What is 4000 Divided by 8 Using Long Division? (2024)

Confused by long division? By the end of this article you'll be able to divide 4000 by 8 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 4000 divided by 8 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, 4000, is called the dividend.
  • The second number, 8 is called the divisor.

What we'll do here is break down each step of the long division process for 4000 divided by 8 and explain each of them so you understand exactly what is going on.

4000 divided by 8 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:

84000

Step 2

We can work out that the divisor (8) goes into the first digit of the dividend (4), 0 time(s). Now we know that, we can put 0 at the top:

0
84000

Step 3

If we multiply the divisor by the result in the previous step (8 x 0 = 0), we can now add that answer below the dividend:

0
84000
0

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (4 - 0 = 4) and write that answer below:

0
84000
-0
4

Step 5

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

0
84000
-0
40

Step 6

The divisor (8) goes into the bottom number (40), 5 time(s), so we can put 5 on top:

05
84000
-0
40

Step 7

If we multiply the divisor by the result in the previous step (8 x 5 = 40), we can now add that answer below the dividend:

05
84000
-0
40
40

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (40 - 40 = 0) and write that answer below:

05
84000
-0
40
-40
0

Step 9

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

05
84000
-0
40
-40
0

Step 10

The divisor (8) goes into the bottom number (0), 0 time(s), so we can put 0 on top:

050
84000
-0
40
-40
0

Step 11

If we multiply the divisor by the result in the previous step (8 x 0 = 0), we can now add that answer below the dividend:

050
84000
-0
40
-40
0
0

Step 12

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

050
84000
-0
40
-40
0
-0
0

Step 13

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

050
84000
-0
40
-40
0
-0
0

Step 14

The divisor (8) goes into the bottom number (0), 0 time(s), so we can put 0 on top:

0500
84000
-0
40
-40
0
-0
0

Step 15

If we multiply the divisor by the result in the previous step (8 x 0 = 0), we can now add that answer below the dividend:

0500
84000
-0
40
-40
0
-0
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:

0500
84000
-0
40
-40
0
-0
0
-0
0

So, what is the answer to 4000 divided by 8?

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 4000 divided by 8, the final solution is:

500

Remainder 0

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Extra calculations for you

Now you've learned the long division approach to 4000 divided by 8, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 4000 divided by 8, you'd get 500.
  • You could also express 4000/8 as a mixed fraction: 500 0/8
  • If you look at the mixed fraction 500 0/8, you'll see that the numerator is the same as the remainder (0), the denominator is our original divisor (8), and the whole number is our final answer (500).

Long Division Calculator

Enter another long division problem to solve

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What is 4000 Divided by 8 Using Long Division? (2024)

FAQs

What is 48 divided by 8 in long division? ›

The result of division of 48÷8 48 ÷ 8 is 6 .

How to do 4000 divided by 10? ›

In this problem, 4000 is the dividend and 10 is the divisor. When dividing by ten, one can simply move the decimal place one place value to the left. Therefore, the quotient of this problem is 400.

What is 4 divided by 8 in simplest form? ›

4 divided by 8 is 1/2 or 0.5.

What is an example of a long division? ›

You could use long division for 180 ÷ 12 as we're dividing by two digits, but in this case it could be just as simple to use multiples of 12 to work it out. We know 12 x 5 = 60, and there are 3 lots of 60 in 180, so there must be 15 lots of 12 in 180. The answer is therefore 15 trays.

Can you divide by 8? ›

To divide by 8 is the same as to divide by 4 two times, or to divide by 2 three times, so you can solve any division by 8 problem dividing by 2 three times.

How to solve 64 divided by 8? ›

You should remember from your multiplication tables that 8 x 8 = 64. Therefore, 64 divided by 8 is 8.

What is 32 divisible by 8? ›

Answer and Explanation:

The answer to 32 divided by 8 is 4 (32 / 8 = 4).

What can 4000 be divided by? ›

The factors of 4000 can be listed as 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000 and 4000.

Why is 8 divisible by 4? ›

The reason is in what division is and what the numbers 4 and 8 are. Theorem: If a number is evenly by another, it is also evenly divisible by a factor of that number. 8 is evenly divisible by 4.

Can 7 go into 30? ›

Write this value above the radicand and write the product of the divisor and this value below, then subtract. 7 goes into 30 a total of 4 times, and the product of 7 and 4 is 28.

How to work out 8 divided by 16? ›

8 divided by 16 is 0.5 or ½. This problem is easy to solve if you write the division as a fraction: 8/16.

How do you write an answer after division? ›

Quotient – The quotient is your answer, which goes after the equals (=) sign or on the top of the division bar. Remainder – In some cases, you'll have a remainder — which means that the divisor can't be equally divided into the dividend. The remainder is written to the side of your equation next to the division bar.

How do you write a polynomial long division answer? ›

Long Division Algorithm of Polynomials

The division algorithm for polynomials says, if p(x) and g(x) are the two polynomials, where g(x) ≠ 0, we can write the division of polynomials as: p(x) = q(x) × g(x) + r(x).

What are the words for division answers? ›

(The answer to a division problem is called a quotient. The number being divided is called a dividend and the number doing the dividing is called the divisor.)

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