What is 7 Divided by 3 Using Long Division? (2024)

Confused by long division? By the end of this article you'll be able to divide 7 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 7 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, 7, 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 7 divided by 3 and explain each of them so you understand exactly what is going on.

7 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:

37

Step 2

We can work out that the divisor (3) goes into the first digit of the dividend (7), 2 time(s). Now we know that, we can put 2 at the top:

2
37

Step 3

If we multiply the divisor by the result in the previous step (3 x 2 = 6), we can now add that answer below the dividend:

2
37
6

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (7 - 6 = 1) and write that answer below:

2
37
-6
1

So, what is the answer to 7 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 7 divided by 3, the final solution is:

2

Remainder 1

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Extra calculations for you

Now you've learned the long division approach to 7 divided by 3, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 7 divided by 3, you'd get 2.3333.
  • You could also express 7/3 as a mixed fraction: 2 1/3
  • If you look at the mixed fraction 2 1/3, you'll see that the numerator is the same as the remainder (1), the denominator is our original divisor (3), and the whole number is our final answer (2).

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 7 divided by 4 using long division?

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What is 7 Divided by 3 Using Long Division? (2024)

FAQs

What is 7 Divided by 3 Using Long Division? ›

Place this digit in the quotient on top of the division symbol. Multiply the newest quotient digit (2) by the divisor 3 . Subtract 6 from 7 . The result of division of 7÷3 7 ÷ 3 is 2 with a remainder of 1 .

What is the division of 3 by 7? ›

Answer: 3/7 as a decimal is expressed as 0.428.

What is the remainder of 7 3? ›

7 divided by 3 is 2 with a remainder of 1. By using mental math, you start by looking at the number 7.

How do you solve 7 divided by 3? ›

Put 7 in the numerator and 3 in the denominator and it can be written as 7/3. Divide 7 by 3. 7 divided by 3 gives quotient 2 and leaves a remainder 1. 7 divided by 3 further can be written in mixed fraction form which is 2 1/3.

What is 3 and 7 divisible by? ›

Only ONE number between 1 and 25 is divisible (a zero remainder) by both 3 and 7; It's 21 which is the product of 3 and 7, i.e., 3 x 7 = 7 x 3 = 21. Also, 21 ÷ 3 = 7 and 21 ÷ 7 = 3.

What gives a remainder of 3 when divided by 7? ›

One such number is 10, as 10 divided by 7 equals 1 with a remainder of 3. Another example would be 17, as 17 divided by 7 equals 2 with a remainder of 3.

How to write 3 divided by 7 as a fraction? ›

Here, the numerator is 3 and the denominator is 7. So, here numerator is less than the denominator. Simply we write 3 in numerator and 7 in the denominator as a result 3 divided by 7 can be written as (3/7) in fraction form. Thus, 3 divided by 7 as a fraction can be written as (3/7).

Is 70 divisible by 3? ›

Answer and Explanation:

70 divided by 3 is equal to 23 with a remainder of 1 (70 / 3 = 23 R. 1) or 23.3333333....

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.

What is 3 divided by 7 in fractions? ›

Here, the numerator is 3 and the denominator is 7. So, here numerator is less than the denominator. Simply we write 3 in numerator and 7 in the denominator as a result 3 divided by 7 can be written as (3/7) in fraction form. Thus, 3 divided by 7 as a fraction can be written as (3/7).

What is a 3 digit number divided by 7? ›

Hence, 994 is the largest 3 digit number which is divisible by 7. So, the numbers that are divisible by 7 are: 105, 112, 119, ….., 987, 994. Since the common difference of the numbers in the above sequence is the same which is 7.

What can 7 and 3 both be divided by? ›

The GCF of 3 and 7 is 1. To calculate the GCF of 3 and 7, we need to factor each number (factors of 3 = 1, 3; factors of 7 = 1, 7) and choose the greatest factor that exactly divides both 3 and 7, i.e., 1.

References

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