We divide 644584 by 3
Our goal is to divide 644584 by 3.

Step 1:
3 goes into 6 2 times with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 6 from 6 and we're left with 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 3

Step 2:
When dividing 4 by 3, we get 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
If we take 3 away from 4, we end up with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 3

Step 3:
3 goes into 14 4 times with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 214.0
The remainder is 2 after subtracting 12 from 14.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 3

Moving on to step 4:
When dividing 25 by 3, we get 8 with a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 2148.0
Deduct 24 from 25 and we're left with 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 3

On to step 5:
3 goes into 18 6 times with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 21486.0
Deduct 18 from 18 and we're left with 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 3

Advancing to step 6:
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: 214861.0
Deduct 3 from 4 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.

On to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 214861.3
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.

Let's proceed to step 8:
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: 214861.33
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.

After the division, we end up with 214861.33 and a remainder of 0.001.