Let's divide 4556588 by 644
Our goal is to divide 4556588 by 644.

On to step 1:
When dividing 4 by 644, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 644

Let's proceed to step 2:
If we divide 45 by 644, we get 0 and a remainder of 45.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 45 to get 45.
Append the next digit (5) from the dividend to 45 and continue with: 455 / 644

On to step 3:
644 can be fit into 455 0 times, resulting in a remainder of 455.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 455 and we're left with 455.
Fetch the next digit (6) from the dividend, attach it to 455 and continue: 4556 / 644

Let's proceed to step 4:
The number 644 fits into 4556 7 times, leaving a remainder of 48.
The next digit of our result is 7. 
Result so far: 7.0
If we take 4508 away from 4556, we end up with 48.
Fetch the next digit (5) from the dividend, attach it to 48 and continue: 485 / 644

On to step 5:
When dividing 485 by 644, we get 0 with a remainder of 485.
Put 0 as the next digit of the answer. 
Result so far: 70.0
The remainder is 485 after subtracting 0 from 485.
Include the next digit (8) from the dividend after 485, then repeat: 4858 / 644

Step 6:
The number 644 fits into 4858 7 times, leaving a remainder of 350.
The number 7 becomes the next digit in our result. 
Result so far: 707.0
Subtract 4508 from 4858 to get 350.
Bring next digit (8) of the dividend behind the 350 and repeat the process: 3508 / 644

Step 7:
644 can be fit into 3508 5 times, resulting in a remainder of 288.
The number 5 becomes the next digit in our result. 
Result so far: 7075.0
Deduct 3220 from 3508 and we're left with 288.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2880, and continue the process.

Step 8:
2880 divided by 644 is 4 with a remainder of 304.
Write down 4 as next digit of the result. 
Result so far: 7075.4
Deduct 2576 from 2880 and we're left with 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

Advancing to step 9:
When dividing 3040 by 644, we get 4 with a remainder of 464.
The next digit of our result is 4. 
Result so far: 7075.44
Subtract 2576 from 3040 to get 464.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4640, and continue the process.

Our division results in 7075.44 with a remaining 0.464.