Confused by long division? By the end of this article you'll be able to divide 72 by 27 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 72 divided by 27 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, 72, is called the dividend.
- The second number, 27 is called the divisor.
What we'll do here is break down each step of the long division process for 72 divided by 27 and explain each of them so you understand exactly what is going on.
72 divided by 27 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 | 7 | 7 | 2 |
Step 2
We can work out that the divisor (27) goes into the first digit of the dividend (7), 0 time(s). Now we know that, we can put 0 at the top:
| 0 | |||||||
| 2 | 7 | 7 | 2 |
Step 3
If we multiply the divisor by the result in the previous step (27 x 0 = 0), we can now add that answer below the dividend:
| 0 | |||||||
| 2 | 7 | 7 | 2 | ||||
| 0 |
Step 4
Next, we will subtract the result from the previous step from the second digit of the dividend (7 - 0 = 7) and write that answer below:
| 0 | |||||||
| 2 | 7 | 7 | 2 | ||||
| - | 0 | ||||||
| 7 |
Step 5
Move the second digit of the dividend (2) down like so:
| 0 | |||||||
| 2 | 7 | 7 | 2 | ||||
| - | 0 | ||||||
| 7 | 2 |
Step 6
The divisor (27) goes into the bottom number (72), 2 time(s), so we can put 2 on top:
| 0 | 2 | ||||||
| 2 | 7 | 7 | 2 | ||||
| - | 0 | ||||||
| 7 | 2 |
Step 7
If we multiply the divisor by the result in the previous step (27 x 2 = 54), we can now add that answer below the dividend:
| 0 | 2 | ||||||
| 2 | 7 | 7 | 2 | ||||
| - | 0 | ||||||
| 7 | 2 | ||||||
| 5 | 4 |
Step 8
Next, we will subtract the result from the previous step from the third digit of the dividend (72 - 54 = 18) and write that answer below:
| 0 | 2 | ||||||
| 2 | 7 | 7 | 2 | ||||
| - | 0 | ||||||
| 7 | 2 | ||||||
| - | 5 | 4 | |||||
| 1 | 8 |
So, what is the answer to 72 divided by 27?
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 72 divided by 27, the final solution is:
2
Remainder 18
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-72-divided-by-27-using-long-division/">What is 72 Divided by 27 Using Long Division?</a>
"What is 72 Divided by 27 Using Long Division?". VisualFractions.com. Accessed on August 4, 2024. http://visualfractions.com/calculator/long-division/what-is-72-divided-by-27-using-long-division/.
"What is 72 Divided by 27 Using Long Division?". VisualFractions.com, http://visualfractions.com/calculator/long-division/what-is-72-divided-by-27-using-long-division/. Accessed 4 August, 2024.
What is 72 Divided by 27 Using Long Division?. VisualFractions.com. Retrieved from http://visualfractions.com/calculator/long-division/what-is-72-divided-by-27-using-long-division/.
Extra calculations for you
Now you've learned the long division approach to 72 divided by 27, here are a few other ways you might do the calculation:
- Using a calculator, if you typed in 72 divided by 27, you'd get 2.6667.
- You could also express 72/27 as a mixed fraction: 2 18/27
- If you look at the mixed fraction 2 18/27, you'll see that the numerator is the same as the remainder (18), the denominator is our original divisor (27), and the whole number is our final answer (2).
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 72 divided by 28 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 884 divided by 920 using long division?
What is 922 divided by 987 using long division?
What is 691 divided by 766 using long division?
What is 930 divided by 970 using long division?
What is 949 divided by 987 using long division?
What is 256 divided by 770 using long division?
What is 791 divided by 832 using long division?
What is 176 divided by 260 using long division?
What is 765 divided by 838 using long division?
What is 378 divided by 745 using long division?
What is 915 divided by 931 using long division?
What is 116 divided by 227 using long division?
What is 170 divided by 350 using long division?
What is 532 divided by 740 using long division?
What is 846 divided by 940 using long division?
What is 269 divided by 859 using long division?
What is 357 divided by 799 using long division?
What is 503 divided by 683 using long division?
What is 884 divided by 905 using long division?
What is 247 divided by 712 using long division?
What is 959 divided by 1000 using long division?
What is 383 divided by 523 using long division?
What is 634 divided by 999 using long division?
What is 445 divided by 736 using long division?
What is 859 divided by 982 using long division?
What is 586 divided by 985 using long division?
What is 607 divided by 757 using long division?
What is 113 divided by 508 using long division?
What is 350 divided by 572 using long division?
What is 873 divided by 939 using long division?
What is 962 divided by 977 using long division?
What is 694 divided by 720 using long division?
What is 269 divided by 985 using long division?
What is 101 divided by 466 using long division?
What is 368 divided by 658 using long division?
What is 710 divided by 850 using long division?
What is 736 divided by 907 using long division?
What is 897 divided by 946 using long division?
What is 106 divided by 717 using long division?
What is 646 divided by 900 using long division?
What is 464 divided by 527 using long division?
What is 800 divided by 878 using long division?
What is 933 divided by 944 using long division?
What is 240 divided by 459 using long division?
What is 156 divided by 753 using long division?
What is 950 divided by 985 using long division?
What is 119 divided by 742 using long division?
What is 477 divided by 638 using long division?
What is 95 divided by 509 using long division?
What is 739 divided by 888 using long division?
What is 682 divided by 986 using long division?
What is 290 divided by 997 using long division?
What is 820 divided by 842 using long division?
What is 94 divided by 226 using long division?
What is 983 divided by 995 using long division?
What is 470 divided by 913 using long division?
What is 539 divided by 663 using long division?
What is 37 divided by 342 using long division?
What is 322 divided by 975 using long division?
What is 609 divided by 619 using long division?
What is 15 divided by 915 using long division?
What is 909 divided by 947 using long division?
What is 161 divided by 338 using long division?
What is 675 divided by 815 using long division?
What is 662 divided by 854 using long division?
What is 868 divided by 900 using long division?
What is 594 divided by 656 using long division?
What is 104 divided by 484 using long division?
What is 127 divided by 326 using long division?
What is 224 divided by 645 using long division?
What is 585 divided by 603 using long division?
What is 253 divided by 774 using long division?
What is 588 divided by 998 using long division?
What is 894 divided by 922 using long division?
What is 267 divided by 440 using long division?
What is 435 divided by 626 using long division?
What is 429 divided by 734 using long division?
What is 359 divided by 600 using long division?
What is 519 divided by 849 using long division?
What is 854 divided by 928 using long division?
What is 230 divided by 694 using long division?
What is 261 divided by 423 using long division?
What is 910 divided by 964 using long division?
What is 430 divided by 907 using long division?
What is 970 divided by 985 using long division?
What is 981 divided by 997 using long division?
What is 320 divided by 541 using long division?
What is 106 divided by 943 using long division?
What is 377 divided by 557 using long division?
What is 202 divided by 761 using long division?
What is 220 divided by 993 using long division?
What is 507 divided by 601 using long division?
What is 448 divided by 945 using long division?
What is 374 divided by 615 using long division?
What is 754 divided by 941 using long division?
What is 899 divided by 927 using long division?
What is 749 divided by 832 using long division?
What is 489 divided by 919 using long division?
What is 662 divided by 936 using long division?
What is 136 divided by 220 using long division?
What is 919 divided by 945 using long division?
