We divide 609644 by 3
Our goal is to divide 609644 by 3.

Advancing to step 1:
6 divided by 3 is 2 with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 6 away from 6, we end up with 0.
Grab the next digit (0) from the dividend, add it to 0, then carry on: 0 / 3

Advancing to step 2:
3 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 20.0
Deduct 0 from 0 and we're left with 0.
Fetch the next digit (9) from the dividend, attach it to 0 and continue: 9 / 3

Let's proceed to step 3:
3 goes into 9 3 times with a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 203.0
If we take 9 away from 9, we end up with 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 3

Moving on to step 4:
3 goes into 6 2 times with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 2032.0
If we take 6 away from 6, we end up with 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 3

Step 5:
4 divided by 3 is 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 20321.0
Subtracting 3 from 4 leaves us with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 3

Advancing to step 6:
When dividing 14 by 3, we get 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 203214.0
If we take 12 away from 14, 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.
Write down 6 as next digit of the result. 
Result so far: 203214.6
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
When dividing 20 by 3, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 203214.66
Subtracting 18 from 20 leaves us 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 quotient of the division is 203214.66, and the remainder is 0.002.