1. Write the dividend (the number being divided) on top of the division sign and the divisor (the number dividing the dividend) below the division sign. Make sure the digits of the dividend are aligned correctly.
2. Find the first digit of the quotient by finding the largest multiple of the divisor that can go into the first digit or digits of the dividend. Write this digit above the dividend, directly above the first digit you're dividing into.
3. Multiply the divisor by the digit you just wrote in the quotient. Write the product below the dividend, aligned with the first digit you're dividing into.
4. Subtract the product from the dividend. Write the difference below the product.
5. Bring down the next digit from the dividend and write it next to the difference.
6. Repeat steps 2 to 5, dividing the new number (the old difference plus the new digit you brought down) by the divisor, multiplying, subtracting, and bringing down the next digit, until all the digits of the dividend have been used.
7. If the difference in step 4 is smaller than the divisor, write a 0 in the quotient and bring down the next digit.
8. Continue steps 2 to 7 until there are no more digits in the dividend.
9. If there is a remainder left after all digits have been used and the division cannot continue, write the remainder next to the quotient with a decimal point.
10. Check your answer by multiplying the quotient by the divisor and adding the remainder (if any) to the product. The result should be equal to the original dividend.
Here is an example of long division:
1234 ÷ 13
1234
_13_) 94 R6
_ _-117
_ _ _64
___-65
_ _39
___-39
_ _0
In this example, the quotient is 94, and the remainder is 6.
