321514 divided by 3 
Our goal is to divide 321514 by 3.

Advancing 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
If we take 3 away from 3, we end up with 0.
Fetch the next digit (2) from the dividend, attach it to 0 and continue: 2 / 3

Let's proceed to step 2:
When dividing 2 by 3, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 2, we get 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 3

Going ahead to step 3:
The number 3 fits into 21 7 times, leaving a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 107.0
If we take 21 away from 21, we end up with 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 3

Going ahead to step 4:
If we divide 5 by 3, we get 1 and a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1071.0
If we take 3 away from 5, we end up with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 3

Let's proceed to step 5:
21 divided by 3 is 7 with a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 10717.0
If we subtract 21 from 21, we get 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 3

Moving on to step 6:
When dividing 4 by 3, we get 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 107171.0
Subtract 3 from 4 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.

Moving on to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 107171.3
Deduct 9 from 10 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.

Advancing to step 8:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 107171.33
If we subtract 9 from 10, we 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.

The final result is 107171.33 with a remainder of 0.001.