What is 420 Divided by 21 Using Long Division? (2024)

Confused by long division? By the end of this article you'll be able to divide 420 by 21 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 21 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, 21 is called the divisor.

What we'll do here is break down each step of the long division process for 420 divided by 21 and explain each of them so you understand exactly what is going on.

420 divided by 21 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:

21420

Step 2

We can work out that the divisor (21) goes into the first digit of the dividend (4), 0 time(s). Now we know that, we can put 0 at the top:

0
21420

Step 3

If we multiply the divisor by the result in the previous step (21 x 0 = 0), we can now add that answer below the dividend:

0
21420
0

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (4 - 0 = 4) and write that answer below:

0
21420
-0
4

Step 5

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

0
21420
-0
42

Step 6

The divisor (21) goes into the bottom number (42), 2 time(s), so we can put 2 on top:

02
21420
-0
42

Step 7

If we multiply the divisor by the result in the previous step (21 x 2 = 42), we can now add that answer below the dividend:

02
21420
-0
42
42

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (42 - 42 = 0) and write that answer below:

02
21420
-0
42
-42
0

Step 9

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

02
21420
-0
42
-42
0

Step 10

The divisor (21) goes into the bottom number (0), 0 time(s), so we can put 0 on top:

020
21420
-0
42
-42
0

Step 11

If we multiply the divisor by the result in the previous step (21 x 0 = 0), we can now add that answer below the dividend:

020
21420
-0
42
-42
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:

020
21420
-0
42
-42
0
-0
0

So, what is the answer to 420 divided by 21?

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 21, the final solution is:

20

Remainder 0

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Extra calculations for you

Now you've learned the long division approach to 420 divided by 21, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 420 divided by 21, you'd get 20.
  • You could also express 420/21 as a mixed fraction: 20 0/21
  • If you look at the mixed fraction 20 0/21, you'll see that the numerator is the same as the remainder (0), the denominator is our original divisor (21), and the whole number is our final answer (20).

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What is 420 Divided by 21 Using Long Division? (2024)

FAQs

What is 420 divisible by 21? ›

Therefore, 420 divided by 21 is 20.

What is 21 divided by 2 using long division method? ›

21 divided by 2 = 10.5

21 divided by 2 by long division method. When we divide 21 by 2, we will start with the first digit on the left. Since it is divisible, we get quotient 1 and remainder 0.

How do you divide 420? ›

Here, the quotient obtained on division is also a factor of 420. 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 numbers is 420 divisible 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 can be divisible by 21? ›

The factors of 21 are 1, 3, 7 and 21.

What is the root of 21 by long division method? ›

Bring down the next pair of zeros. 23600 is the new dividend. Repeat the division process till we get the remainder. Thus we have accurately determined the value of square root of 21 as 4.582.

What is 21 divided by 6 in long division? ›

Notice that the quotient of 21 ÷ 6 is 3, because 6 × 3 = 18, so 6 fits into 21 three times. Then, what's leftover is 21 - 18, or 3, so the remainder is also 3. Plugging q = 3 and r = 3 into our rule and then simplifying, we get the following: 21 ÷ 6 = 3 3/6 = 3 1/2.

What is 21 divided evenly? ›

The factor of 21 is a natural number that divides 21 evenly, leaving zero remainder. 1, 3, 7, and 21 are the factors of 21.

What times 21 equals 420? ›

Factor of 420 in Pairs
Positive Factor PairsNegative Factor Pairs
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)
21 × 20 = 420; (21, 20)(-21) × (-20) = 420; (-21, -20)
9 more rows

How to solve √420? ›

The square root of 420 is expressed as √420 in the radical form and as (420)½ or (420)0.5 in the exponent form. The square root of 420 rounded up to 9 decimal places is 20.493901532. It is the positive solution of the equation x2 = 420. We can express the square root of 420 in its lowest radical form as 2 √105.

Is 420 a multiple of 12? ›

All multiples of 12

132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300, 312, 324, 336, 348, 360, 372, 384, 396, 408, 420, 432, 444, 456, 468, 480, 492, 504, 516, 528, 540, 552, 564, 576, 588, 600, etc.

What multiplies into 420? ›

Factor of 420 in Pairs
Positive Factor PairsNegative Factor Pairs
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)
21 × 20 = 420; (21, 20)(-21) × (-20) = 420; (-21, -20)
9 more rows

Which of the following are divisible by 21? ›

For a number to be divisible by 21, it has to be divisible by 3 and 7. Divisibility rule for 3 ⇒ Sum of all the digits is divisible by 3. Divisibility rule for 7 ⇒ (Given number excluding the unit digit - 2 × unit digit) is divisible by 7. ⇒ hence, the number 2373 is divisible by 21.

In which table 21 is divisible? ›

Each multiple of 21 is entirely divisible by 7 and occurs in the table of 7, hence, each multiple of 21 is also the multiple of 7. As each multiple of 21 is entirely divisible by 3 and also occurs in the table of 3, hence every multiple of 21 is also a multiple of 3.

Is 441 divisible by 21? ›

The number 441 is divisible by 1, 3, 7, 9, 21, 49, 63, 147, 441.

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