Confused by long division? By the end of this article you'll be able to divide 4289 by 5001 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 4289 divided by 5001 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, 4289, is called the dividend.
- The second number, 5001 is called the divisor.
What we'll do here is break down each step of the long division process for 4289 divided by 5001 and explain each of them so you understand exactly what is going on.
4289 divided by 5001 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:
5 | 0 | 0 | 1 | 4 | 2 | 8 | 9 |
Step 2
We can work out that the divisor (5001) goes into the first digit of the dividend (4), 0 time(s). Now we know that, we can put 0 at the top:
0 | |||||||||||||
5 | 0 | 0 | 1 | 4 | 2 | 8 | 9 |
Step 3
If we multiply the divisor by the result in the previous step (5001 x 0 = 0), we can now add that answer below the dividend:
0 | |||||||||||||
5 | 0 | 0 | 1 | 4 | 2 | 8 | 9 | ||||||
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 | |||||||||||||
5 | 0 | 0 | 1 | 4 | 2 | 8 | 9 | ||||||
- | 0 | ||||||||||||
4 |
Step 5
Move the second digit of the dividend (2) down like so:
0 | |||||||||||||
5 | 0 | 0 | 1 | 4 | 2 | 8 | 9 | ||||||
- | 0 | ||||||||||||
4 | 2 |
Step 6
The divisor (5001) goes into the bottom number (42), 0 time(s), so we can put 0 on top:
0 | 0 | ||||||||||||
5 | 0 | 0 | 1 | 4 | 2 | 8 | 9 | ||||||
- | 0 | ||||||||||||
4 | 2 |
Step 7
If we multiply the divisor by the result in the previous step (5001 x 0 = 0), we can now add that answer below the dividend:
0 | 0 | ||||||||||||
5 | 0 | 0 | 1 | 4 | 2 | 8 | 9 | ||||||
- | 0 | ||||||||||||
4 | 2 | ||||||||||||
0 |
Step 8
Next, we will subtract the result from the previous step from the third digit of the dividend (42 - 0 = 42) and write that answer below:
0 | 0 | ||||||||||||
5 | 0 | 0 | 1 | 4 | 2 | 8 | 9 | ||||||
- | 0 | ||||||||||||
4 | 2 | ||||||||||||
- | 0 | ||||||||||||
4 | 2 |
Step 9
Move the third digit of the dividend (8) down like so:
0 | 0 | ||||||||||||
5 | 0 | 0 | 1 | 4 | 2 | 8 | 9 | ||||||
- | 0 | ||||||||||||
4 | 2 | ||||||||||||
- | 0 | ||||||||||||
4 | 2 | 8 |
Step 10
The divisor (5001) goes into the bottom number (428), 0 time(s), so we can put 0 on top:
0 | 0 | 0 | |||||||||||
5 | 0 | 0 | 1 | 4 | 2 | 8 | 9 | ||||||
- | 0 | ||||||||||||
4 | 2 | ||||||||||||
- | 0 | ||||||||||||
4 | 2 | 8 |
Step 11
If we multiply the divisor by the result in the previous step (5001 x 0 = 0), we can now add that answer below the dividend:
0 | 0 | 0 | |||||||||||
5 | 0 | 0 | 1 | 4 | 2 | 8 | 9 | ||||||
- | 0 | ||||||||||||
4 | 2 | ||||||||||||
- | 0 | ||||||||||||
4 | 2 | 8 | |||||||||||
0 |
Step 12
Next, we will subtract the result from the previous step from the fourth digit of the dividend (428 - 0 = 428) and write that answer below:
0 | 0 | 0 | |||||||||||
5 | 0 | 0 | 1 | 4 | 2 | 8 | 9 | ||||||
- | 0 | ||||||||||||
4 | 2 | ||||||||||||
- | 0 | ||||||||||||
4 | 2 | 8 | |||||||||||
- | 0 | ||||||||||||
4 | 2 | 8 |
Step 13
Move the fourth digit of the dividend (9) down like so:
0 | 0 | 0 | |||||||||||
5 | 0 | 0 | 1 | 4 | 2 | 8 | 9 | ||||||
- | 0 | ||||||||||||
4 | 2 | ||||||||||||
- | 0 | ||||||||||||
4 | 2 | 8 | |||||||||||
- | 0 | ||||||||||||
4 | 2 | 8 | 9 |
Step 14
The divisor (5001) goes into the bottom number (4289), 0 time(s), so we can put 0 on top:
0 | 0 | 0 | 0 | ||||||||||
5 | 0 | 0 | 1 | 4 | 2 | 8 | 9 | ||||||
- | 0 | ||||||||||||
4 | 2 | ||||||||||||
- | 0 | ||||||||||||
4 | 2 | 8 | |||||||||||
- | 0 | ||||||||||||
4 | 2 | 8 | 9 |
Step 15
If we multiply the divisor by the result in the previous step (5001 x 0 = 0), we can now add that answer below the dividend:
0 | 0 | 0 | 0 | ||||||||||
5 | 0 | 0 | 1 | 4 | 2 | 8 | 9 | ||||||
- | 0 | ||||||||||||
4 | 2 | ||||||||||||
- | 0 | ||||||||||||
4 | 2 | 8 | |||||||||||
- | 0 | ||||||||||||
4 | 2 | 8 | 9 | ||||||||||
0 |
Step 16
Next, we will subtract the result from the previous step from the fifth digit of the dividend (4289 - 0 = 4289) and write that answer below:
0 | 0 | 0 | 0 | ||||||||||
5 | 0 | 0 | 1 | 4 | 2 | 8 | 9 | ||||||
- | 0 | ||||||||||||
4 | 2 | ||||||||||||
- | 0 | ||||||||||||
4 | 2 | 8 | |||||||||||
- | 0 | ||||||||||||
4 | 2 | 8 | 9 | ||||||||||
- | 0 | ||||||||||||
4 | 2 | 8 | 9 |
So, what is the answer to 4289 divided by 5001?
