What is 3000 Divided by 12 Using Long Division? (2024)

Confused by long division? By the end of this article you'll be able to divide 3000 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 3000 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, 3000, 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 3000 divided by 12 and explain each of them so you understand exactly what is going on.

3000 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:

123000

Step 2

We can work out that the divisor (12) goes into the first digit of the dividend (3), 0 time(s). Now we know that, we can put 0 at the top:

0
123000

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
123000
0

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (3 - 0 = 3) and write that answer below:

0
123000
-0
3

Step 5

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

0
123000
-0
30

Step 6

The divisor (12) goes into the bottom number (30), 2 time(s), so we can put 2 on top:

02
123000
-0
30

Step 7

If we multiply the divisor by the result in the previous step (12 x 2 = 24), we can now add that answer below the dividend:

02
123000
-0
30
24

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (30 - 24 = 6) and write that answer below:

02
123000
-0
30
-24
6

Step 9

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

02
123000
-0
30
-24
60

Step 10

The divisor (12) goes into the bottom number (60), 5 time(s), so we can put 5 on top:

025
123000
-0
30
-24
60

Step 11

If we multiply the divisor by the result in the previous step (12 x 5 = 60), we can now add that answer below the dividend:

025
123000
-0
30
-24
60
60

Step 12

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

025
123000
-0
30
-24
60
-60
0

Step 13

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

025
123000
-0
30
-24
60
-60
0

Step 14

The divisor (12) goes into the bottom number (0), 0 time(s), so we can put 0 on top:

0250
123000
-0
30
-24
60
-60
0

Step 15

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:

0250
123000
-0
30
-24
60
-60
0
0

Step 16

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

0250
123000
-0
30
-24
60
-60
0
-0
0

So, what is the answer to 3000 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 3000 divided by 12, the final solution is:

250

Remainder 0

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Extra calculations for you

Now you've learned the long division approach to 3000 divided by 12, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 3000 divided by 12, you'd get 250.
  • You could also express 3000/12 as a mixed fraction: 250 0/12
  • If you look at the mixed fraction 250 0/12, you'll see that the numerator is the same as the remainder (0), the denominator is our original divisor (12), and the whole number is our final answer (250).

Long Division Calculator

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What is 3000 Divided by 12 Using Long Division? (2024)

FAQs

What is 3000 Divided by 12 Using Long Division? ›

We see that long division gives that 3,000 divided by 12 is equal to 250, so you would need to save $250 per month to save a total of $3,000 in a year.

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 long division calculator? ›

A long division calculator is a specialized tool designed to solve long division problems by automating the traditional step-by-step process. It accurately divides a given dividend by a divisor and displays the quotient, remainder, and all the steps involved in the calculation of new dividend.

What is 12 division by 2? ›

12 divided by 2 is 6.

Is 3000 divisible by 12? ›

Answer and Explanation:

3,000 divided by 12 is 250.

Is 8000 divisible by 12? ›

8,000 divided by 12 is equal to 666.67 or 666 2/3.

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.

What grade do kids learn long division? ›

Long division, also known as the standard algorithm for division, is introduced in 5th grade. It is important that children understand the concept of division before this method is taught as this formal method is quite an abstract process.

Is long division hard? ›

The standard algorithm for long division is difficult. There's no doubt about it. Long division is tricky because there are so many steps, and students must complete them in exactly the right order. In addition, many students aren't fluent in multiplication facts.

How to calculate long division without a calculator? ›

Long Division Steps
  1. Step 1: Take the first digit of the dividend from the left. ...
  2. Step 2: Then divide it by the divisor and write the answer on top as the quotient.
  3. Step 3: Subtract the result from the digit and write the difference below.
  4. Step 4: Bring down the next digit of the dividend (if present).

What is 100 000 divided by 3? ›

Expert-Verified Answer

The value of 100,000 divided by 3 is 33,333.333...

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

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 12 divided into groups of 3? ›

And if Emma divided her 12 blocks into groups of three, she would have four groups. The answer to the second part of the question is four. 12 divided by three equals four.

What is the percentage of 12 divided by 3? ›

Steps to Convert Ratio into a Percent

To convert a ratio into a percent, we express the given ratio as a fraction, multiply the fraction by 100, and put the percent sign %. So, to find what is as a percentage, multiply the fraction by 100 to get the percent. Therefore, as a percent is 400%.

Does 3 divide evenly into 12? ›

Example: 12 can be evenly divided by 3 (4 times exactly).

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