What is 420 Divided by 12 Using Long Division? (2024)

Confused by long division? By the end of this article you'll be able to divide 420 by 12 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 12 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, 12 is called the divisor.

What we'll do here is break down each step of the long division process for 420 divided by 12 and explain each of them so you understand exactly what is going on.

420 divided by 12 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:

12420

Step 2

We can work out that the divisor (12) goes into the first digit of the dividend (4), 0 time(s). Now we know that, we can put 0 at the top:

0
12420

Step 3

If we multiply the divisor by the result in the previous step (12 x 0 = 0), we can now add that answer below the dividend:

0
12420
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
12420
-0
4

Step 5

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

0
12420
-0
42

Step 6

The divisor (12) goes into the bottom number (42), 3 time(s), so we can put 3 on top:

03
12420
-0
42

Step 7

If we multiply the divisor by the result in the previous step (12 x 3 = 36), we can now add that answer below the dividend:

03
12420
-0
42
36

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (42 - 36 = 6) and write that answer below:

03
12420
-0
42
-36
6

Step 9

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

03
12420
-0
42
-36
60

Step 10

The divisor (12) goes into the bottom number (60), 5 time(s), so we can put 5 on top:

035
12420
-0
42
-36
60

Step 11

If we multiply the divisor by the result in the previous step (12 x 5 = 60), we can now add that answer below the dividend:

035
12420
-0
42
-36
60
60

Step 12

Next, we will subtract the result from the previous step from the fourth digit of the dividend (60 - 60 = 0) and write that answer below:

035
12420
-0
42
-36
60
-60
0

So, what is the answer to 420 divided by 12?

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 12, the final solution is:

35

Remainder 0

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Extra calculations for you

Now you've learned the long division approach to 420 divided by 12, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 420 divided by 12, you'd get 35.
  • You could also express 420/12 as a mixed fraction: 35 0/12
  • If you look at the mixed fraction 35 0/12, you'll see that the numerator is the same as the remainder (0), the denominator is our original divisor (12), and the whole number is our final answer (35).

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What is 420 Divided by 12 Using Long Division? (2024)

FAQs

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.

How much is 14000 divided by 23 long division method? ›

Answer: Answer to How much is 14000 divided by 23 using long division ? Math answers to fraction 14000 divided by 23 can be calculated as follows. 14000/23 math problems division = 608.695652174.

What is the 4 method of long division? ›

Long division method: How to do long division. Long division is laid out in the same way as short division: dividend (the number being divided) under the 'bus stop', divisor (number the dividend is being divided by) to the left of the 'bus stop'; quotient (answer) on top, with each place value aligned with the dividend ...

Is 420 divisible by 12? ›

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.

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 math problem 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

Do kids do long division? ›

It is typical to begin using the standard algorithm, or long division, in 5th grade.

How can I calculate division? ›

Division Math Formula

The formula to calculate the division of two numbers is: Dividend ÷ Divisor = Quotient + Remainder. The remainder is the leftover number in the division operation. If 46 is divided by 5, we get the quotient as 9 and the remainder 1.

What is 27 divided by 4 using long division? ›

Place this digit in the quotient on top of the division symbol. Multiply the newest quotient digit (6) by the divisor 4 . Subtract 24 from 27 . The result of division of 27÷4 27 ÷ 4 is 6 with a remainder of 3 .

What is √42 by long division method? ›

Find a number (m) such that 12m×m≤600. Here, the number m will be 4 as 124×4=496≤600. Step 6: Now repeat the above step for the remaining two pairs of zeros. Therefore, the square root of 42 by the long division method is 6.480.

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.

How to divide large numbers quickly? ›

2 Use halving and doubling

Another useful technique to divide large numbers mentally is to use halving and doubling, which is based on the fact that dividing by 2 is the same as multiplying by 0.5, and vice versa. For example, if you want to divide 720 by 24, you can halve both numbers until you get an easier division.

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