Confused by long division? By the end of this article you'll be able to divide 840 by 160 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 840 divided by 160 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, 840, is called the dividend.
- The second number, 160 is called the divisor.
What we'll do here is break down each step of the long division process for 840 divided by 160 and explain each of them so you understand exactly what is going on.
840 divided by 160 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:
1 | 6 | 0 | 8 | 4 | 0 |
Step 2
We can work out that the divisor (160) goes into the first digit of the dividend (8), 0 time(s). Now we know that, we can put 0 at the top:
0 | ||||||||||
1 | 6 | 0 | 8 | 4 | 0 |
Step 3
If we multiply the divisor by the result in the previous step (160 x 0 = 0), we can now add that answer below the dividend:
0 | ||||||||||
1 | 6 | 0 | 8 | 4 | 0 | |||||
0 |
Step 4
Next, we will subtract the result from the previous step from the second digit of the dividend (8 - 0 = 8) and write that answer below:
0 | ||||||||||
1 | 6 | 0 | 8 | 4 | 0 | |||||
- | 0 | |||||||||
8 |
Step 5
Move the second digit of the dividend (4) down like so:
0 | ||||||||||
1 | 6 | 0 | 8 | 4 | 0 | |||||
- | 0 | |||||||||
8 | 4 |
Step 6
The divisor (160) goes into the bottom number (84), 0 time(s), so we can put 0 on top:
0 | 0 | |||||||||
1 | 6 | 0 | 8 | 4 | 0 | |||||
- | 0 | |||||||||
8 | 4 |
Step 7
If we multiply the divisor by the result in the previous step (160 x 0 = 0), we can now add that answer below the dividend:
0 | 0 | |||||||||
1 | 6 | 0 | 8 | 4 | 0 | |||||
- | 0 | |||||||||
8 | 4 | |||||||||
0 |
Step 8
Next, we will subtract the result from the previous step from the third digit of the dividend (84 - 0 = 84) and write that answer below:
0 | 0 | |||||||||
1 | 6 | 0 | 8 | 4 | 0 | |||||
- | 0 | |||||||||
8 | 4 | |||||||||
- | 0 | |||||||||
8 | 4 |
Step 9
Move the third digit of the dividend (0) down like so:
0 | 0 | |||||||||
1 | 6 | 0 | 8 | 4 | 0 | |||||
- | 0 | |||||||||
8 | 4 | |||||||||
- | 0 | |||||||||
8 | 4 | 0 |
Step 10
The divisor (160) goes into the bottom number (840), 5 time(s), so we can put 5 on top:
0 | 0 | 5 | ||||||||
1 | 6 | 0 | 8 | 4 | 0 | |||||
- | 0 | |||||||||
8 | 4 | |||||||||
- | 0 | |||||||||
8 | 4 | 0 |
Step 11
If we multiply the divisor by the result in the previous step (160 x 5 = 800), we can now add that answer below the dividend:
0 | 0 | 5 | ||||||||
1 | 6 | 0 | 8 | 4 | 0 | |||||
- | 0 | |||||||||
8 | 4 | |||||||||
- | 0 | |||||||||
8 | 4 | 0 | ||||||||
8 | 0 | 0 |
Step 12
Next, we will subtract the result from the previous step from the fourth digit of the dividend (840 - 800 = 40) and write that answer below:
0 | 0 | 5 | ||||||||
1 | 6 | 0 | 8 | 4 | 0 | |||||
- | 0 | |||||||||
8 | 4 | |||||||||
- | 0 | |||||||||
8 | 4 | 0 | ||||||||
- | 8 | 0 | 0 | |||||||
4 | 0 |
So, what is the answer to 840 divided by 160?
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 840 divided by 160, the final solution is:
5
Remainder 40
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-840-divided-by-160-using-long-division/">What is 840 Divided by 160 Using Long Division?</a>
"What is 840 Divided by 160 Using Long Division?". VisualFractions.com. Accessed on July 8, 2024. http://visualfractions.com/calculator/long-division/what-is-840-divided-by-160-using-long-division/.
"What is 840 Divided by 160 Using Long Division?". VisualFractions.com, http://visualfractions.com/calculator/long-division/what-is-840-divided-by-160-using-long-division/. Accessed 8 July, 2024.
What is 840 Divided by 160 Using Long Division?. VisualFractions.com. Retrieved from http://visualfractions.com/calculator/long-division/what-is-840-divided-by-160-using-long-division/.
