What is 3 Divided by 420 Using Long Division? (2024)

Confused by long division? By the end of this article you'll be able to divide 3 by 420 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 3 divided by 420 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, 3, is called the dividend.
  • The second number, 420 is called the divisor.

What we'll do here is break down each step of the long division process for 3 divided by 420 and explain each of them so you understand exactly what is going on.

3 divided by 420 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:

4203

Step 2

We can work out that the divisor (420) goes into the first digit of the dividend (3), 0 time(s). Now we know that, we can put 0 at the top:

0
4203

Step 3

If we multiply the divisor by the result in the previous step (420 x 0 = 0), we can now add that answer below the dividend:

0
4203
0

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (3 - 0 = 3) and write that answer below:

0
4203
-0
3

So, what is the answer to 3 divided by 420?

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 3 divided by 420, the final solution is:

Remainder 3

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Extra calculations for you

Now you've learned the long division approach to 3 divided by 420, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 3 divided by 420, you'd get 0.0071.
  • You could also express 3/420 as a mixed fraction: 0 3/420
  • If you look at the mixed fraction 0 3/420, you'll see that the numerator is the same as the remainder (3), the denominator is our original divisor (420), and the whole number is our final answer (0).

Long Division Calculator

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What is 3 divided by 421 using long division?

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What is 3 Divided by 420 Using Long Division? (2024)

FAQs

How to solve 420 divided by 3? ›

The result of 420/3 is 140.
  1. 420 divided by 3 in decimal = 140.
  2. 420 divided by 3 in fraction = 420/3.
  3. 420 divided by 3 in percentage = 14000%

What is 3 divided by 45 in long division? ›

The result of division of 45÷3 45 ÷ 3 is 15 .

What is 20 divided by 3 long division? ›

Answer and Explanation:

20 divided by 3 equals 6 with a remainder of 2 (20 / 3 = 6 R. 2). When you divide 20 by 3, it does not come out evenly because 3 is not a factor of 20.

What can 420 be divided by? ›

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20 ,21, 28, 30 , 35, 42, 60, 70, 84, 105, 140, 210 and 420 are the factors that divide 420 evenly without any remainder.

What is 9999 divide by 420? ›

Answer: The greatest 4-digit number is 9999. Divide 9999 by 420, 339 is the remainder. The required number is 9999 – 339 = 9660.

What is a 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 80 in long division? ›

Place this digit in the quotient on top of the division symbol. Multiply the newest quotient digit (6) by the divisor 3 . Subtract 18 from 20 . The result of division of 80÷3 80 ÷ 3 is 26 with a remainder of 2 .

What is the division 3 divided by 100? ›

100/3=33.4(approx) is your answer.

What is 3 divided by 20 working? ›

Then multiply 0.05 by 3 and you get 0.15. Of course, the much simpler fractional answer is 3/20. Numerator 100 will get divided by denominator 20 which results 5. (3*5)/100= 15/100= 0.15 will be the answer.

How do you divide 4 divided by 3? ›

4 divided by 3 is equal to 1 with a remainder of 1 (4 / 3 = 1 R.

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