Quick Math: Calculating 70 divided by 12

Quick Math: Calculating 70 divided by 12

When faced with the task of dividing 70 by 12, you might find yourself in need of a quick solution. By utilizing basic arithmetic principles, we can determine the quotient efficiently. To calculate this division, simply divide 70 by 12, resulting in approximately 5.8333. This decimal answer represents the result of the division operation. Understanding how to perform such calculations swiftly can be beneficial in various real-life situations. Check out this video for a visual explanation:

Calculating 70 divided by 12

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When it comes to calculating 70 divided by 12, we need to follow some basic arithmetic principles. Division is the mathematical operation of splitting a number into equal parts. In this case, we are dividing 70 by 12 to find out how many times 12 can fit into 70.

To calculate 70 divided by 12, we can use long division or a calculator. Long division is a method where we divide the dividend (the number being divided) by the divisor (the number we are dividing by) to find the quotient (the result) and the remainder (if any).

Here is how you can calculate 70 divided by 12 using long division:

Step 1: Set up the division problem by writing 70 (the dividend) inside the long division symbol and 12 (the divisor) outside the symbol.

Step 2: Divide the first digit of the dividend (7) by the divisor (12). Since 7 is less than 12, we bring down the next digit of the dividend (0) to create the number 70.

Step 3: Divide 70 by 12. 12 can fit into 70 five times without going over (5 x 12 = 60). Write 5 above the division symbol as the first digit of the quotient.

Step 4: Subtract 60 from 70 to get the remainder. 70 - 60 = 10.

Step 5: Bring down the next digit of the dividend (0) to create the number 100.

Step 6: Divide 100 by 12. 12 can fit into 100 eight times without going over (8 x 12 = 96). Write 8 above the division symbol as the second digit of the quotient.

Step 7: Subtract 96 from 100 to get the remainder. 100 - 96 = 4.

Step 8: Since there are no more digits to bring down, the division is complete. The quotient is 5 with a remainder of 4.

Therefore, 70 divided by 12 is equal to 5 with a remainder of 4. You can also express this as a mixed number, which would be 5 4/12 or simplified to 5 1/3.

Using a calculator to divide 70 by 12, you would get the result as 5.8333 when rounded to four decimal places. This is the decimal representation of the fraction 5 4/12.

Overall, calculating 70 divided by 12 involves basic division principles and can be done using long division or a calculator. Understanding how to perform division is essential in various mathematical and real-world applications.