Extra calculations for you
Now you've learned the long division approach to 840 divided by 160, here are a few other ways you might do the calculation:
- Using a calculator, if you typed in 840 divided by 160, you'd get 5.25.
- You could also express 840/160 as a mixed fraction: 5 40/160
- If you look at the mixed fraction 5 40/160, you'll see that the numerator is the same as the remainder (40), the denominator is our original divisor (160), and the whole number is our final answer (5).
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 840 divided by 161 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 457 divided by 736 using long division?
What is 271 divided by 405 using long division?
What is 777 divided by 850 using long division?
What is 360 divided by 546 using long division?
What is 475 divided by 938 using long division?
What is 562 divided by 713 using long division?
What is 42 divided by 618 using long division?
What is 898 divided by 924 using long division?
What is 620 divided by 847 using long division?
What is 26 divided by 94 using long division?
What is 865 divided by 938 using long division?
What is 213 divided by 845 using long division?
What is 263 divided by 465 using long division?
What is 183 divided by 330 using long division?
What is 158 divided by 373 using long division?
What is 893 divided by 961 using long division?
What is 211 divided by 567 using long division?
What is 562 divided by 703 using long division?
What is 223 divided by 283 using long division?
What is 256 divided by 315 using long division?
What is 879 divided by 902 using long division?
What is 507 divided by 718 using long division?
What is 618 divided by 662 using long division?
What is 464 divided by 829 using long division?
What is 514 divided by 810 using long division?
What is 142 divided by 990 using long division?
What is 59 divided by 902 using long division?
What is 904 divided by 905 using long division?
What is 862 divided by 884 using long division?
What is 169 divided by 531 using long division?
What is 182 divided by 573 using long division?
What is 725 divided by 743 using long division?
What is 153 divided by 286 using long division?
What is 515 divided by 708 using long division?
What is 581 divided by 941 using long division?
What is 800 divided by 829 using long division?
What is 121 divided by 498 using long division?
What is 254 divided by 920 using long division?
What is 876 divided by 981 using long division?
What is 80 divided by 755 using long division?
What is 884 divided by 921 using long division?
What is 50 divided by 929 using long division?
What is 438 divided by 899 using long division?
What is 133 divided by 255 using long division?
What is 608 divided by 960 using long division?
What is 964 divided by 975 using long division?
What is 763 divided by 860 using long division?
What is 508 divided by 889 using long division?
What is 522 divided by 640 using long division?
What is 155 divided by 381 using long division?
What is 769 divided by 856 using long division?
What is 922 divided by 950 using long division?
What is 488 divided by 564 using long division?
What is 287 divided by 785 using long division?
What is 689 divided by 912 using long division?
What is 677 divided by 688 using long division?
What is 557 divided by 940 using long division?
What is 53 divided by 67 using long division?
What is 990 divided by 996 using long division?
What is 670 divided by 754 using long division?
What is 238 divided by 684 using long division?
What is 36 divided by 505 using long division?
What is 837 divided by 929 using long division?
What is 817 divided by 863 using long division?
What is 178 divided by 626 using long division?
What is 741 divided by 805 using long division?
What is 592 divided by 913 using long division?
What is 240 divided by 246 using long division?
What is 91 divided by 135 using long division?
What is 217 divided by 558 using long division?
What is 214 divided by 418 using long division?
What is 966 divided by 979 using long division?
What is 894 divided by 956 using long division?
What is 440 divided by 726 using long division?
What is 374 divided by 447 using long division?
What is 348 divided by 378 using long division?
What is 27 divided by 777 using long division?
What is 50 divided by 800 using long division?
What is 826 divided by 892 using long division?
What is 39 divided by 800 using long division?
What is 691 divided by 701 using long division?
What is 61 divided by 798 using long division?
What is 509 divided by 840 using long division?
What is 238 divided by 719 using long division?
What is 88 divided by 510 using long division?
What is 791 divided by 978 using long division?
What is 599 divided by 723 using long division?
What is 142 divided by 952 using long division?
What is 858 divided by 900 using long division?
What is 826 divided by 996 using long division?
What is 800 divided by 854 using long division?
What is 522 divided by 692 using long division?
What is 120 divided by 977 using long division?
What is 152 divided by 420 using long division?
What is 615 divided by 839 using long division?
What is 970 divided by 1000 using long division?
What is 161 divided by 908 using long division?
What is 663 divided by 996 using long division?
What is 957 divided by 998 using long division?
What is 287 divided by 528 using long division?
What is 866 divided by 951 using long division?