We divide 105841 by 5
We're looking to find how many times 5 goes into 105841.

Going ahead to step 1:
If we divide 1 by 5, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 5

Let's proceed to step 2:
5 goes into 10 2 times with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 10 from 10, we get 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 5

On to step 3:
If we divide 5 by 5, we get 1 and a remainder of 0.
The next digit of our result is 1. 
Result so far: 21.0
If we subtract 5 from 5, we get 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 5

On to step 4:
The number 5 fits into 8 1 times, leaving a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 211.0
If we take 5 away from 8, we end up with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 5

On to step 5:
34 divided by 5 is 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 2116.0
Subtracting 30 from 34 leaves us with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 5

On to step 6:
41 divided by 5 is 8 with a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 21168.0
Subtracting 40 from 41 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.

On to step 7:
The number 5 fits into 10 2 times, leaving a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 21168.2
The remainder is 0 after subtracting 10 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
5 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 21168.2
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
5 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 21168.2
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 21168.2 and a remainder of 0.0.