We divide 64669 by 3
We're looking to find how many times 3 goes into 64669.

On to step 1:
3 can be fit into 6 2 times, resulting in a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 6 from 6 and we're left with 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 3

Moving on to step 2:
If we divide 4 by 3, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 21.0
Deduct 3 from 4 and we're left with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 3

Going ahead to step 3:
16 divided by 3 is 5 with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 215.0
The remainder is 1 after subtracting 15 from 16.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 3

Step 4:
3 goes into 16 5 times with a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 2155.0
If we subtract 15 from 16, we get 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 3

On to step 5:
3 can be fit into 19 6 times, resulting in a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 21556.0
Subtracting 18 from 19 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.

Advancing to step 6:
If we divide 10 by 3, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 21556.3
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
10 divided by 3 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 21556.33
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.

Our division results in 21556.33 with a remaining 0.001.