Let's divide 214400 by 3
Our goal is to divide 214400 by 3.

Moving on to step 1:
The number 3 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 3

Step 2:
If we divide 21 by 3, we get 7 and a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 21 from 21, we get 0.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 3

Moving on to step 3:
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: 71.0
If we subtract 3 from 4, we get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 3

Step 4:
When dividing 14 by 3, we get 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 714.0
Subtracting 12 from 14 leaves us with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 3

Advancing to step 5:
When dividing 20 by 3, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 7146.0
If we subtract 18 from 20, we get 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 3

Advancing to step 6:
3 goes into 20 6 times with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 71466.0
If we take 18 away from 20, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
If we divide 20 by 3, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 71466.6
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
20 divided by 3 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 71466.66
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 71466.66 with a remainder of 0.002.