Let's divide 8914 by 3
Our goal is to divide 8914 by 3.

Moving on to step 1:
The number 3 fits into 8 2 times, leaving a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 6 from 8, we get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 3

Moving on to step 2:
When dividing 29 by 3, we get 9 with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 29.0
The remainder is 2 after subtracting 27 from 29.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 3

Step 3:
3 goes into 21 7 times with a remainder of 0.
The next digit of our result is 7. 
Result so far: 297.0
The remainder is 0 after subtracting 21 from 21.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 3

Advancing to step 4:
If we divide 4 by 3, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 2971.0
The remainder is 1 after subtracting 3 from 4.
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 5:
When dividing 10 by 3, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 2971.3
If we take 9 away from 10, we end up 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.

Moving on to step 6:
If we divide 10 by 3, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 2971.33
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.

The final result is 2971.33 with a remainder of 0.001.