What is 9 Divided by 4 Using Long Division? (2024)

Confused by long division? By the end of this article you'll be able to divide 9 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 9 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, 9, 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 9 divided by 4 and explain each of them so you understand exactly what is going on.

9 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:

49

Step 2

We can work out that the divisor (4) goes into the first digit of the dividend (9), 2 time(s). Now we know that, we can put 2 at the top:

2
49

Step 3

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:

2
49
8

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (9 - 8 = 1) and write that answer below:

2
49
-8
1

So, what is the answer to 9 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 9 divided by 4, the final solution is:

2

Remainder 1

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Extra calculations for you

Now you've learned the long division approach to 9 divided by 4, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 9 divided by 4, you'd get 2.25.
  • You could also express 9/4 as a mixed fraction: 2 1/4
  • If you look at the mixed fraction 2 1/4, you'll see that the numerator is the same as the remainder (1), the denominator is our original divisor (4), and the whole number is our final answer (2).

Long Division Calculator

Enter another long division problem to solve

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Eager for more long division but can't be bothered to type two numbers into the calculator above? No worries. Here's the next problem for you to solve:

What is 9 divided by 5 using long division?

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What is 9 Divided by 4 Using Long Division? (2024)

FAQs

What is 9 Divided by 4 Using Long Division? ›

For example, 9 cannot be evenly divided by 4. Instead, knowing that 8 ÷ 4 = 2, this can be used to determine that 9 ÷ 4 = 2 R1. In other words, 9 divided by 4 equals 2, with a remainder of 1.

What do you divide 4 by to get 9? ›

We get x = 36, so 36 divided by 4 equals 9.

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 method: How to do long division. Long division is laid out in the same way as short division: dividend (the number being divided) under the 'bus stop', divisor (number the dividend is being divided by) to the left of the 'bus stop'; quotient (answer) on top, with each place value aligned with the dividend ...

What can be divided by 4 and 9? ›

LCM = Product of highest powers of the prime factors of the given numbers. LCM = 2² * 3² = 4 * 9 = 36. So, the smallest number divisible by both 4 and 9 is 36.

What is the long division method? ›

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.

What is the division of 9? ›

The divisibility rule of 9 states that if the sum of all the digits of a number is divisible by 9, then the number would be divisible by 9.

Is 9 4 a mixed number? ›

Answer: 9/4 as a mixed number is 2 1/4

Let's look at how to convert an improper fraction into a mixed number. Explanation: The numerator is divided by the denominator to convert an improper fraction to a mixed number. Divide 9 by 4.

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