What is 104 Divided by 4 Using Long Division? (2024)

Confused by long division? By the end of this article you'll be able to divide 104 by 4 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 104 divided by 4 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, 104, is called the dividend.
  • The second number, 4 is called the divisor.

What we'll do here is break down each step of the long division process for 104 divided by 4 and explain each of them so you understand exactly what is going on.

104 divided by 4 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:

4104

Step 2

We can work out that the divisor (4) goes into the first digit of the dividend (1), 0 time(s). Now we know that, we can put 0 at the top:

0
4104

Step 3

If we multiply the divisor by the result in the previous step (4 x 0 = 0), we can now add that answer below the dividend:

0
4104
0

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (1 - 0 = 1) and write that answer below:

0
4104
-0
1

Step 5

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

0
4104
-0
10

Step 6

The divisor (4) goes into the bottom number (10), 2 time(s), so we can put 2 on top:

02
4104
-0
10

Step 7

If we multiply the divisor by the result in the previous step (4 x 2 = 8), we can now add that answer below the dividend:

02
4104
-0
10
8

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (10 - 8 = 2) and write that answer below:

02
4104
-0
10
-8
2

Step 9

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

02
4104
-0
10
-8
24

Step 10

The divisor (4) goes into the bottom number (24), 6 time(s), so we can put 6 on top:

026
4104
-0
10
-8
24

Step 11

If we multiply the divisor by the result in the previous step (4 x 6 = 24), we can now add that answer below the dividend:

026
4104
-0
10
-8
24
24

Step 12

Next, we will subtract the result from the previous step from the fourth digit of the dividend (24 - 24 = 0) and write that answer below:

026
4104
-0
10
-8
24
-24
0

So, what is the answer to 104 divided by 4?

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 104 divided by 4, the final solution is:

26

Remainder 0

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Extra calculations for you

Now you've learned the long division approach to 104 divided by 4, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 104 divided by 4, you'd get 26.
  • You could also express 104/4 as a mixed fraction: 26 0/4
  • If you look at the mixed fraction 26 0/4, you'll see that the numerator is the same as the remainder (0), the denominator is our original divisor (4), and the whole number is our final answer (26).

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What is 104 Divided by 4 Using Long Division? (2024)

FAQs

Is 104 divisible by 4? ›

The number 104 is divisible by 1, 2, 4, 8, 13, 26, 52, 104.

What is the solution to 104 4? ›

Divide 104 by 4 to get 26.

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 is the 4 method of long division? ›

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 can 104 be divided into? ›

104 (number)
← 103 104 105 →
Factorization23 × 13
Divisors1, 2, 4, 8, 13, 26, 52, 104
Greek numeralΡΔ´
Roman numeralCIV
9 more rows

Is 104 a multiple of 13 or 4? ›

The first 10 multiples of 13 are: 13, 26, 39, 52, 65, 78, 91, 104, 117 and 130.

How do I calculate long division? ›

How to Do Long Division in Simple Steps
  1. Set up the problem. Write the dividend (845) under the division bar and the divisor (3) outside the bar.
  2. Divide. ...
  3. Multiply. ...
  4. Subtract. ...
  5. Bring down the next digit. ...
  6. Repeat the steps. ...
  7. The final answer with a remainder. ...
  8. Convert the remainder to decimal form.
Feb 6, 2024

What is the rule for division by 4? ›

If the last two digits of a number are divisible by 4, the number is divisible by 4. If the last two digits of a number are 0's, the number is divisible by 4 because 4 divides 100. For example, 324 is divisible by 4 because 4 divides 24, and 1500 is divisible by 4 because the last two digits are 0's.

What is the root of 4 by long division method? ›

Square Root of 4 By Long Division

Thus the complete process of the long division stops here as the remainder is 0. Thus, the quotient 2 is the square root of 4. Important Notes: The square root of 4 in the radical form is expressed as √4.

What is anything divisible by 4? ›

The divisibility rule of 4 is defined as the given number being divisible by 4 if the last two digit numbers of the given number are zeros or they are the multiples of 4 (4, 8,12,16,20,24,.....). This rule helps students to find out if the given number is divisible by 4 or not.

What is the divisibility of 4? ›

Divisibility Rule of 4

If the last two digits of a number are divisible by 4, then that number is a multiple of 4 and is divisible by 4 completely. Example: Take the number 2308. Consider the last two digits i.e. 08. As 08 is divisible by 4, the original number 2308 is also divisible by 4.

What factors are divisible by 4? ›

Pair Factors of 4
Positive Factors of 4Positive Pair Factors of 4
1 × 4(1, 4)
2 × 2(2, 2)

Is 108 divisible by 4? ›

The number 108 is divisible by 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108.

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