257020 divided by 41 
We're looking to find how many times 41 goes into 257020.

Let's proceed to step 1:
If we divide 2 by 41, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 41

Step 2:
25 divided by 41 is 0 with a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Include the next digit (7) from the dividend after 25, then repeat: 257 / 41

Moving on to step 3:
257 divided by 41 is 6 with a remainder of 11.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 246 from 257, we get 11.
Fetch the next digit (0) from the dividend, attach it to 11 and continue: 110 / 41

Advancing to step 4:
When dividing 110 by 41, we get 2 with a remainder of 28.
The next digit of our result is 2. 
Result so far: 62.0
Subtracting 82 from 110 leaves us with 28.
Bring next digit (2) of the dividend behind the 28 and repeat the process: 282 / 41

Step 5:
The number 41 fits into 282 6 times, leaving a remainder of 36.
Record the quotient 6 as the next digit in the result. 
Result so far: 626.0
Subtract 246 from 282 to get 36.
Fetch the next digit (0) from the dividend, attach it to 36 and continue: 360 / 41

Step 6:
If we divide 360 by 41, we get 8 and a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 6268.0
If we subtract 328 from 360, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 7:
41 goes into 320 7 times with a remainder of 33.
The next digit of our result is 7. 
Result so far: 6268.7
Subtract 287 from 320 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 8:
330 divided by 41 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 6268.78
The remainder is 2 after subtracting 328 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
When dividing 20 by 41, we get 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 6268.78
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 10:
200 divided by 41 is 4 with a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 6268.7804
The remainder is 36 after subtracting 164 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 11:
When dividing 360 by 41, we get 8 with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 6268.78048
Subtracting 328 from 360 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 12:
When dividing 320 by 41, we get 7 with a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 6268.780487
If we take 287 away from 320, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 13:
When dividing 330 by 41, we get 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 6268.7804878
Deduct 328 from 330 and we're left 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.

Let's proceed to step 14:
41 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 6268.7804878
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 6268.7804878 with a remainder of 2e-08.