Division (short)

Short division is a simplified way of dividing numbers, especially when the divisor is small and the process doesn’t require much detail. It is often used for easier and faster division. Here’s how you do it:

Steps for Short Division:

1. Write the Dividend: Start by writing the number you want to divide (the dividend) on the left.
2. Write the Divisor: Write the number you're dividing by (the divisor) outside the long division bracket.
3. Divide Each Digit: Start with the leftmost digit of the dividend. Divide it by the divisor. If the result fits evenly, write it above the dividend.
4. Carry Over Remainder: If the result doesn’t fit evenly, carry over the remainder to the next digit. Continue dividing step by step until you’ve gone through all digits.
5. Write the Quotient: The final result (quotient) is written above the dividend.

Example: 72 ÷ 3

1. Start with 72 ÷ 3.
2. Divide 7 (the first digit of 72) by 3.
   • 3 goes into 7 2 times (2 x 3 = 6).
   • Write 2 above the 7.
   • Subtract 6 from 7, which leaves a remainder of 1.
3. Now, bring down the next digit (2) from the dividend.
4. Divide 12 by 3.
   • 3 goes into 12 4 times (4 x 3 = 12).
   • Write 4 above the 2.
5. Now subtract 12 from 12, which leaves no remainder.

Final answer: 24.

So, 72 ÷ 3 = 24.

Short division is quicker because you don’t need to write out all the steps like in long division. It works best with smaller numbers where the division is easier to perform mentally.