What is 84 Divided by 7 Using Long Division? (2024)

Confused by long division? By the end of this article you'll be able to divide 84 by 7 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 84 divided by 7 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, 84, is called the dividend.
  • The second number, 7 is called the divisor.

What we'll do here is break down each step of the long division process for 84 divided by 7 and explain each of them so you understand exactly what is going on.

84 divided by 7 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:

784

Step 2

We can work out that the divisor (7) goes into the first digit of the dividend (8), 1 time(s). Now we know that, we can put 1 at the top:

1
784

Step 3

If we multiply the divisor by the result in the previous step (7 x 1 = 7), we can now add that answer below the dividend:

1
784
7

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (8 - 7 = 1) and write that answer below:

1
784
-7
1

Step 5

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

1
784
-7
14

Step 6

The divisor (7) goes into the bottom number (14), 2 time(s), so we can put 2 on top:

12
784
-7
14

Step 7

If we multiply the divisor by the result in the previous step (7 x 2 = 14), we can now add that answer below the dividend:

12
784
-7
14
14

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (14 - 14 = 0) and write that answer below:

12
784
-7
14
-14
0

So, what is the answer to 84 divided by 7?

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 84 divided by 7, the final solution is:

12

Remainder 0

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Extra calculations for you

Now you've learned the long division approach to 84 divided by 7, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 84 divided by 7, you'd get 12.
  • You could also express 84/7 as a mixed fraction: 12 0/7
  • If you look at the mixed fraction 12 0/7, you'll see that the numerator is the same as the remainder (0), the denominator is our original divisor (7), and the whole number is our final answer (12).

Long Division Calculator

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What is 84 divided by 8 using long division?

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What is 84 Divided by 7 Using Long Division? (2024)

FAQs

What is 84 divisible by 7? ›

This means that 84 divided by 7 equals 12.

What is the quotient when 84 is divided by 7? ›

Yes, 84 is divisible by 7. 84 divided by 7 equals 12.

What is the division of 84? ›

Factors of 84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

What is 84 divisible? ›

It is divisible by 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.

Is 7 a factor of 84? ›

The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

How to solve 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.

Is 84 divisible by 6 yes or no? ›

84 divided by 6 is 14. The best way to tackle this problem is with a process called long division, which allows us to solve division problems with larger values.

What are the 4 steps of long division? ›

For long division problems, remember to follow the divide, multiply, subtract, and drop down process until each digit in the dividend has been divided.

What are the 5 steps of long division? ›

What are the 5 steps of long division? Divide, multiply, subtract, bring the next digit down and repeat the previous steps.

Which numbers are divisible by 7? ›

There are 14 numbers between 1 and 100 that can be divided by 7 precisely. 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91 and 98 are the numbers.

Is 84 divisible by 8? ›

Remainder = 4. Therefore, 084 is not divisible by 8 and hence 21084 is not divisible by 8. Here, the last two digits of the given number are 7 and 2. Remainder = 0.

Is 7 divisible by anything? ›

Divisors of 7 are 1 and 7 because its a prime number. In order to know wether or not a number is divisible by 7 you have to substract the number without the units and the double of the units. If the result is 0 or multiple of 7 then its divisible by 7.

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