577999 ÷ 41 
We're looking to find how many times 41 goes into 577999.

Moving on to step 1:
41 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 41

On to step 2:
The number 41 fits into 57 1 times, leaving a remainder of 16.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 41 from 57 and we're left with 16.
Fetch the next digit (7) from the dividend, attach it to 16 and continue: 167 / 41

Let's proceed to step 3:
41 goes into 167 4 times with a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
If we take 164 away from 167, we end up with 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 41

Going ahead to step 4:
41 can be fit into 39 0 times, resulting in a remainder of 39.
Record the quotient 0 as the next digit in the result. 
Result so far: 140.0
If we subtract 0 from 39, we get 39.
Append the next digit (9) from the dividend to 39 and continue with: 399 / 41

Step 5:
The number 41 fits into 399 9 times, leaving a remainder of 30.
Put 9 as the next digit of the answer. 
Result so far: 1409.0
The remainder is 30 after subtracting 369 from 399.
Include the next digit (9) from the dividend after 30, then repeat: 309 / 41

Step 6:
309 divided by 41 is 7 with a remainder of 22.
The next digit of our result is 7. 
Result so far: 14097.0
If we take 287 away from 309, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 7:
If we divide 220 by 41, we get 5 and a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 14097.5
The remainder is 15 after subtracting 205 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
If we divide 150 by 41, we get 3 and a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 14097.53
Subtracting 123 from 150 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 9:
41 can be fit into 270 6 times, resulting in a remainder of 24.
The next digit of our result is 6. 
Result so far: 14097.536
Subtracting 246 from 270 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 10:
41 can be fit into 240 5 times, resulting in a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 14097.5365
Subtract 205 from 240 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 11:
350 divided by 41 is 8 with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 14097.53658
Subtracting 328 from 350 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 12:
If we divide 220 by 41, we get 5 and a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 14097.536585
Subtracting 205 from 220 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 13:
41 can be fit into 150 3 times, resulting in a remainder of 27.
The next digit of our result is 3. 
Result so far: 14097.5365853
If we subtract 123 from 150, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 14:
If we divide 270 by 41, we get 6 and a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 14097.53658536
The remainder is 24 after subtracting 246 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

After the division, we end up with 14097.53658536 and a remainder of 2.4e-08.