What is 4289 Divided by 5001 Using Long Division? (2024)

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:

50014289

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
50014289

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
50014289
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
50014289
-0
4

Step 5

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

0
50014289
-0
42

Step 6

The divisor (5001) goes into the bottom number (42), 0 time(s), so we can put 0 on top:

00
50014289
-0
42

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:

00
50014289
-0
42
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:

00
50014289
-0
42
-0
42

Step 9

Move the third digit of the dividend (8) down like so:

00
50014289
-0
42
-0
428

Step 10

The divisor (5001) goes into the bottom number (428), 0 time(s), so we can put 0 on top:

000
50014289
-0
42
-0
428

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:

000
50014289
-0
42
-0
428
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:

000
50014289
-0
42
-0
428
-0
428

Step 13

Move the fourth digit of the dividend (9) down like so:

000
50014289
-0
42
-0
428
-0
4289

Step 14

The divisor (5001) goes into the bottom number (4289), 0 time(s), so we can put 0 on top:

0000
50014289
-0
42
-0
428
-0
4289

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:

0000
50014289
-0
42
-0
428
-0
4289
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:

0000
50014289
-0
42
-0
428
-0
4289
-0
4289

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

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  • "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

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What is 4289 divided by 5002 using long division?

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What is 4289 Divided by 5001 Using Long Division? (2024)

FAQs

What is 587 divided by 2 in long division? ›

The result of division of 587÷2 587 ÷ 2 is 293 with a remainder of 1 .

What is the answer to 14000 divided by 23? ›

Answer: 14000 divided by 23 equals 608 with a remainder of 16.

What is the solution of 547802 divided by 97? ›

Hence, the remainder is 43 and the quotient is 5647.

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 grade do kids learn long division? ›

Moving into 5th grade, your child will calculate whole number quotients with four-digit dividends and two-digit divisors. It is typical to begin using the standard algorithm, or long division, in 5th grade.

How to explain division to a 7 year old? ›

Division by grouping

Ask your child to find out how many there are in a group of toys or pieces of fruit. Explain to them that you want to find out how many groups of two there are in the total group. Help your child to take two items at a time and count how many groups of two there are in the total number.

What is the formula to check answer in division? ›

The formula Dividend = (Divisor x Quotient) + Remainder is correct.

How do you find the answer of division? ›

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.

How do you know which number goes where in long division? ›

Begin the long division algorithm by writing the dividend inside the division symbol and the divisor outside it, to the left. The quotient will go on top.

How do you find the decimal answer in long division? ›

Therefore, the three steps to performing long division with decimals are: 1) eliminate the decimal from the divisor, if any; 2) perform long division as usual; and 3) use the same decimal place for the quotient as in the dividend.

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