What is 6000 Divided by 9374 Using Long Division? (2024)

Confused by long division? By the end of this article you'll be able to divide 6000 by 9374 using long division and be able to apply the same technique to any other long division problem you have! Let's take a look.

Want to quickly learn or show students how to solve 6000 divided by 9374 using long division? Play this very quick and fun video now!

Okay so the first thing we need to do is clarify the terms so that you know what each part of the division is:

  • The first number, 6000, is called the dividend.
  • The second number, 9374 is called the divisor.

What we'll do here is break down each step of the long division process for 6000 divided by 9374 and explain each of them so you understand exactly what is going on.

6000 divided by 9374 step-by-step guide

Step 1

The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, like we have it below:

93746000

Step 2

We can work out that the divisor (9374) goes into the first digit of the dividend (6), 0 time(s). Now we know that, we can put 0 at the top:

0
93746000

Step 3

If we multiply the divisor by the result in the previous step (9374 x 0 = 0), we can now add that answer below the dividend:

0
93746000
0

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (6 - 0 = 6) and write that answer below:

0
93746000
-0
6

Step 5

Move the second digit of the dividend (0) down like so:

0
93746000
-0
60

Step 6

The divisor (9374) goes into the bottom number (60), 0 time(s), so we can put 0 on top:

00
93746000
-0
60

Step 7

If we multiply the divisor by the result in the previous step (9374 x 0 = 0), we can now add that answer below the dividend:

00
93746000
-0
60
0

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (60 - 0 = 60) and write that answer below:

00
93746000
-0
60
-0
60

Step 9

Move the third digit of the dividend (0) down like so:

00
93746000
-0
60
-0
600

Step 10

The divisor (9374) goes into the bottom number (600), 0 time(s), so we can put 0 on top:

000
93746000
-0
60
-0
600

Step 11

If we multiply the divisor by the result in the previous step (9374 x 0 = 0), we can now add that answer below the dividend:

000
93746000
-0
60
-0
600
0

Step 12

Next, we will subtract the result from the previous step from the fourth digit of the dividend (600 - 0 = 600) and write that answer below:

000
93746000
-0
60
-0
600
-0
600

Step 13

Move the fourth digit of the dividend (0) down like so:

000
93746000
-0
60
-0
600
-0
6000

Step 14

The divisor (9374) goes into the bottom number (6000), 0 time(s), so we can put 0 on top:

0000
93746000
-0
60
-0
600
-0
6000

Step 15

If we multiply the divisor by the result in the previous step (9374 x 0 = 0), we can now add that answer below the dividend:

0000
93746000
-0
60
-0
600
-0
6000
0

Step 16

Next, we will subtract the result from the previous step from the fifth digit of the dividend (6000 - 0 = 6000) and write that answer below:

0000
93746000
-0
60
-0
600
-0
6000
-0
6000

So, what is the answer to 6000 divided by 9374?

If you made it this far into the tutorial, well done! There are no more digits to move down from the dividend, which means we have completed the long division problem.

Your answer is the top number, and any remainder will be the bottom number. So, for 6000 divided by 9374, the final solution is:

Remainder 6000

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  • "What is 6000 Divided by 9374 Using Long Division?". VisualFractions.com, http://visualfractions.com/calculator/long-division/what-is-6000-divided-by-9374-using-long-division/. Accessed 30 July, 2024.

  • What is 6000 Divided by 9374 Using Long Division?. VisualFractions.com. Retrieved from http://visualfractions.com/calculator/long-division/what-is-6000-divided-by-9374-using-long-division/.

Extra calculations for you

Now you've learned the long division approach to 6000 divided by 9374, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 6000 divided by 9374, you'd get 0.6401.
  • You could also express 6000/9374 as a mixed fraction: 0 6000/9374
  • If you look at the mixed fraction 0 6000/9374, you'll see that the numerator is the same as the remainder (6000), the denominator is our original divisor (9374), and the whole number is our final answer (0).

Long Division Calculator

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What is 6000 divided by 9375 using long division?

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What is 6000 Divided by 9374 Using Long Division? (2024)

FAQs

How do you calculate using the long division method? ›

Long Division Steps

Step 1: Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor. Step 2: Then divide it by the divisor and write the answer on top as the quotient. Step 3: Subtract the result from the digit and write the difference below.

What is 35 divided by 8956 using long division? ›

Expert-Verified Answer

To divide 35 by 8956 using long division, follow the steps: 35 divided by 8 is 4 remainder 3, 39 divided by 8 is 4 remainder 11, 115 divided by 8 is 14 remainder 3, and 36 divided by 8 is 4 remainder 4. The final result is 0.0044.

What is the square root of 6000 by long division method? ›

Therefore, the square root of 6000 by long division method is 77.4 approx.

What is the formula for division? ›

Division Math Formula

The formula to calculate the division of two numbers is: Dividend ÷ Divisor = Quotient + Remainder. The remainder is the leftover number in the division operation. If 46 is divided by 5, we get the quotient as 9 and the remainder 1.

Is 85 * 87 * 89 * 91 * 95 * 96 is divided by 100? ›

Now divide 96 by 4, and it too gets divided fully. So the full product (85 × 87 × 89 × 91 × 95 × 96) is fully divisible by 100 (which is 5x5x4). So the remainder will be zero.

What is 80 000 000 divided by 200? ›

Divide 80000000 by 200 to get 400000.

What is the route of 6000? ›

Solution: The square root of 6000 is 77.46.

What is the prime factorization of 6000? ›

Answer: Again, all the prime numbers you used to divide above are the Prime Factors of 6000. Thus, the Prime Factors of 6000 are: 2, 2, 2, 2, 3, 5, 5, 5.

How to calculate percentage of? ›

If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

How do you find the roots using long division method? ›

Step 1: Divide the given number by divisor by identifying the suitable integer. Step 2: Multiply the divisor and integer (quotient) to get the number to be subtracted from the dividend. Step 3: Subtract the number from the dividend. Step 4: Bring down the remainder and another digit (if any) from the dividend.

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Long division is the mathematical method for dividing large numbers into smaller groups or parts. When we will divide 342 by 23, we will get, The quotient 322 and the remainder is 20. Hence, the quotient after division is 322 and the remainder is 20.

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