Rivalry2

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Original 2026-01-01

Modified 2026-02-21

1 Now let’s learn how to do the long division method, follow these steps to perform the long division method.

2 Step 1: Check if the first digit (or first group of digits) of the dividend is greater than or equal to the divisor.

3 For example, dividing 27 by 2. Here, the dividend (27) is greater than the divisor (2).

4 Step 2:Now find a multiple of the divisor which is less than or equal to the dividend. Make sure the quotient is less than 9 in this step.

5 Here, 2 × 1 = 2, the first digit in the quotient is 2.

6 Step 3:Find the difference between the multiple of the divisor and the first digit of the dividend. Here the difference is 0 as 2 - 2 = 0. 27 / 2 = 13.5

7 Step 4:Bring down the next digit (7), forming 07. Divide 7 ÷ 2 = 3; remainder is 1 (since 2 × 3 = 6, 7 - 6 = 1). The quotient digit is 3.

8 Step 5:Repeat steps 2 to 4 until the remainder is zero or less than the divisor.

9 There are two cases in the long division method based on the first digit of the dividend. Now, let’s learn about those cases in detail.

10 Case 1: When the first digit of the dividend is greater than or equal to the divisor

11 Now let’s learn how to divide a number when the first digit of the dividend is greater than or equal to the divisor. For example, divide 252 by 2.

12 Step 1: Check if the dividend is less than or equal to the divisor from the left-hand side. Here, the first digit is 2 and it is equal to the divisor.

13 Step 2:As 2 × 1 = 2, the quotient is 1.

14 Step 3:The difference between the multiple of the divisor and the first digit, that is, 2 - 2 = 0.

15 Step 4:Now we will bring down the next digit (5), forming 05. Divide 5 ÷ 2 = 2, remainder is 1 (since 2 × 2 = 4, 5 - 4 = 1). The quotient digit is 2.

16 Step 5:Follow the steps till the remainder is 0 or less than the divisor.

17 So, Continuing, bring down the next digit (2), forming 12. Divide 12 ÷ 2 = 6, 12 - 12 = 0. Thus, 252 ÷ 2 = 126, remainder is 0.

18 Case 2: When the first digit of the dividend is less than the divisor

19 In this section, let’s learn how to divide a number when the first digit of the dividend is less than the divisor. For example, dividing 235 by 5.

20 Step 1:If the first digit of the dividend is less than the divisor, that is, when dividing 235 by 5, where 2 is less than the divisor 5, we cannot divide it. So, we need to divide the first two digits, that is 23 by 5.

21 Step 2:As 5 × 4 = 20, the quotient is 4, and the leftover is 23 - 20 = 3.

22 Step 3:Bringing down the next digit which is 5, next to 3, so the new dividend is 35.

23 Step 4:Repeat the steps till the remainder is 0 or less than the divisor.

24 Here, the quotient is 47, so 235 ÷ 5 = 47