We're dividing 344044 by 42 
We want to figure out the number of times 344044 can be divided by 42.

On to step 1:
3 divided by 42 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 42

Step 2:
42 goes into 34 0 times with a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Fetch the next digit (4) from the dividend, attach it to 34 and continue: 344 / 42

Moving on to step 3:
If we divide 344 by 42, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 336 from 344 leaves us with 8.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 42

Going ahead to step 4:
42 goes into 80 1 times with a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 81.0
Subtracting 42 from 80 leaves us with 38.
Fetch the next digit (4) from the dividend, attach it to 38 and continue: 384 / 42

Moving on to step 5:
42 can be fit into 384 9 times, resulting in a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 819.0
Subtract 378 from 384 to get 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 42

Moving on to step 6:
The number 42 fits into 64 1 times, leaving a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 8191.0
If we take 42 away from 64, we end up 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.

Going ahead to step 7:
If we divide 220 by 42, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 8191.5
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.

On to step 8:
100 divided by 42 is 2 with a remainder of 16.
The next digit of our result is 2. 
Result so far: 8191.52
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.

Going ahead to step 9:
If we divide 160 by 42, we get 3 and a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 8191.523
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.

Going ahead to step 10:
42 can be fit into 340 8 times, resulting in a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 8191.5238
If we subtract 336 from 340, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 11:
42 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 8191.5238
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.

Let's proceed to step 12:
42 goes into 400 9 times with a remainder of 22.
Use 9 as the next digit of our solution. 
Result so far: 8191.523809
Subtract 378 from 400 to 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.

Moving on to step 13:
42 can be fit into 220 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 8191.5238095
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.

Step 14:
When dividing 100 by 42, we get 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 8191.52380952
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.

In conclusion, the division gives 8191.52380952 with a balance of 1.6e-08.