What is 360 Divided by 3 Using Long Division? (2024)

Confused by long division? By the end of this article you'll be able to divide 360 by 3 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 360 divided by 3 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, 360, is called the dividend.
  • The second number, 3 is called the divisor.

What we'll do here is break down each step of the long division process for 360 divided by 3 and explain each of them so you understand exactly what is going on.

360 divided by 3 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:

3360

Step 2

We can work out that the divisor (3) goes into the first digit of the dividend (3), 1 time(s). Now we know that, we can put 1 at the top:

1
3360

Step 3

If we multiply the divisor by the result in the previous step (3 x 1 = 3), we can now add that answer below the dividend:

1
3360
3

Step 4

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

1
3360
-3
0

Step 5

Move the second digit of the dividend (6) down like so:

1
3360
-3
6

Step 6

The divisor (3) goes into the bottom number (6), 2 time(s), so we can put 2 on top:

12
3360
-3
6

Step 7

If we multiply the divisor by the result in the previous step (3 x 2 = 6), we can now add that answer below the dividend:

12
3360
-3
6
6

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (6 - 6 = 0) and write that answer below:

12
3360
-3
6
-6
0

Step 9

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

12
3360
-3
6
-6
0

Step 10

The divisor (3) goes into the bottom number (0), 0 time(s), so we can put 0 on top:

120
3360
-3
6
-6
0

Step 11

If we multiply the divisor by the result in the previous step (3 x 0 = 0), we can now add that answer below the dividend:

120
3360
-3
6
-6
0
0

Step 12

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

120
3360
-3
6
-6
0
-0
0

So, what is the answer to 360 divided by 3?

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 360 divided by 3, the final solution is:

120

Remainder 0

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Extra calculations for you

Now you've learned the long division approach to 360 divided by 3, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 360 divided by 3, you'd get 120.
  • You could also express 360/3 as a mixed fraction: 120 0/3
  • If you look at the mixed fraction 120 0/3, you'll see that the numerator is the same as the remainder (0), the denominator is our original divisor (3), and the whole number is our final answer (120).

Long Division Calculator

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What is 360 Divided by 3 Using Long Division? (2024)

FAQs

What is 360 divisible by 3? ›

2In 360, the unit's digit is 0, so the number is even. Hence, 360 is divisible by 2.
3The sum of the digits 3 + 6 + 0 = 9. As 9 is divisible by 3. So, 360 is divisible by 3.
4The number formed by the last two digits is 60. As 60 is divisible by 4. So, 360 is divisible by 4.
6 more rows
Jul 6, 2022

What is 360 divided into 3 parts? ›

How to Find the Factors of 360?
  • 360 ÷ 1 = 360.
  • 360 ÷ 2 = 180.
  • 360 ÷ 3 = 120.
  • 360 ÷ 4 = 90.
  • 360 ÷ 5 = 72.
  • 360 ÷ 6 = 60.
  • 360 ÷ 8 = 45.
  • 360 ÷ 9 = 40.

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

How many times can you divide 360? ›

In fact, 360 has 24 factors; 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 and 360 itself. We could split a circle equally into any of these numbers without having to use decimals, fractions, or remaining bits.

What is the solution to 360 3? ›

Divide 360 by 3 to get 120.

What is the divisibility rule for 360? ›

In mathematics

360 is divisible by the number of its divisors (24), and it is the smallest number divisible by every natural number from 1 to 10, except 7. Furthermore, one of the divisors of 360 is 72, which is the number of primes below it.

Why do we divide by 360? ›

If we were to divide a circle into anything other than 360 deg we would have to change our calendars too - the ancient Greeks worked out that there were 360 days in the year, and that, therefore, we progress about the sun at one degree per day - they were quite close given that they worked on observation alone!

What is the 360 in math? ›

A 360-degree angle is called a complete angle, a full angle, or a full turn. It forms a circle around a point. A perfect example of a 360-degree angle is two hands of a clock at 12 o'clock.

What is 999999 divide by 360? ›

Therefore the value of 9,99,999/360 is 277.775.

Which numbers will divisible by 3? ›

Numbers that are divisible by 3 can be split into equal parts of 3 with no remainder, like 12 in the earlier example. Other numbers divisible by 3 include 9, 15, 18, 21, and so on.

Is 369 divisible by 3? ›

3/3=1, 6/3+2, 9/3=3. Here, it can be seen that all the three digits of the number are individually divisible by 3 making the number 369 divisible by 3 altogether. This can be applied to any number and if all the digits are not divisible by 3, the number won't be divisible by 3 as well. For example- 694.

Is 343 divisible by 3? ›

10 is not divisible by 3, hence 343 is not divisible by 3.

What is the divisible rule of 3? ›

The divisibility rule of 3 states that if the sum of digits of a number is a multiple of 3, the number will be completely divisible by 3.

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