Perform fourth-grade long division by determining how many times the divisor factors into the digits of the dividend, moving left to right. It is helpful to have an understanding of basic divisibility rules, such as the rule that only even numbers are divisible by 2 without a remainder.
Long division, which is often taught in the fourth grade, is categorized into two main types of problems: those without remainders and those with answers that include remainders. An example of a long division problem without a remainder in the answer is 105 divided by 7. To begin answering this problem, draw a division bracket, and write the dividend, 105, inside of the bracket with the divisor, 7, outside of the bracket. Then check if the divisor factors into 1, the first digit of dividend. Because 7 is a larger number than 1, the next step is to determine if 7 factors into 10, the first two digits of the dividend.
Seven factors into 10 one time, so write the digit 1 on top of the division bracket. Write the digit 7 underneath 10 in the dividend because 7 x 1 = 7. Subtract 10 - 7 to get 3, then carry down the next digit of the dividend, 5, to get 35. Write a 5 next to the 1 in the answer because 7 factors into 35 five times. The answer is complete because 7 times 5 equals 35 exactly.