What is 300 Divided by 60 Using Long Division? (2024)

Confused by long division? By the end of this article you'll be able to divide 300 by 60 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 300 divided by 60 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, 300, is called the dividend.
  • The second number, 60 is called the divisor.

What we'll do here is break down each step of the long division process for 300 divided by 60 and explain each of them so you understand exactly what is going on.

300 divided by 60 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:

60300

Step 2

We can work out that the divisor (60) goes into the first digit of the dividend (3), 0 time(s). Now we know that, we can put 0 at the top:

0
60300

Step 3

If we multiply the divisor by the result in the previous step (60 x 0 = 0), we can now add that answer below the dividend:

0
60300
0

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (3 - 0 = 3) and write that answer below:

0
60300
-0
3

Step 5

Move the second digit of the dividend (0) down like so:

0
60300
-0
30

Step 6

The divisor (60) goes into the bottom number (30), 0 time(s), so we can put 0 on top:

00
60300
-0
30

Step 7

If we multiply the divisor by the result in the previous step (60 x 0 = 0), we can now add that answer below the dividend:

00
60300
-0
30
0

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (30 - 0 = 30) and write that answer below:

00
60300
-0
30
-0
30

Step 9

Move the third digit of the dividend (0) down like so:

00
60300
-0
30
-0
300

Step 10

The divisor (60) goes into the bottom number (300), 5 time(s), so we can put 5 on top:

005
60300
-0
30
-0
300

Step 11

If we multiply the divisor by the result in the previous step (60 x 5 = 300), we can now add that answer below the dividend:

005
60300
-0
30
-0
300
300

Step 12

Next, we will subtract the result from the previous step from the fourth digit of the dividend (300 - 300 = 0) and write that answer below:

005
60300
-0
30
-0
300
-300
0

So, what is the answer to 300 divided by 60?

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 300 divided by 60, the final solution is:

5

Remainder 0

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Extra calculations for you

Now you've learned the long division approach to 300 divided by 60, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 300 divided by 60, you'd get 5.
  • You could also express 300/60 as a mixed fraction: 5 0/60
  • If you look at the mixed fraction 5 0/60, you'll see that the numerator is the same as the remainder (0), the denominator is our original divisor (60), and the whole number is our final answer (5).

Long Division Calculator

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What is 300 divided by 61 using long division?

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What is 300 Divided by 60 Using Long Division? (2024)

FAQs

How to work out 300 divided by 6? ›

300 divided by 6 is 50. There's a trick to dividing large numbers that end in zero. You simply remove a zero, divide the smaller number, and add the zero back on to your answer. In this case you would change 300 to 30 and divide (30 / 6 = 5), then add your zero back on to get the final answer of 50.

How do you find the answer in long division? ›

How to Do Long Division in Simple Steps
  1. Set up the problem. Write the dividend (845) under the division bar and the divisor (3) outside the bar.
  2. Divide. ...
  3. Multiply. ...
  4. Subtract. ...
  5. Bring down the next digit. ...
  6. Repeat the steps. ...
  7. The final answer with a remainder. ...
  8. Convert the remainder to decimal form.
Feb 6, 2024

Can you divide 300? ›

Factors for 300 are the numbers that divide 300 into equal parts. These factors are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and 300.

What is 6000 divide by 300? ›

Divide 6000 by 300 to get 20.

Can 300 be divided by 7? ›

300 divided by 7 is equal to 42 with a remainder of 6.

What is a long division example? ›

Long Division with Mixed Number

Looking at this example of 572 divided by 40, there are three steps to the final decimal answer. The first digit in the quotient is 1. Multiply 1 by 40 and the product is 40. Subtract 40 from 57 and the answer is 17.

How to divide using a calculator? ›

If you're using a physical calculator, the division key is likely "÷." For computer calculators, the division key is probably "/." Divide in a series by pressing "÷" or "/" followed by a number. For example, if your calculator says "2 ÷ 1," hit "÷," "2," and then "=" to get a final answer of "1."

How many times does 60 go into 300? ›

300 divided by 60 is 5.

What is 300 divided by half? ›

Answer and Explanation:

Half of 300 is 150. Half of any number is that number divided by two.

How to calculate 50 of 300? ›

50% of 300 is 150.

The first step to finding the value of a percentage that is a factor of 100 is to divide 100 by the percentage number. Next, we divide 300 by 2 to get the answer.

How do you work out 6% of 300? ›

6% of 300 is 18.

We then place the products on either side of an equal sign. When we divide both sides of the equation are divided by 100, we find the value of x, which is the answer to the percentage question.

How to work out 300 divided by 5? ›

300 divided by 5 is 60. If we drop one zero from 300, it becomes 30. We then divide 30 by 5, which we know is 6. Now, we can add a zero to 6 because the real problem is 300 divided by 5, so our answer is 60.

How do you calculate divide? ›

Division Math Formula

The four important terms used in the division operation are dividend, divisor, quotient and remainder. The formula to calculate the division of two numbers is: Dividend ÷ Divisor = Quotient + Remainder. The remainder is the leftover number in the division operation.

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