Quick Guide to Dividing 70 by 12

Quick Guide to Dividing 70 by 12

Dividing 70 by 12 may seem challenging at first, but with the right approach, it can be simplified. In this quick guide, we will walk you through the steps to divide 70 by 12 efficiently. With a clear explanation and example, you'll be able to master this division in no time.

Calculating 70 divided by 12

When calculating 70 divided by 12, we are essentially trying to find out how many times 12 can fit into 70 evenly. This involves the process of division, which is a fundamental arithmetic operation. Let's break down the steps involved in calculating this division problem.

First, we need to set up the division problem by writing down 70 as the dividend and 12 as the divisor. The dividend is the number that is being divided, while the divisor is the number by which the dividend is divided. In this case, 70 is the dividend and 12 is the divisor.

Next, we start the division process by determining how many times the divisor 12 can fit into the first digit of the dividend, which is 7 in this case. Since 12 is larger than 7, we move on to the next digit of the dividend to form a two-digit number. We bring down the next digit of the dividend, which is 0, to form 70.

Now, we determine how many times 12 can fit into 70. In this case, 12 can fit into 70 five times, as 12 x 5 = 60. We write down 5 as the first digit of the quotient. After multiplying 12 by 5 and subtracting the result from 70, we get a remainder of 10.

Since the remainder (10) is less than the divisor (12), we bring down the next digit of the dividend, which is 0. We now have 100 as the new number to be divided by 12.

We repeat the process by determining how many times 12 can fit into 100. In this case, 12 can fit into 100 eight times, as 12 x 8 = 96. We write down 8 as the next digit of the quotient. After subtracting 96 from 100, we get a remainder of 4.

At this point, we have exhausted all the digits of the dividend. Therefore, the division process is complete. The quotient is the result of the division, which in this case is 5 with a remainder of 4. Therefore, 70 divided by 12 is equal to 5 with a remainder of 4.

Division is an essential mathematical operation that allows us to distribute quantities into equal parts. It is a key concept in arithmetic and is used in various real-world applications, such as splitting a group of items into equal sets or calculating rates and ratios.