We're dividing 314566 by 3 
Let's see how many times 3 fits into 314566.

Moving on to step 1:
3 divided by 3 is 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 3 from 3 to get 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 3

Advancing to step 2:
1 divided by 3 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 10.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 3

Going ahead to step 3:
3 can be fit into 14 4 times, resulting in a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 104.0
Subtract 12 from 14 to get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 3

Let's proceed to step 4:
3 can be fit into 25 8 times, resulting in a remainder of 1.
The next digit of our result is 8. 
Result so far: 1048.0
If we take 24 away from 25, we end up with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 3

Moving on to step 5:
If we divide 16 by 3, we get 5 and a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 10485.0
If we subtract 15 from 16, we get 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 3

Going ahead to step 6:
3 can be fit into 16 5 times, resulting in a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 104855.0
Deduct 15 from 16 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
3 goes into 10 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 104855.3
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 104855.33
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 104855.33 with a remaining 0.001.