Long division is a mathematical operation used to divide two numbers. It is a methodical process that involves breaking down a larger number, known as the dividend, into smaller parts based on the divisor. In this article, we will explore the long division of 12,960 divided by 160 and analyze the steps involved in this calculation.

Dividing 12,960 by 160:

To divide 12,960 by 160, we can use the long division method. This method involves dividing the dividend (12,960) by the divisor (160) and obtaining the quotient and remainder. The quotient represents the whole number of times the divisor can be divided into the dividend, while the remainder represents the leftover value after division.

Step 1:

To begin the long division process, we divide the first digit of the dividend (1) by the divisor (160). Since 1 is smaller than 160, we bring down the next digit (2) to form a new number, which becomes 12.

Step 2:

Next, we divide 12 by 160. Since 12 is still smaller than 160, we bring down the next digit (9) from the dividend to form a new number, which becomes 129.

Step 3:

Now, we divide 129 by 160. Again, 129 is smaller than 160, so we bring down the next digit (6) from the dividend to form a new number, which becomes 1,296.

Step 4:

We divide 1,296 by 160. This time, 160 can be divided into 1,296 without any remainder. The quotient is obtained by dividing 1,296 by 160, which equals 8. Therefore, the answer to 12,960 divided by 160 is 8.

Conclusion:

In conclusion, long division is a method used to divide two numbers and obtain the quotient and remainder. By applying the long division method to 12,960 divided by 160, we determined that the quotient is 8. Long division provides a systematic approach to dividing numbers and is an essential skill in mathematics.