What is 8000 Divided by 12 Using Long Division? (2024)

Confused by long division? By the end of this article you'll be able to divide 8000 by 12 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 8000 divided by 12 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, 8000, is called the dividend.
  • The second number, 12 is called the divisor.

What we'll do here is break down each step of the long division process for 8000 divided by 12 and explain each of them so you understand exactly what is going on.

8000 divided by 12 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:

128000

Step 2

We can work out that the divisor (12) goes into the first digit of the dividend (8), 0 time(s). Now we know that, we can put 0 at the top:

0
128000

Step 3

If we multiply the divisor by the result in the previous step (12 x 0 = 0), we can now add that answer below the dividend:

0
128000
0

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (8 - 0 = 8) and write that answer below:

0
128000
-0
8

Step 5

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

0
128000
-0
80

Step 6

The divisor (12) goes into the bottom number (80), 6 time(s), so we can put 6 on top:

06
128000
-0
80

Step 7

If we multiply the divisor by the result in the previous step (12 x 6 = 72), we can now add that answer below the dividend:

06
128000
-0
80
72

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (80 - 72 = 8) and write that answer below:

06
128000
-0
80
-72
8

Step 9

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

06
128000
-0
80
-72
80

Step 10

The divisor (12) goes into the bottom number (80), 6 time(s), so we can put 6 on top:

066
128000
-0
80
-72
80

Step 11

If we multiply the divisor by the result in the previous step (12 x 6 = 72), we can now add that answer below the dividend:

066
128000
-0
80
-72
80
72

Step 12

Next, we will subtract the result from the previous step from the fourth digit of the dividend (80 - 72 = 8) and write that answer below:

066
128000
-0
80
-72
80
-72
8

Step 13

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

066
128000
-0
80
-72
80
-72
80

Step 14

The divisor (12) goes into the bottom number (80), 6 time(s), so we can put 6 on top:

0666
128000
-0
80
-72
80
-72
80

Step 15

If we multiply the divisor by the result in the previous step (12 x 6 = 72), we can now add that answer below the dividend:

0666
128000
-0
80
-72
80
-72
80
72

Step 16

Next, we will subtract the result from the previous step from the fifth digit of the dividend (80 - 72 = 8) and write that answer below:

0666
128000
-0
80
-72
80
-72
80
-72
8

So, what is the answer to 8000 divided by 12?

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 8000 divided by 12, the final solution is:

666

Remainder 8

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Extra calculations for you

Now you've learned the long division approach to 8000 divided by 12, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 8000 divided by 12, you'd get 666.6667.
  • You could also express 8000/12 as a mixed fraction: 666 8/12
  • If you look at the mixed fraction 666 8/12, you'll see that the numerator is the same as the remainder (8), the denominator is our original divisor (12), and the whole number is our final answer (666).

Long Division Calculator

Enter another long division problem to solve

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What is 8000 divided by 13 using long division?

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What is 8000 Divided by 12 Using Long Division? (2024)

FAQs

What is 8000 Divided by 12 Using Long Division? ›

Answer and Explanation:

Is 8000 divisible by 12? ›

8000 is not divisible by 12. 8000 divided by 12 equals 666.66666666667. 8000 divisible by 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, and 8000.

What is 8 divided by 712 in long division? ›

Final answer:

The problem 8 divided by 712 in long division results in approximately 0.0112. This is achieved by setting up the long division where 712 (the divisor) is larger than 8 (the dividend), leading to a decimal result.

What is the long division of 8000 12? ›

Therefore, 8,000 divided by 12 would be 666.666... repeating forever. We could round the repeating decimal to the hundredth place and get 666.67. To represent this as a mixed number, we would have 666 8/12.

What is exactly divisible by 12? ›

Divisibility Rule of 12

If the number is divisible by both 3 and 4, then the number is divisible by 12 exactly. The number 5844 is divisible by 4 and 3; hence, it is divisible by 12.

How do you divide long numbers quickly? ›

2 Use halving and doubling. Another useful technique to divide large numbers mentally is to use halving and doubling, which is based on the fact that dividing by 2 is the same as multiplying by 0.5, and vice versa. For example, if you want to divide 720 by 24, you can halve both numbers until you get an easier division ...

How to calculate 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.

What can be divisible by 12? ›

In order to know if a number is divisible by 12, you have to first check if it is divisible by 3 and 4. If it is divisible by both 3 and 4, then the number is divisible by 12. For example: Is 168 divisible by 12?

Is 10000 divisible by 12? ›

Answer and Explanation:

10,000 divided by 12 is equal to 833 remainder 4, or 833 1/3. After completing long division, the number on top of the division rectangle is the quotient and the number that's left over at the bottom is the remainder. Therefore, the quotient of 10,000 ÷ 12 is 833 and the remainder is 4.

Is 5000 divisible by 12? ›

Five thousand cannot be evenly divided by twelve, meaning that there is a remainder, or the answer must be expressed as either a decimal or a fraction.

What is the divisible rule by 12? ›

Divisibility Rule of 12

Rule: For any given number to be divisible by 12 the number must be divisible by both 3 and 4. That is, a number must satisfy the divisibility rule of both 3 and 4 to be divisible by 12. Example: For the given number; 864. 864 is divisible by 4 as the last two-digit(64) is divisible by 4.

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