what is 78 divided by 6318 explain in long division PLS

what is 78 divided by 6318 explain in long division PLS

The Correct Answer and Explanation is:

To divide 78 by 6318 using long division, let’s break it down step-by-step:

Step 1: Set Up the Division

We are dividing 78 (the dividend) by 6318 (the divisor). We start by writing it in long division format:78÷6318\text{78} \div \text{6318}78÷6318

Step 2: Estimate the First Digit

First, we check how many times 6318 can fit into 78. Since 6318 is greater than 78, the answer will be less than 1. In this case, the first digit in our quotient is 0.

Step 3: Add a Decimal Point

Since 78 is smaller than 6318, we need to proceed by adding a decimal point and a zero to the dividend. This gives us:78.0÷631878.0 \div 631878.0÷6318

Now, we look at how many times 6318 can fit into 780 (we added a zero after the decimal point). Again, 6318 does not fit into 780, so the next digit in our quotient is also 0.

Step 4: Add More Zeros and Continue the Process

Now, we add another zero, making the new dividend 7800. Again, we check how many times 6318 can fit into 7800.

7800÷6318≈1.237800 \div 6318 \approx 1.237800÷6318≈1.23, so we place 1 in the quotient after the decimal point.

Step 5: Subtract and Continue

We subtract 6318×1=63186318 \times 1 = 63186318×1=6318 from 7800:7800−6318=14827800 – 6318 = 14827800−6318=1482

Now, bring down the next zero, making the new dividend 14820.

Next, divide 14820 by 6318:14820÷6318≈2.3514820 \div 6318 \approx 2.3514820÷6318≈2.35

So, the next digit in the quotient is 2.

Step 6: Final Subtraction

Now, multiply 6318 by 2:6318×2=126366318 \times 2 = 126366318×2=12636

Subtract this from 14820:14820−12636=218414820 – 12636 = 218414820−12636=2184

So, the remainder is 2184.

Conclusion

Thus, the division of 78 by 6318 is approximately 0.0122 with a remainder of 2184.

Key Explanation:

In this process, we first determined that 6318 doesn’t fit into 78, so we continued by adding decimal places. By estimating how many times 6318 could fit into the growing dividend, we arrived at a quotient of 0.0122 (approximately). This method works by progressively dividing and subtracting, and we end up with a remainder when we can no longer divide evenly.