41408191 ÷ 971 
Let's see how many times 971 fits into 41408191.

On to step 1:
4 divided by 971 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 971

Let's proceed to step 2:
971 can be fit into 41 0 times, resulting in a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Bring next digit (4) of the dividend behind the 41 and repeat the process: 414 / 971

Let's proceed to step 3:
971 goes into 414 0 times with a remainder of 414.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 414, we end up with 414.
Grab the next digit (0) from the dividend, add it to 414, then carry on: 4140 / 971

Going ahead to step 4:
971 can be fit into 4140 4 times, resulting in a remainder of 256.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 3884 from 4140 and we're left with 256.
Include the next digit (8) from the dividend after 256, then repeat: 2568 / 971

Advancing to step 5:
2568 divided by 971 is 2 with a remainder of 626.
Use 2 as the next digit of our solution. 
Result so far: 42.0
If we subtract 1942 from 2568, we get 626.
Bring next digit (1) of the dividend behind the 626 and repeat the process: 6261 / 971

Moving on to step 6:
6261 divided by 971 is 6 with a remainder of 435.
Use 6 as the next digit of our solution. 
Result so far: 426.0
If we take 5826 away from 6261, we end up with 435.
Grab the next digit (9) from the dividend, add it to 435, then carry on: 4359 / 971

Advancing to step 7:
971 goes into 4359 4 times with a remainder of 475.
Put 4 as the next digit of the answer. 
Result so far: 4264.0
Deduct 3884 from 4359 and we're left with 475.
Fetch the next digit (1) from the dividend, attach it to 475 and continue: 4751 / 971

Step 8:
971 can be fit into 4751 4 times, resulting in a remainder of 867.
The number 4 becomes the next digit in our result. 
Result so far: 42644.0
The remainder is 867 after subtracting 3884 from 4751.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8670, and continue the process.

On to step 9:
If we divide 8670 by 971, we get 8 and a remainder of 902.
The next digit of our result is 8. 
Result so far: 42644.8
The remainder is 902 after subtracting 7768 from 8670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9020, and continue the process.

On to step 10:
If we divide 9020 by 971, we get 9 and a remainder of 281.
Use 9 as the next digit of our solution. 
Result so far: 42644.89
Subtracting 8739 from 9020 leaves us with 281.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2810, and continue the process.

Going ahead to step 11:
If we divide 2810 by 971, we get 2 and a remainder of 868.
Put 2 as the next digit of the answer. 
Result so far: 42644.892
Subtract 1942 from 2810 to get 868.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8680, and continue the process.

Advancing to step 12:
8680 divided by 971 is 8 with a remainder of 912.
The next digit of our result is 8. 
Result so far: 42644.8928
The remainder is 912 after subtracting 7768 from 8680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9120, and continue the process.

On to step 13:
971 can be fit into 9120 9 times, resulting in a remainder of 381.
Write down 9 as next digit of the result. 
Result so far: 42644.89289
If we take 8739 away from 9120, we end up with 381.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3810, and continue the process.

Going ahead to step 14:
971 goes into 3810 3 times with a remainder of 897.
Use 3 as the next digit of our solution. 
Result so far: 42644.892893
If we subtract 2913 from 3810, we get 897.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8970, and continue the process.

Advancing to step 15:
The number 971 fits into 8970 9 times, leaving a remainder of 231.
Put 9 as the next digit of the answer. 
Result so far: 42644.8928939
Subtracting 8739 from 8970 leaves us with 231.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2310, and continue the process.

Let's proceed to step 16:
If we divide 2310 by 971, we get 2 and a remainder of 368.
Put 2 as the next digit of the answer. 
Result so far: 42644.89289392
Deduct 1942 from 2310 and we're left with 368.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3680, and continue the process.

The final result is 42644.89289392 with a remainder of 3.68e-07.