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.
<h2>10 divided by 3 step-by-step guide</h2><h3>Step 1</h3>
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
<h3>Step 2</h3>
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
<h3>Step 3</h3>
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
<h3>Step 4</h3>
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
<h3>Step 5</h3>
Move the second digit of the dividend (0) down like so:
__0_
3 | 10
- 0
-----------
10
<h3>Step 6</h3>
The divisor (3) goes into the bottom number (10), 3 time(s), so we can put 3 on top:
__03_
3 | 10
- 0
___
10
<h3>Step 7</h3>
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
<h3>Step 8</h3>
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
<h3>So, what is the answer to 10 divided by 3?</h3>
Your answer is the top number, and any remainder will be the bottom number. So, for 10 divided by 3, the final solution is:
<h2>3
</h2><h2>
- Remainder 1</h2><h2>Extra calculations for you:</h2>
- 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).
. Slope-y-intercept form is of the form 
. Rearranging 
. Divide by two, we get 
, which is of that form.