We divide 174304 by 42
We want to figure out the number of times 174304 can be divided by 42.

Advancing to step 1:
The number 42 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 42

Moving on to step 2:
If we divide 17 by 42, we get 0 and a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Append the next digit (4) from the dividend to 17 and continue with: 174 / 42

On to step 3:
The number 42 fits into 174 4 times, leaving a remainder of 6.
The next digit of our result is 4. 
Result so far: 4.0
If we take 168 away from 174, we end up with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 42

Let's proceed to step 4:
42 can be fit into 63 1 times, resulting in a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 41.0
If we subtract 42 from 63, we get 21.
Fetch the next digit (0) from the dividend, attach it to 21 and continue: 210 / 42

On to step 5:
If we divide 210 by 42, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 415.0
Subtract 210 from 210 to get 0.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 42

Going ahead to step 6:
42 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 4150.0
Subtracting 0 from 4 leaves us 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.

Step 7:
42 goes into 40 0 times with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 4150.0
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.

On to step 8:
400 divided by 42 is 9 with a remainder of 22.
The next digit of our result is 9. 
Result so far: 4150.09
Deduct 378 from 400 and we're left 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.

Let's proceed to step 9:
42 goes into 220 5 times with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 4150.095
If we take 210 away from 220, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 10:
100 divided by 42 is 2 with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 4150.0952
Subtract 84 from 100 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.

Going ahead to step 11:
42 can be fit into 160 3 times, resulting in a remainder of 34.
The next digit of our result is 3. 
Result so far: 4150.09523
Subtract 126 from 160 to 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.

Step 12:
42 can be fit into 340 8 times, resulting in a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 4150.095238
The remainder is 4 after subtracting 336 from 340.
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 13:
42 can be fit into 40 0 times, resulting in a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 4150.095238
Deduct 0 from 40 and we're left with 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 14:
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: 4150.09523809
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.

After the division, we end up with 4150.09523809 and a remainder of 2.2e-08.