how to divide

To divide numbers, the most common method is long division, which breaks the division problem into multiple easier steps. Here's a concise guide on how to divide using long division:

1. Write the dividend (the number to be divided) and the divisor (the number you are dividing by).
2. Take the first digit of the dividend from the left.
3. Check if this digit is greater than or equal to the divisor. If yes, divide this digit by the divisor, and write the quotient on top.
4. Multiply the quotient by the divisor, write the result below the first digit of the dividend, and subtract.
5. Bring down the next digit of the dividend.
6. Repeat the process until all digits have been brought down.
7. The number written on top is the quotient (result), and any leftover number is the remainder.

Example: Divide 735 by 9

• 7 is less than 9, so take 73.
• 9 × 8 = 72, subtract 73 - 72 = 1, write 8 in the quotient.
• Bring down the 5, now divide 15 by 9.
• 9 × 1 = 9, subtract 15 - 9 = 6, write 1 in the quotient.
• 6 is less than 9, so remainder = 6.
• The quotient is 81 with remainder 6.

This method also extends to decimals and larger numbers. Division is essentially splitting a number into equal parts or groups, and long division helps manage that process step-by-step with large numbers.