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

Confused by long division? By the end of this article you'll be able to divide 420 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 420 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, 420, 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 420 divided by 3 and explain each of them so you understand exactly what is going on.

420 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:

3420

Step 2

We can work out that the divisor (3) goes into the first digit of the dividend (4), 1 time(s). Now we know that, we can put 1 at the top:

1
3420

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
3420
3

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (4 - 3 = 1) and write that answer below:

1
3420
-3
1

Step 5

Move the second digit of the dividend (2) down like so:

1
3420
-3
12

Step 6

The divisor (3) goes into the bottom number (12), 4 time(s), so we can put 4 on top:

14
3420
-3
12

Step 7

If we multiply the divisor by the result in the previous step (3 x 4 = 12), we can now add that answer below the dividend:

14
3420
-3
12
12

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (12 - 12 = 0) and write that answer below:

14
3420
-3
12
-12
0

Step 9

Move the third digit of the dividend (0) down like so:

14
3420
-3
12
-12
0

Step 10

The divisor (3) goes into the bottom number (0), 0 time(s), so we can put 0 on top:

140
3420
-3
12
-12
0

Step 11

If we multiply the divisor by the result in the previous step (3 x 0 = 0), we can now add that answer below the dividend:

140
3420
-3
12
-12
0
0

Step 12

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

140
3420
-3
12
-12
0
-0
0

So, what is the answer to 420 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 420 divided by 3, the final solution is:

140

Remainder 0

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Extra calculations for you

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

  • Using a calculator, if you typed in 420 divided by 3, you'd get 140.
  • You could also express 420/3 as a mixed fraction: 140 0/3
  • If you look at the mixed fraction 140 0/3, you'll see that the numerator is the same as the remainder (0), the denominator is our original divisor (3), and the whole number is our final answer (140).

Long Division Calculator

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What is 420 Divided by 3 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 20 divided by 3 long division? ›

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. For example, you can't split twenty balloons into three even groups, so you would have six even groups of three balloons, with two balloons left over.

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 the long division of 100 by 3? ›

so you see writing (in base ten) 100÷3=33.333333 does not mean that we cannot divide 100 into three equal parts.

What grade do kids learn long division? ›

Moving into 5th grade, your child will calculate whole number quotients with four-digit dividends and two-digit divisors. It is typical to begin using the standard algorithm, or long division, in 5th grade.

What are the four steps in order to 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.

Is 420 divisible by 3? ›

The factors of 420 are 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 because all these numbers divide the number 420 evenly.

What equals 420? ›

Factor of 420 in Pairs
Positive Factor PairsNegative Factor Pairs
12 × 35 = 420; (12, 35)(-12) × (-35) = 420; (-12, -35)
14 × 30 = 420; (14, 30)(-14) × (-30) = 420; (-14, -30)
15 × 28 = 420; (15, 28)(-15) × (-28) = 420; (-15, -28)
20 × 21 = 420; (20, 21)(-20) × (-21) = 420; (-20, -21)
9 more rows

Is 420 divisible by 10? ›

Divisibility by 10

The ones digit in 420 is 0. So, 420 is divisible by 10.

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.

What is the solution of 3 divided by 20? ›

We get that 3 ÷ 20 = 0.15. We see how we can use long division to find 3 divided by 20, and we have that 3 divided by 20 is 3/20 in fraction form and 0.15 in decimal form.

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