Respuesta :
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, 10, 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 10 divided by 3 and explain each of them so you understand exactly what is going on.
10 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:
__
3| 10
Step 2
We can work out that the divisor (3) goes into the first digit of the dividend (1), 0 time(s). Now we know that, we can put 0 at the top:
_0_
3 | 10
Step 3
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:
_0_
3 | 10
0
Step 4
Next, we will subtract the result from the previous step from the second digit of the dividend (1 - 0 = 1) and write that answer below:
___
3 | 10
- 0
__
1
Step 5
Move the second digit of the dividend (0) down like so:
__0_
3 | 10
- 0
-----------
10
Step 6
The divisor (3) goes into the bottom number (10), 3 time(s), so we can put 3 on top:
__03_
3 | 10
- 0
___
10
Step 7
If we multiply the divisor by the result in the previous step (3 x 3 = 9), we can now add that answer below the dividend:
_03_
3 | 10
- 0
__
10
9
Step 8
Next, we will subtract the result from the previous step from the third digit of the dividend (10 - 9 = 1) and write that answer below:
__03_
3 | 10
- 0
__
10
-9
_
1
So, what is the answer to 10 divided by 3?
Your answer is the top number, and any remainder will be the bottom number. So, for 10 divided by 3, the final solution is:
3
- Remainder 1
Extra calculations for you:
- Using a calculator, if you typed in 10 divided by 3, you'd get 3.3333.
- You could also express 10/3 as a mixed fraction: 3 1/3
- If you look at the mixed fraction 3 1/3, you'll see that the numerator is the same as the remainder (1), the denominator is our original divisor (3), and the whole number is our final answer (3).
