What is 5 Divided by 3 Using Long Division? (2024)

Confused by long division? By the end of this article you'll be able to divide 5 by 3 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 5 divided by 3 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, 5, is called the dividend.
  • The second number, 3 is called the divisor.

What we'll do here is break down each step of the long division process for 5 divided by 3 and explain each of them so you understand exactly what is going on.

5 divided by 3 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:

35

Step 2

We can work out that the divisor (3) goes into the first digit of the dividend (5), 1 time(s). Now we know that, we can put 1 at the top:

1
35

Step 3

If we multiply the divisor by the result in the previous step (3 x 1 = 3), we can now add that answer below the dividend:

1
35
3

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (5 - 3 = 2) and write that answer below:

1
35
-3
2

So, what is the answer to 5 divided by 3?

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 5 divided by 3, the final solution is:

1

Remainder 2

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Extra calculations for you

Now you've learned the long division approach to 5 divided by 3, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 5 divided by 3, you'd get 1.6667.
  • You could also express 5/3 as a mixed fraction: 1 2/3
  • If you look at the mixed fraction 1 2/3, you'll see that the numerator is the same as the remainder (2), the denominator is our original divisor (3), and the whole number is our final answer (1).

Long Division Calculator

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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 5 divided by 4 using long division?

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What is 5 Divided by 3 Using Long Division? (2024)

FAQs

How do you divide 5 divided by 3? ›

5 divided by 3 is equal to 1 with a remainder of 2. In other words, 5 divided by 3 is approximately equal to 1.6666666666666667. If you want to express the result as a mixed number, you can write it as 1 2/3. If you want to express the result as a decimal, you can write it as 1.6666666666666667.

What is 5 3 by division method? ›

Writing 5/3 as a decimal using division method

To convert any fraction to decimal form, we just need to divide its numerator by denominator. This gives the Quotient as 1.666... So, ;5 over 3 as a decimal is 1.66... Observe that it is a recurring quotient , which means that the 6 is repeating and never-ending.

What is the division of 3 by 5? ›

Answer: The value of 3 divided by 5 as a fraction is 3/ 5.

What divided by 5 gives you 3? ›

The value of P is 15

The question is relating to algebra.

What is 5 and 3 divisible by? ›

Divisibility rules for numbers 1–30
DivisorDivisibility condition
15It is divisible by 3 and by 5.
16If the thousands digit is even, the number formed by the last three digits must be divisible by 16.
If the thousands digit is odd, the number formed by the last three digits must be 8 times an odd number.
80 more rows

How can I calculate my division? ›

Follow the formulas below.
  1. Formula1: Dividend ÷ Divisor = Quotient.
  2. Formula 2: Dividend ÷ Divisor = Quotient with a remainder of Remainder.
  3. Step 1: First, enter the dividend.
  4. Step 2: Next, input the divisor.
  5. Step 3: Click the calculate button.

What is the division trick for 5? ›

To divide a number by 5, double the number and then divide the result by 10. Doubling a number is generally easier to do mentally, making the process more manageable. The order of operations (doubling first or dividing by 10 first) does not affect the outcome, offering flexibility based on the number being divided.

What can 3 and 5 both be divided by? ›

The HCF of 3 and 5 is 1.

The HCF of 3 and 5 is the greatest integer that can divide both numbers evenly, and that number is 1. HCF stands for Highest Common Factor. It is also known as GCF, Greatest Common Factor or GCD, Greatest Common Divisor.

What is 1 divided by 3 long division? ›

Answer and Explanation:

1 divided by 3 is equal to the fraction 1/3 or the repeating decimal 0.333333333... forever. The line in-between the numerator (1) and the denominator (3) in 1/3 actually means 'divided by. ' So 1/3 is the same as 1 divided by 3, or the number '1' broken into 3 equal parts.

What is the rule for division by 5? ›

What is the Divisibility Rule of 5? The divisibility rule of 5 states that if the digit on the units place, that is, the last digit of a given number is 5 or 0, then such a number is divisible by 5. For example, in 39865, the last digit is 5, hence, the number is completely divisible by 5.

Can you divide 5 by 3? ›

The result of division of 5÷3 5 ÷ 3 is 1 with a remainder of 2 .

How do you solve 5 to 3? ›

53 = 5 × 5 × 5 = 125. 53 can also be understood as 5 cubed. Whenever a number (x) is multiplied by itself three times, then the resultant answer is known as the cube of that number.

How do I divide a fraction? ›

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

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