What is 849 Divided by 24 Using Long Division? (2024)

Confused by long division? By the end of this article you'll be able to divide 849 by 24 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 849 divided by 24 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, 849, is called the dividend.
  • The second number, 24 is called the divisor.

What we'll do here is break down each step of the long division process for 849 divided by 24 and explain each of them so you understand exactly what is going on.

849 divided by 24 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:

24849

Step 2

We can work out that the divisor (24) goes into the first digit of the dividend (8), 0 time(s). Now we know that, we can put 0 at the top:

0
24849

Step 3

If we multiply the divisor by the result in the previous step (24 x 0 = 0), we can now add that answer below the dividend:

0
24849
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
24849
-0
8

Step 5

Move the second digit of the dividend (4) down like so:

0
24849
-0
84

Step 6

The divisor (24) goes into the bottom number (84), 3 time(s), so we can put 3 on top:

03
24849
-0
84

Step 7

If we multiply the divisor by the result in the previous step (24 x 3 = 72), we can now add that answer below the dividend:

03
24849
-0
84
72

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (84 - 72 = 12) and write that answer below:

03
24849
-0
84
-72
12

Step 9

Move the third digit of the dividend (9) down like so:

03
24849
-0
84
-72
129

Step 10

The divisor (24) goes into the bottom number (129), 5 time(s), so we can put 5 on top:

035
24849
-0
84
-72
129

Step 11

If we multiply the divisor by the result in the previous step (24 x 5 = 120), we can now add that answer below the dividend:

035
24849
-0
84
-72
129
120

Step 12

Next, we will subtract the result from the previous step from the fourth digit of the dividend (129 - 120 = 9) and write that answer below:

035
24849
-0
84
-72
129
-120
9

So, what is the answer to 849 divided by 24?

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 849 divided by 24, the final solution is:

35

Remainder 9

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Extra calculations for you

Now you've learned the long division approach to 849 divided by 24, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 849 divided by 24, you'd get 35.375.
  • You could also express 849/24 as a mixed fraction: 35 9/24
  • If you look at the mixed fraction 35 9/24, you'll see that the numerator is the same as the remainder (9), the denominator is our original divisor (24), and the whole number is our final answer (35).

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What is 849 divided by 25 using long division?

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What is 849 Divided by 24 Using Long Division? (2024)

FAQs

What is the remainder of 24 divided by 849? ›

Expert-Verified Answer

The quotient is 0 and the remainder is 0. Therefore, when dividing 24 by 849, the answer is 0 with no remainder.

How do you divide 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 279 divided by 24 with a remainder? ›

When 279 is divided by 24, the quotient is 11 with a remainder of 15. So, 279 divided by 24 is equal to 11 with a remainder of 15.

What is the remainder of 89 24? ›

89 ÷ 24 = 3 with a remainder of 17.

What is 24 evenly divided by? ›

What are the factors of 24? Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.

What does it mean to divide using long division? ›

In Math, long division is the mathematical method for dividing large numbers into multiple smaller groups or parts. The number which we divide into small groups is called the dividend, the number by which we divide is called the divisor. It helps to break down a problem into simple and easy steps.

How do you write a long division answer? ›

Long division is laid out in the same way as short division: The dividend (the number being divided) goes under the 'bus stop' or 'house' (or whatever nickname you refer to it as), the divisor (number the dividend is being divided by) goes to the left of the 'bus stop,' and the quotient (answer) goes on top, with each ...

What can be divided by 24? ›

The factors of 24 can be listed as 1, 2, 3, 4, 6, 8, 12, and 24. According to the definition of factors, the factors of 24 are those numbers that divide 24 without leaving any remainder.

Can 24 be divided by 4? ›

The result of division of 24÷4 24 ÷ 4 is 6 .

What is the division of 24 by 2? ›

Dividing 24 by 2, we get the number 12.

What is 200 divided by 24 with remainder? ›

When doing this, use the remainder as the numerator and the divisor as the denominator. Your equation would then read: 200 / 24 = 8 8/24. You can further reduce this fraction by dividing the numerator and denominator by 3 (the greatest common factor). Your reduced fraction would be: 8 1/3.

When a number is divided by 24 the remainder is 16? ›

Sixty-four divided by 24 gives a remainder of 16, while 64 divided by 12 also gives a remainder of 4.

What is the remainder of 10000 divided by 24? ›

Answer and Explanation:

10,000 divided by 24 is equal to 416 remainder 16 or 416 2/3. To find 10,000 ÷ 24, we first find the quotient and remainder of 10,000 ÷ 24. We can do this using long division. We get that the quotient of 10,000 ÷ 24 is 416, and the remainder is 16.

What is the remainder of 643 divided by 24? ›

The result of division of 643÷24 643 ÷ 24 is 26 with a remainder of 19 .

How do I find a remainder? ›

Step 1: Divide the dividend by the divisor using integer division, ignoring any remainder. Step 2: Multiply the divisor by the quotient obtained in step 1. Step 3: Subtract the result obtained in step 2 from the dividend. Step 4: The resulting integer is the remainder.

What is 24 divided by 7907 with remainder? ›

To divide 7907 by 24, perform long division and the answer is 329 with a remainder of 19.

What is the remainder of 24 10? ›

The remainder is 2.

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