8446 divided by 3 
We want to figure out the number of times 8446 can be divided by 3.

Let's proceed to step 1:
3 goes into 8 2 times with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 6 from 8 to get 2.
Fetch the next digit (4) from the dividend, attach it to 2 and continue: 24 / 3

Going ahead to step 2:
The number 3 fits into 24 8 times, leaving a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 28.0
The remainder is 0 after subtracting 24 from 24.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 3

Step 3:
If we divide 4 by 3, we get 1 and a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 281.0
Subtracting 3 from 4 leaves us with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 3

Going ahead to step 4:
3 can be fit into 16 5 times, resulting in a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 2815.0
If we subtract 15 from 16, 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.

Going ahead to step 5:
3 goes into 10 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 2815.3
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.

Going ahead 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: 2815.33
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.

In conclusion, the division gives 2815.33 with a balance of 0.001.