In the traditional method of long division, the divisor is compared to the beginning of the dividend. A two-digit divisor will be compared to the first two or three digits of the dividend. The dividend is gradually divided through the repetition of this process until a remainder is left.
Find the quotient for the equation: 4598 ÷ 35. To solve this problem, you calculate (45 ÷ 35 = 1) with 10 remaining. The 35 is written below 45 and subtracted from it with the remainder written below it. You then bring down the next number which is 9. (109 ÷ 35 = 3) with 4 remaining. The last number 8 is brought down. (48 ÷ 35 = 1) with 13 remaining. The solution to this problem is 131 with remainder 13 or 131 13/35.
In the double division method, you make a chart of multiples of the divisor and compare those figures with the whole dividend. A notation of the amount divided is made to the right of the dividend and the process is repeated with the remainder. When you get to the end of the process and the remainder, if any, is smaller than the divisor, you add up those numbers on the right. This number is the quotient. The key here is to always look for the closest multiple to the number to be divided.
Solve the equation 7885 ÷ 22. The first step is to prepare a list of multiples, for example, the divisor, its double, triple and quadruple, which would be 22, 44, 66 and 88. Then examine the dividend and determine which multiple is closest; 6600 is closest to 7885 so your first number to save as your quotient is 300 which is the amount of times the tripled divisor(3 x 22) goes into 7885. This process is repeated with the remainder until you get to the final remainder and the quotient sums are added up for solution: 358 9/22.