971675 ÷ 41 
We want to figure out the number of times 971675 can be divided by 41.

On to step 1:
If we divide 9 by 41, we get 0 and a remainder of 9.
Write down 0 as next digit of the result. 
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:
The number 41 fits into 97 2 times, leaving a remainder of 15.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 82 from 97, we get 15.
Append the next digit (1) from the dividend to 15 and continue with: 151 / 41

Moving on to step 3:
If we divide 151 by 41, we get 3 and a remainder of 28.
Use 3 as the next digit of our solution. 
Result so far: 23.0
If we subtract 123 from 151, we get 28.
Append the next digit (6) from the dividend to 28 and continue with: 286 / 41

Step 4:
286 divided by 41 is 6 with a remainder of 40.
Record the quotient 6 as the next digit in the result. 
Result so far: 236.0
Deduct 246 from 286 and we're left with 40.
Grab the next digit (7) from the dividend, add it to 40, then carry on: 407 / 41

On to step 5:
407 divided by 41 is 9 with a remainder of 38.
Write down 9 as next digit of the result. 
Result so far: 2369.0
If we subtract 369 from 407, we get 38.
Fetch the next digit (5) from the dividend, attach it to 38 and continue: 385 / 41

Step 6:
The number 41 fits into 385 9 times, leaving a remainder of 16.
Write down 9 as next digit of the result. 
Result so far: 23699.0
Subtract 369 from 385 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 7:
The number 41 fits into 160 3 times, leaving a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 23699.3
Deduct 123 from 160 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 8:
41 can be fit into 370 9 times, resulting in a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 23699.39
The remainder is 1 after subtracting 369 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 9:
If we divide 10 by 41, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 23699.39
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
100 divided by 41 is 2 with a remainder of 18.
The next digit of our result is 2. 
Result so far: 23699.3902
Deduct 82 from 100 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 11:
180 divided by 41 is 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 23699.39024
Deduct 164 from 180 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 12:
If we divide 160 by 41, we get 3 and a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 23699.390243
Subtract 123 from 160 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 13:
41 can be fit into 370 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 23699.3902439
Subtracting 369 from 370 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 14:
The number 41 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 23699.3902439
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 23699.3902439 and a remainder of 1e-08.