.
In division: dividend / divisor = quotient remainder r. The dividend is the number being divided, the divisor is what you divide by, the quotient is the result, and the remainder is what's left over.