We divide 579666 by 44
Our goal is to divide 579666 by 44.

Going ahead to step 1:
The number 44 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 44

Step 2:
The number 44 fits into 57 1 times, leaving a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 44 from 57, we get 13.
Take the next digit (9) from the dividend and append it to 13, then repeat: 139 / 44

Step 3:
44 can be fit into 139 3 times, resulting in a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
The remainder is 7 after subtracting 132 from 139.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 44

Advancing to step 4:
44 can be fit into 76 1 times, resulting in a remainder of 32.
The next digit of our result is 1. 
Result so far: 131.0
Subtract 44 from 76 to get 32.
Fetch the next digit (6) from the dividend, attach it to 32 and continue: 326 / 44

Moving on to step 5:
44 goes into 326 7 times with a remainder of 18.
Use 7 as the next digit of our solution. 
Result so far: 1317.0
Deduct 308 from 326 and we're left with 18.
Include the next digit (6) from the dividend after 18, then repeat: 186 / 44

Moving on to step 6:
If we divide 186 by 44, we get 4 and a remainder of 10.
The next digit of our result is 4. 
Result so far: 13174.0
If we take 176 away from 186, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
If we divide 100 by 44, we get 2 and a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 13174.2
The remainder is 12 after subtracting 88 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
The number 44 fits into 120 2 times, leaving a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 13174.22
The remainder is 32 after subtracting 88 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 13174.22 and a remainder of 0.032.