6838679 ÷ 576 
Our goal is to divide 6838679 by 576.

Moving on to step 1:
576 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 576

Let's proceed to step 2:
The number 576 fits into 68 0 times, leaving a remainder of 68.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 68 to get 68.
Grab the next digit (3) from the dividend, add it to 68, then carry on: 683 / 576

On to step 3:
576 can be fit into 683 1 times, resulting in a remainder of 107.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 576 from 683 leaves us with 107.
Bring next digit (8) of the dividend behind the 107 and repeat the process: 1078 / 576

Going ahead to step 4:
The number 576 fits into 1078 1 times, leaving a remainder of 502.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtracting 576 from 1078 leaves us with 502.
Take the next digit (6) from the dividend and append it to 502, then repeat: 5026 / 576

Moving on to step 5:
5026 divided by 576 is 8 with a remainder of 418.
Use 8 as the next digit of our solution. 
Result so far: 118.0
If we subtract 4608 from 5026, we get 418.
Bring next digit (7) of the dividend behind the 418 and repeat the process: 4187 / 576

On to step 6:
4187 divided by 576 is 7 with a remainder of 155.
Put 7 as the next digit of the answer. 
Result so far: 1187.0
If we take 4032 away from 4187, we end up with 155.
Take the next digit (9) from the dividend and append it to 155, then repeat: 1559 / 576

Step 7:
The number 576 fits into 1559 2 times, leaving a remainder of 407.
The number 2 becomes the next digit in our result. 
Result so far: 11872.0
The remainder is 407 after subtracting 1152 from 1559.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4070, and continue the process.

Advancing to step 8:
4070 divided by 576 is 7 with a remainder of 38.
The next digit of our result is 7. 
Result so far: 11872.7
Subtract 4032 from 4070 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 9:
The number 576 fits into 380 0 times, leaving a remainder of 380.
Put 0 as the next digit of the answer. 
Result so far: 11872.7
Subtract 0 from 380 to get 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3800, and continue the process.

Let's proceed to step 10:
3800 divided by 576 is 6 with a remainder of 344.
Write down 6 as next digit of the result. 
Result so far: 11872.706
Deduct 3456 from 3800 and we're left with 344.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3440, and continue the process.

On to step 11:
The number 576 fits into 3440 5 times, leaving a remainder of 560.
Record the quotient 5 as the next digit in the result. 
Result so far: 11872.7065
Deduct 2880 from 3440 and we're left with 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5600, and continue the process.

Step 12:
576 goes into 5600 9 times with a remainder of 416.
Use 9 as the next digit of our solution. 
Result so far: 11872.70659
The remainder is 416 after subtracting 5184 from 5600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4160, and continue the process.

Advancing to step 13:
576 can be fit into 4160 7 times, resulting in a remainder of 128.
Use 7 as the next digit of our solution. 
Result so far: 11872.706597
Subtract 4032 from 4160 to get 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

Step 14:
If we divide 1280 by 576, we get 2 and a remainder of 128.
The number 2 becomes the next digit in our result. 
Result so far: 11872.7065972
The remainder is 128 after subtracting 1152 from 1280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

Let's proceed to step 15:
When dividing 1280 by 576, we get 2 with a remainder of 128.
Use 2 as the next digit of our solution. 
Result so far: 11872.70659722
If we take 1152 away from 1280, we end up with 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

In conclusion, the division gives 11872.70659722 with a balance of 1.28e-07.