975257 ÷ 41 
We're looking to find how many times 41 goes into 975257.

Going ahead to step 1:
If we divide 9 by 41, we get 0 and a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 41

Going ahead to step 2:
41 can be fit into 97 2 times, resulting in a remainder of 15.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtracting 82 from 97 leaves us with 15.
Take the next digit (5) from the dividend and append it to 15, then repeat: 155 / 41

Let's proceed to step 3:
41 can be fit into 155 3 times, resulting in a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 23.0
The remainder is 32 after subtracting 123 from 155.
Include the next digit (2) from the dividend after 32, then repeat: 322 / 41

Advancing to step 4:
When dividing 322 by 41, we get 7 with a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 237.0
Deduct 287 from 322 and we're left with 35.
Fetch the next digit (5) from the dividend, attach it to 35 and continue: 355 / 41

Step 5:
The number 41 fits into 355 8 times, leaving a remainder of 27.
Record the quotient 8 as the next digit in the result. 
Result so far: 2378.0
Subtracting 328 from 355 leaves us with 27.
Grab the next digit (7) from the dividend, add it to 27, then carry on: 277 / 41

Advancing to step 6:
If we divide 277 by 41, we get 6 and a remainder of 31.
The number 6 becomes the next digit in our result. 
Result so far: 23786.0
If we take 246 away from 277, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 7:
If we divide 310 by 41, we get 7 and a remainder of 23.
The next digit of our result is 7. 
Result so far: 23786.7
Subtracting 287 from 310 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 8:
41 goes into 230 5 times with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 23786.75
Subtracting 205 from 230 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
The number 41 fits into 250 6 times, leaving a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 23786.756
Subtracting 246 from 250 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
40 divided by 41 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 23786.756
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 11:
The number 41 fits into 400 9 times, leaving a remainder of 31.
The next digit of our result is 9. 
Result so far: 23786.75609
The remainder is 31 after subtracting 369 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 12:
When dividing 310 by 41, we get 7 with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 23786.756097
Subtract 287 from 310 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 13:
41 goes into 230 5 times with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 23786.7560975
The remainder is 25 after subtracting 205 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 14:
When dividing 250 by 41, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 23786.75609756
If we take 246 away from 250, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 23786.75609756 and a remainder of 4e-09.