41610841 ÷ 968 
Our goal is to divide 41610841 by 968.

Step 1:
4 divided by 968 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 968

Moving on to step 2:
968 goes into 41 0 times with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Fetch the next digit (6) from the dividend, attach it to 41 and continue: 416 / 968

Advancing to step 3:
968 can be fit into 416 0 times, resulting in a remainder of 416.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 416, we get 416.
Grab the next digit (1) from the dividend, add it to 416, then carry on: 4161 / 968

On to step 4:
If we divide 4161 by 968, we get 4 and a remainder of 289.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 3872 from 4161 and we're left with 289.
Grab the next digit (0) from the dividend, add it to 289, then carry on: 2890 / 968

Advancing to step 5:
2890 divided by 968 is 2 with a remainder of 954.
The next digit of our result is 2. 
Result so far: 42.0
If we subtract 1936 from 2890, we get 954.
Append the next digit (8) from the dividend to 954 and continue with: 9548 / 968

Going ahead to step 6:
If we divide 9548 by 968, we get 9 and a remainder of 836.
Record the quotient 9 as the next digit in the result. 
Result so far: 429.0
If we subtract 8712 from 9548, we get 836.
Grab the next digit (4) from the dividend, add it to 836, then carry on: 8364 / 968

Let's proceed to step 7:
When dividing 8364 by 968, we get 8 with a remainder of 620.
Write down 8 as next digit of the result. 
Result so far: 4298.0
Deduct 7744 from 8364 and we're left with 620.
Append the next digit (1) from the dividend to 620 and continue with: 6201 / 968

On to step 8:
When dividing 6201 by 968, we get 6 with a remainder of 393.
Write down 6 as next digit of the result. 
Result so far: 42986.0
If we take 5808 away from 6201, we end up with 393.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3930, and continue the process.

Advancing to step 9:
3930 divided by 968 is 4 with a remainder of 58.
Use 4 as the next digit of our solution. 
Result so far: 42986.4
Subtracting 3872 from 3930 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 10:
When dividing 580 by 968, we get 0 with a remainder of 580.
Put 0 as the next digit of the answer. 
Result so far: 42986.4
If we subtract 0 from 580, we get 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5800, and continue the process.

Step 11:
If we divide 5800 by 968, we get 5 and a remainder of 960.
Write down 5 as next digit of the result. 
Result so far: 42986.405
Subtract 4840 from 5800 to get 960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9600, and continue the process.

On to step 12:
968 can be fit into 9600 9 times, resulting in a remainder of 888.
Write down 9 as next digit of the result. 
Result so far: 42986.4059
Deduct 8712 from 9600 and we're left with 888.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8880, and continue the process.

Let's proceed to step 13:
968 can be fit into 8880 9 times, resulting in a remainder of 168.
The next digit of our result is 9. 
Result so far: 42986.40599
Deduct 8712 from 8880 and we're left with 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

The final outcome is 42986.40599, with a leftover of 0.000168.