78 divided by 14 what is it between

78 divided by 14 what is it between

The Correct Answer and Explanation is:

To solve 78÷1478 \div 1478÷14 using long division, here’s the step-by-step breakdown:

Step 1: Set up the division

We are dividing 78 by 14. We write 78 as the dividend (the number being divided) and 14 as the divisor (the number we are dividing by).7814\frac{78}{14}1478​

Step 2: Divide the first digit

Look at the first digit of the dividend, which is 7. Since 7 is smaller than 14, we need to consider the first two digits, which are 78.

We now divide 78 by 14.

14 goes into 78 5 times, because 14×5=7014 \times 5 = 7014×5=70, and 14 multiplied by 6 gives 84, which exceeds 78.

Step 3: Subtract the result

Now subtract 707070 (which is 14×514 \times 514×5) from 78:78−70=878 – 70 = 878−70=8

This leaves a remainder of 8.

Step 4: Bring down the next digit

Since there are no more digits in 78, we can add a decimal point to the result and bring down a 0 to make the remainder 80.

Now, divide 80 by 14.

14 goes into 80 5 times again, because 14×5=7014 \times 5 = 7014×5=70, and subtracting gives:80−70=1080 – 70 = 1080−70=10

Step 5: Continue the process

At this point, you can keep repeating the process, bringing down another 0 and dividing. The division will continue with a remainder, so we get a repeating decimal:78÷14=5.571428571…78 \div 14 = 5.571428571…78÷14=5.571428571…

Final Answer:

The result of 78÷1478 \div 1478÷14 is approximately 5.571 or 5.57 rounded to two decimal places.

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Explanation: Long division is a method of breaking down a division problem into smaller, more manageable steps. First, we estimate how many times the divisor fits into the dividend, subtract the result, then bring down the next digit. The process repeats until the remainder becomes smaller or we reach the desired level of precision. In this case, the division resulted in a repeating decimal.