What Is The Answer Of 394 Divided By 8

3 min read Oct 14, 2024
What Is The Answer Of 394 Divided By 8

What is the Answer of 394 Divided by 8?

Dividing numbers is a fundamental arithmetic operation. You might encounter this in everyday situations, from splitting a bill evenly with friends to calculating the average of a set of numbers. In this case, we want to find out the answer to 394 divided by 8.

Understanding Division

Division is essentially the process of splitting a whole into equal parts. In the context of our question, we are trying to determine how many times 8 fits into 394.

Calculating the Answer

You can solve this by using long division:

  1. Set up the problem: Write 8 outside the division symbol and 394 inside.
  2. Divide the first digit: 8 does not go into 3, so you consider the first two digits, 39. 8 goes into 39 four times (4 x 8 = 32). Write "4" above the 9 in the quotient.
  3. Subtract: Subtract 32 from 39, leaving 7.
  4. Bring down the next digit: Bring down the 4 from 394, giving you 74.
  5. Repeat: 8 goes into 74 nine times (9 x 8 = 72). Write "9" next to the 4 in the quotient.
  6. Subtract: Subtract 72 from 74, leaving 2.
  7. Remainder: Since 2 is smaller than 8, it is your remainder.

Therefore, the answer to 394 divided by 8 is 49 with a remainder of 2. This can be represented as a mixed number (49 2/8) or a decimal (49.25).

Checking the Answer

To verify your answer, you can multiply the quotient (49) by the divisor (8) and add the remainder (2):

49 x 8 + 2 = 392 + 2 = 394

This confirms that our answer is correct.

Conclusion

The answer to 394 divided by 8 is 49 with a remainder of 2. Understanding how to perform division is essential for solving various mathematical problems and everyday calculations.