More Division Examples 2

Explanation

BASICS OF DIVISION

Division involves two main elements: the dividend (the number being divided) and the divisor (the number by which we divide). The result of division is called the quotient.

EXAMPLE OF DIVISION BY A TWO-DIGIT NUMBER

Let's consider the example of dividing 1542 by 23.

PREPARATION: Write down the dividend (1542) and the divisor (23) in the format for long division.

FIRST STEP: Focus on the first two digits of the dividend (15). Ask how many times 23 goes into 15. Since 23 is greater than 15, it goes in 0 times. So, we consider the first three digits of the dividend (154).

SECOND STEP: Now, we find how many times 23 goes into 154. We determine that 23 goes into 154 6 times (23 × 6 = 138), without exceeding 154. Write '6' as the first digit of the quotient.

THIRD STEP: Multiply 6 by 23 to get 138. Subtract 138 from 154, which gives us 16. Write this number below 154.

FOURTH STEP: Bring down the next digit of the dividend (2) next to the remainder (16) to get the new number 162.

FIFTH STEP: Again, find how many times 23 goes into 162. We determine that it goes 7 times (23 × 7 = 161). Write '7' as the next digit of the quotient.

CONCLUSION (OF THIS STEP): Multiply 7 by 23 to get 161. Subtract 161 from 162, which gives us 1. This is our final remainder.

RESULT

Dividing 1542 by 23 gives a quotient of 67 and a remainder of 1. This can be written as: 1542 ÷ 23 = 67, remainder 1. Or, 1542 = 23 × 67 + 1.

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