We look at the division of 577122 by 41 
We want to figure out the number of times 577122 can be divided by 41.

On to step 1:
41 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 41

Advancing to step 2:
When dividing 57 by 41, we get 1 with a remainder of 16.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 41 from 57 and we're left with 16.
Take the next digit (7) from the dividend and append it to 16, then repeat: 167 / 41

On to step 3:
41 can be fit into 167 4 times, resulting in a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
If we subtract 164 from 167, we get 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 41

Going ahead to step 4:
When dividing 31 by 41, we get 0 with a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 140.0
If we subtract 0 from 31, we get 31.
Append the next digit (2) from the dividend to 31 and continue with: 312 / 41

On to step 5:
41 goes into 312 7 times with a remainder of 25.
The next digit of our result is 7. 
Result so far: 1407.0
If we subtract 287 from 312, we get 25.
Fetch the next digit (2) from the dividend, attach it to 25 and continue: 252 / 41

Advancing to step 6:
The number 41 fits into 252 6 times, leaving a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 14076.0
Subtracting 246 from 252 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
41 goes into 60 1 times with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 14076.1
Subtract 41 from 60 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 8:
41 goes into 190 4 times with a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 14076.14
If we subtract 164 from 190, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 9:
If we divide 260 by 41, we get 6 and a remainder of 14.
The next digit of our result is 6. 
Result so far: 14076.146
The remainder is 14 after subtracting 246 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 10:
The number 41 fits into 140 3 times, leaving a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 14076.1463
If we subtract 123 from 140, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 11:
170 divided by 41 is 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 14076.14634
If we subtract 164 from 170, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 12:
41 goes into 60 1 times with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 14076.146341
If we subtract 41 from 60, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 13:
The number 41 fits into 190 4 times, leaving a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 14076.1463414
Subtract 164 from 190 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 14:
41 goes into 260 6 times with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 14076.14634146
Deduct 246 from 260 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 14076.14634146 and a remainder of 1.4e-08.