What is 968 divided by 12
The Correct Answer and Explanation is :
To find the answer to ( 968 \div 12 ), you can perform the division directly.
Calculation:
When you divide 968 by 12, you proceed as follows:
- Long Division Setup:
- Write 968 under the long division bar and 12 outside.
- First Digit:
- 12 goes into 96 (the first two digits of 968) 8 times because ( 12 \times 8 = 96 ).
- Subtract 96 from 96, which gives you 0.
- Bring Down the Next Digit:
- Bring down the next digit (which is 8), making it 08.
- Second Digit:
- 12 goes into 8 0 times.
- Write down 0 and bring down another 0 for clarity, but since there are no more digits, we are done.
- Final Result:
- The quotient is 80, and you have a remainder of 8.
Thus, ( 968 \div 12 = 80 ) with a remainder of ( 8 ). This can also be expressed as:
[
968 = 12 \times 80 + 8
]
So the complete answer is ( 80 ) with a remainder of ( 8 ).
Explanation:
The process of division is fundamentally about determining how many times one number can fit into another. In this case, we wanted to see how many groups of 12 can be made from 968.
The long division method helps in breaking down the problem into manageable parts. First, by dividing the largest portion of the number (96) by 12, we find that it fits exactly 8 times. This gives us a good start in determining how many complete sets of 12 can be taken from 968.
When we bring down the remaining digit (8), we find that 12 cannot fit into 8, indicating that we have a remainder. Remainders are common in division, especially when the dividend (the number being divided) is not perfectly divisible by the divisor (the number you are dividing by).
In practical applications, knowing how to perform division, especially long division, is essential for solving real-world problems involving quantities, budgeting, and resource allocation.