Let's divide 105367 by 42
Let's see how many times 42 fits into 105367.

Moving on to step 1:
1 divided by 42 is 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.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 42

Let's proceed to step 2:
The number 42 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 42

On to step 3:
When dividing 105 by 42, we get 2 with a remainder of 21.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 21 after subtracting 84 from 105.
Grab the next digit (3) from the dividend, add it to 21, then carry on: 213 / 42

Let's proceed to step 4:
213 divided by 42 is 5 with a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
If we take 210 away from 213, we end up with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 42

Advancing to step 5:
42 can be fit into 36 0 times, resulting in a remainder of 36.
The next digit of our result is 0. 
Result so far: 250.0
If we take 0 away from 36, we end up with 36.
Take the next digit (7) from the dividend and append it to 36, then repeat: 367 / 42

Advancing to step 6:
367 divided by 42 is 8 with a remainder of 31.
Record the quotient 8 as the next digit in the result. 
Result so far: 2508.0
Subtract 336 from 367 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 7:
42 goes into 310 7 times with a remainder of 16.
Record the quotient 7 as the next digit in the result. 
Result so far: 2508.7
Subtract 294 from 310 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.

Step 8:
42 can be fit into 160 3 times, resulting in a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 2508.73
Deduct 126 from 160 and we're left 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.

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: 2508.738
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.

Moving on to step 10:
40 divided by 42 is 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 2508.738
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 11:
42 goes into 400 9 times with a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 2508.73809
Subtracting 378 from 400 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 12:
When dividing 220 by 42, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 2508.738095
If we subtract 210 from 220, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 13:
If we divide 100 by 42, we get 2 and a remainder of 16.
The next digit of our result is 2. 
Result so far: 2508.7380952
Deduct 84 from 100 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.

Let's proceed to step 14:
42 goes into 160 3 times with a remainder of 34.
The next digit of our result is 3. 
Result so far: 2508.73809523
Deduct 126 from 160 and we're left 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.

Our division results in 2508.73809523 with a remaining 3.4e-08.