We're dividing 174683 by 42 
Our goal is to divide 174683 by 42.

Let's proceed 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 subtract 0 from 1, we get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 42

Going ahead to step 2:
17 divided by 42 is 0 with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Fetch the next digit (4) from the dividend, attach it to 17 and continue: 174 / 42

Step 3:
42 goes into 174 4 times with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 6 after subtracting 168 from 174.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 42

Let's proceed to step 4:
42 goes into 66 1 times with a remainder of 24.
Record the quotient 1 as the next digit in the result. 
Result so far: 41.0
If we take 42 away from 66, we end up with 24.
Include the next digit (8) from the dividend after 24, then repeat: 248 / 42

Going ahead to step 5:
If we divide 248 by 42, we get 5 and a remainder of 38.
Use 5 as the next digit of our solution. 
Result so far: 415.0
Deduct 210 from 248 and we're left with 38.
Take the next digit (3) from the dividend and append it to 38, then repeat: 383 / 42

Advancing to step 6:
The number 42 fits into 383 9 times, leaving a remainder of 5.
The next digit of our result is 9. 
Result so far: 4159.0
If we take 378 away from 383, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
50 divided by 42 is 1 with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 4159.1
If we take 42 away from 50, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
42 can be fit into 80 1 times, resulting in a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 4159.11
The remainder is 38 after subtracting 42 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

After the division, we end up with 4159.11 and a remainder of 0.038.