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 4289 divided by 5001, the final solution is:
Remainder 4289
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-4289-divided-by-5001-using-long-division/">What is 4289 Divided by 5001 Using Long Division?</a>
"What is 4289 Divided by 5001 Using Long Division?". VisualFractions.com. Accessed on July 27, 2024. http://visualfractions.com/calculator/long-division/what-is-4289-divided-by-5001-using-long-division/.
"What is 4289 Divided by 5001 Using Long Division?". VisualFractions.com, http://visualfractions.com/calculator/long-division/what-is-4289-divided-by-5001-using-long-division/. Accessed 27 July, 2024.
What is 4289 Divided by 5001 Using Long Division?. VisualFractions.com. Retrieved from http://visualfractions.com/calculator/long-division/what-is-4289-divided-by-5001-using-long-division/.
Extra calculations for you
Now you've learned the long division approach to 4289 divided by 5001, here are a few other ways you might do the calculation:
- Using a calculator, if you typed in 4289 divided by 5001, you'd get 0.8576.
- You could also express 4289/5001 as a mixed fraction: 0 4289/5001
- If you look at the mixed fraction 0 4289/5001, you'll see that the numerator is the same as the remainder (4289), the denominator is our original divisor (5001), and the whole number is our final answer (0).
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 4289 divided by 5002 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 518 divided by 642 using long division?
What is 127 divided by 173 using long division?
What is 306 divided by 399 using long division?
What is 984 divided by 987 using long division?
What is 975 divided by 980 using long division?
What is 668 divided by 796 using long division?
What is 963 divided by 980 using long division?
What is 169 divided by 269 using long division?
What is 568 divided by 669 using long division?
What is 145 divided by 522 using long division?
What is 942 divided by 1000 using long division?
What is 958 divided by 968 using long division?
What is 581 divided by 721 using long division?
What is 566 divided by 837 using long division?
What is 61 divided by 915 using long division?
What is 268 divided by 558 using long division?
What is 437 divided by 885 using long division?
What is 528 divided by 897 using long division?
What is 835 divided by 954 using long division?
What is 722 divided by 978 using long division?
What is 343 divided by 389 using long division?
What is 193 divided by 243 using long division?
What is 715 divided by 856 using long division?
What is 678 divided by 930 using long division?
What is 344 divided by 753 using long division?
What is 903 divided by 932 using long division?
What is 857 divided by 905 using long division?
What is 770 divided by 807 using long division?
What is 742 divided by 991 using long division?
What is 217 divided by 332 using long division?
What is 365 divided by 976 using long division?
What is 70 divided by 89 using long division?
What is 266 divided by 476 using long division?
What is 84 divided by 586 using long division?
What is 727 divided by 893 using long division?
What is 511 divided by 847 using long division?
What is 342 divided by 484 using long division?
What is 396 divided by 600 using long division?
What is 315 divided by 363 using long division?
What is 215 divided by 874 using long division?
What is 580 divided by 718 using long division?
What is 576 divided by 948 using long division?
What is 802 divided by 823 using long division?
What is 470 divided by 645 using long division?
What is 87 divided by 875 using long division?
What is 74 divided by 243 using long division?
What is 248 divided by 310 using long division?
What is 598 divided by 974 using long division?
What is 424 divided by 945 using long division?
What is 553 divided by 869 using long division?
What is 885 divided by 962 using long division?
What is 824 divided by 931 using long division?
What is 655 divided by 780 using long division?
What is 406 divided by 491 using long division?
What is 456 divided by 953 using long division?
What is 452 divided by 874 using long division?
What is 135 divided by 978 using long division?
What is 516 divided by 694 using long division?
What is 317 divided by 508 using long division?
What is 22 divided by 260 using long division?
What is 262 divided by 564 using long division?
What is 702 divided by 873 using long division?
What is 87 divided by 358 using long division?
What is 456 divided by 476 using long division?
What is 560 divided by 719 using long division?
What is 872 divided by 896 using long division?
What is 693 divided by 761 using long division?
What is 924 divided by 941 using long division?
What is 842 divided by 898 using long division?
What is 939 divided by 990 using long division?
What is 206 divided by 213 using long division?
What is 985 divided by 987 using long division?
What is 790 divided by 799 using long division?
What is 701 divided by 942 using long division?
What is 351 divided by 750 using long division?
What is 170 divided by 932 using long division?
What is 822 divided by 908 using long division?
What is 682 divided by 718 using long division?
What is 480 divided by 550 using long division?
What is 927 divided by 993 using long division?
What is 562 divided by 753 using long division?
What is 452 divided by 617 using long division?
What is 764 divided by 803 using long division?
What is 831 divided by 933 using long division?
What is 241 divided by 272 using long division?
What is 447 divided by 617 using long division?
What is 879 divided by 895 using long division?
What is 442 divided by 760 using long division?
What is 122 divided by 169 using long division?
What is 809 divided by 917 using long division?
What is 793 divided by 808 using long division?
What is 342 divided by 358 using long division?
What is 658 divided by 960 using long division?
What is 402 divided by 967 using long division?
What is 854 divided by 915 using long division?
What is 541 divided by 718 using long division?
What is 203 divided by 821 using long division?
What is 870 divided by 960 using long division?
What is 280 divided by 503 using long division?
What is 132 divided by 959 using long division?
What is 229 divided by 665 using long division?