Let's divide 105409 by 42
Let's see how many times 42 fits into 105409.

Moving on to step 1:
When dividing 1 by 42, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 42

On to step 2:
42 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 42

Step 3:
The number 42 fits into 105 2 times, leaving a remainder of 21.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 21 after subtracting 84 from 105.
Bring next digit (4) of the dividend behind the 21 and repeat the process: 214 / 42

Let's proceed to step 4:
42 goes into 214 5 times with a remainder of 4.
The next digit of our result is 5. 
Result so far: 25.0
Subtract 210 from 214 to get 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 42

Moving on to step 5:
42 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 250.0
Subtracting 0 from 40 leaves us with 40.
Bring next digit (9) of the dividend behind the 40 and repeat the process: 409 / 42

Let's proceed to step 6:
When dividing 409 by 42, we get 9 with a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 2509.0
If we take 378 away from 409, 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.

Let's proceed to step 7:
When dividing 310 by 42, we get 7 with a remainder of 16.
The next digit of our result is 7. 
Result so far: 2509.7
Subtracting 294 from 310 leaves us 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.

Going ahead to step 8:
If we divide 160 by 42, we get 3 and a remainder of 34.
The next digit of our result is 3. 
Result so far: 2509.73
If we subtract 126 from 160, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 9:
340 divided by 42 is 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 2509.738
If we take 336 away from 340, 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.

On to step 10:
If we divide 40 by 42, we get 0 and a remainder of 40.
The next digit of our result is 0. 
Result so far: 2509.738
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 11:
42 can be fit into 400 9 times, resulting in a remainder of 22.
The next digit of our result is 9. 
Result so far: 2509.73809
If we subtract 378 from 400, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 12:
When dividing 220 by 42, we get 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 2509.738095
The remainder is 10 after subtracting 210 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
42 goes into 100 2 times with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 2509.7380952
Subtracting 84 from 100 leaves us 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.

On to step 14:
42 can be fit into 160 3 times, resulting in a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 2509.73809523
If we take 126 away from 160, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final result is 2509.73809523 with a remainder of 3.4e-08.