3042319 ÷ 344 
Our goal is to divide 3042319 by 344.

Let's proceed to step 1:
344 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 344

Advancing to step 2:
344 goes into 30 0 times with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 30 and we're left with 30.
Fetch the next digit (4) from the dividend, attach it to 30 and continue: 304 / 344

Moving on to step 3:
The number 344 fits into 304 0 times, leaving a remainder of 304.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 304 and we're left with 304.
Grab the next digit (2) from the dividend, add it to 304, then carry on: 3042 / 344

Going ahead to step 4:
When dividing 3042 by 344, we get 8 with a remainder of 290.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 2752 away from 3042, we end up with 290.
Append the next digit (3) from the dividend to 290 and continue with: 2903 / 344

Advancing to step 5:
If we divide 2903 by 344, we get 8 and a remainder of 151.
Use 8 as the next digit of our solution. 
Result so far: 88.0
If we take 2752 away from 2903, we end up with 151.
Take the next digit (1) from the dividend and append it to 151, then repeat: 1511 / 344

Step 6:
When dividing 1511 by 344, we get 4 with a remainder of 135.
The next digit of our result is 4. 
Result so far: 884.0
Subtracting 1376 from 1511 leaves us with 135.
Fetch the next digit (9) from the dividend, attach it to 135 and continue: 1359 / 344

Advancing to step 7:
When dividing 1359 by 344, we get 3 with a remainder of 327.
The next digit of our result is 3. 
Result so far: 8843.0
Subtract 1032 from 1359 to get 327.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3270, and continue the process.

Going ahead to step 8:
The number 344 fits into 3270 9 times, leaving a remainder of 174.
The next digit of our result is 9. 
Result so far: 8843.9
The remainder is 174 after subtracting 3096 from 3270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1740, and continue the process.

Advancing to step 9:
1740 divided by 344 is 5 with a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 8843.95
Deduct 1720 from 1740 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 10:
344 goes into 200 0 times with a remainder of 200.
Use 0 as the next digit of our solution. 
Result so far: 8843.95
If we take 0 away from 200, we end up with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Advancing to step 11:
When dividing 2000 by 344, we get 5 with a remainder of 280.
Put 5 as the next digit of the answer. 
Result so far: 8843.9505
Deduct 1720 from 2000 and we're left with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

On to step 12:
344 can be fit into 2800 8 times, resulting in a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 8843.95058
If we take 2752 away from 2800, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 13:
344 can be fit into 480 1 times, resulting in a remainder of 136.
The number 1 becomes the next digit in our result. 
Result so far: 8843.950581
Deduct 344 from 480 and we're left with 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

Let's proceed to step 14:
The number 344 fits into 1360 3 times, leaving a remainder of 328.
The next digit of our result is 3. 
Result so far: 8843.9505813
Subtract 1032 from 1360 to get 328.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3280, and continue the process.

On to step 15:
3280 divided by 344 is 9 with a remainder of 184.
Use 9 as the next digit of our solution. 
Result so far: 8843.95058139
Deduct 3096 from 3280 and we're left with 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

In conclusion, the division gives 8843.95058139 with a balance of 1.84e-07.