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:
| 2 | 1 | 4 | 2 | 0 |
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 | ||||||||
| 2 | 1 | 4 | 2 | 0 |
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 | ||||||||
| 2 | 1 | 4 | 2 | 0 | ||||
| 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 | ||||||||
| 2 | 1 | 4 | 2 | 0 | ||||
| - | 0 | |||||||
| 4 |
Step 5
Move the second digit of the dividend (2) down like so:
| 0 | ||||||||
| 2 | 1 | 4 | 2 | 0 | ||||
| - | 0 | |||||||
| 4 | 2 |
Step 6
The divisor (21) goes into the bottom number (42), 2 time(s), so we can put 2 on top:
| 0 | 2 | |||||||
| 2 | 1 | 4 | 2 | 0 | ||||
| - | 0 | |||||||
| 4 | 2 |
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:
| 0 | 2 | |||||||
| 2 | 1 | 4 | 2 | 0 | ||||
| - | 0 | |||||||
| 4 | 2 | |||||||
| 4 | 2 |
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:
| 0 | 2 | |||||||
| 2 | 1 | 4 | 2 | 0 | ||||
| - | 0 | |||||||
| 4 | 2 | |||||||
| - | 4 | 2 | ||||||
| 0 |
Step 9
Move the third digit of the dividend (0) down like so:
| 0 | 2 | |||||||
| 2 | 1 | 4 | 2 | 0 | ||||
| - | 0 | |||||||
| 4 | 2 | |||||||
| - | 4 | 2 | ||||||
| 0 |
Step 10
The divisor (21) goes into the bottom number (0), 0 time(s), so we can put 0 on top:
| 0 | 2 | 0 | ||||||
| 2 | 1 | 4 | 2 | 0 | ||||
| - | 0 | |||||||
| 4 | 2 | |||||||
| - | 4 | 2 | ||||||
| 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:
| 0 | 2 | 0 | ||||||
| 2 | 1 | 4 | 2 | 0 | ||||
| - | 0 | |||||||
| 4 | 2 | |||||||
| - | 4 | 2 | ||||||
| 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:
| 0 | 2 | 0 | ||||||
| 2 | 1 | 4 | 2 | 0 | ||||
| - | 0 | |||||||
| 4 | 2 | |||||||
| - | 4 | 2 | ||||||
| 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
Cite, Link, or Reference This Page
If you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. We really appreciate your support!
<a href="http://visualfractions.com/calculator/long-division/what-is-420-divided-by-21-using-long-division/">What is 420 Divided by 21 Using Long Division?</a>
"What is 420 Divided by 21 Using Long Division?". VisualFractions.com. Accessed on July 6, 2024. http://visualfractions.com/calculator/long-division/what-is-420-divided-by-21-using-long-division/.
"What is 420 Divided by 21 Using Long Division?". VisualFractions.com, http://visualfractions.com/calculator/long-division/what-is-420-divided-by-21-using-long-division/. Accessed 6 July, 2024.
What is 420 Divided by 21 Using Long Division?. VisualFractions.com. Retrieved from http://visualfractions.com/calculator/long-division/what-is-420-divided-by-21-using-long-division/.
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).
Long Division Calculator
Enter another long division problem to solve
/
Next Long Division Problem
Eager for more long division but can't be bothered to type two numbers into the calculator above? No worries. Here's the next problem for you to solve:
What is 420 divided by 22 using long division?
Random Long Division Problems
If you made it this far down the page then you must REALLY love long division problems, huh? Below are a bunch of randomly generated calculations for your long dividing pleasure:
What is 552 divided by 915 using long division?
What is 199 divided by 515 using long division?
What is 24 divided by 799 using long division?
What is 377 divided by 684 using long division?
What is 868 divided by 997 using long division?
What is 803 divided by 872 using long division?
What is 224 divided by 320 using long division?
What is 312 divided by 843 using long division?
What is 851 divided by 891 using long division?
What is 892 divided by 919 using long division?
What is 294 divided by 519 using long division?
What is 914 divided by 996 using long division?
What is 134 divided by 264 using long division?
What is 541 divided by 685 using long division?
What is 888 divided by 978 using long division?
What is 529 divided by 928 using long division?
What is 602 divided by 786 using long division?
What is 575 divided by 820 using long division?
What is 665 divided by 890 using long division?
What is 914 divided by 938 using long division?
What is 747 divided by 952 using long division?
What is 166 divided by 901 using long division?
What is 28 divided by 578 using long division?
What is 221 divided by 927 using long division?
What is 260 divided by 738 using long division?
What is 992 divided by 995 using long division?
What is 925 divided by 986 using long division?
What is 790 divided by 854 using long division?
What is 981 divided by 995 using long division?
What is 230 divided by 905 using long division?
What is 689 divided by 907 using long division?
What is 445 divided by 640 using long division?
What is 650 divided by 790 using long division?
What is 818 divided by 942 using long division?
What is 787 divided by 976 using long division?
What is 765 divided by 857 using long division?
What is 664 divided by 998 using long division?
What is 293 divided by 717 using long division?
What is 172 divided by 653 using long division?
What is 952 divided by 995 using long division?
What is 589 divided by 677 using long division?
What is 78 divided by 390 using long division?
What is 86 divided by 525 using long division?
What is 253 divided by 743 using long division?
What is 898 divided by 964 using long division?
What is 534 divided by 860 using long division?
What is 88 divided by 99 using long division?
What is 372 divided by 987 using long division?
What is 576 divided by 824 using long division?
What is 289 divided by 624 using long division?
What is 894 divided by 903 using long division?
What is 546 divided by 756 using long division?
What is 306 divided by 732 using long division?
What is 452 divided by 796 using long division?
What is 789 divided by 795 using long division?
What is 562 divided by 598 using long division?
What is 464 divided by 645 using long division?
What is 820 divided by 885 using long division?
What is 841 divided by 930 using long division?
What is 795 divided by 870 using long division?
What is 891 divided by 954 using long division?
What is 308 divided by 490 using long division?
What is 783 divided by 894 using long division?
What is 241 divided by 604 using long division?
What is 592 divided by 628 using long division?
What is 544 divided by 990 using long division?
What is 31 divided by 779 using long division?
What is 587 divided by 963 using long division?
What is 874 divided by 978 using long division?
What is 825 divided by 891 using long division?
What is 812 divided by 829 using long division?
What is 192 divided by 543 using long division?
What is 490 divided by 631 using long division?
What is 608 divided by 685 using long division?
What is 566 divided by 589 using long division?
What is 43 divided by 823 using long division?
What is 571 divided by 941 using long division?
What is 230 divided by 625 using long division?
What is 838 divided by 1000 using long division?
What is 351 divided by 696 using long division?
What is 183 divided by 432 using long division?
What is 695 divided by 700 using long division?
What is 330 divided by 748 using long division?
What is 353 divided by 884 using long division?
What is 202 divided by 307 using long division?
What is 54 divided by 79 using long division?
What is 606 divided by 838 using long division?
What is 731 divided by 937 using long division?
What is 531 divided by 941 using long division?
What is 140 divided by 488 using long division?
What is 572 divided by 670 using long division?
What is 87 divided by 955 using long division?
What is 305 divided by 495 using long division?
What is 199 divided by 793 using long division?
What is 100 divided by 153 using long division?
What is 728 divided by 848 using long division?
What is 741 divided by 899 using long division?
What is 43 divided by 338 using long division?
What is 269 divided by 929 using long division?
What is 118 divided by 231 using long division?
What is 883 divided by 892 using long division?
