469804 ÷ 839 
Our goal is to divide 469804 by 839.

Going ahead to step 1:
839 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 839

Going ahead to step 2:
If we divide 46 by 839, we get 0 and a remainder of 46.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 46 after subtracting 0 from 46.
Include the next digit (9) from the dividend after 46, then repeat: 469 / 839

Advancing to step 3:
The number 839 fits into 469 0 times, leaving a remainder of 469.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 469, we get 469.
Append the next digit (8) from the dividend to 469 and continue with: 4698 / 839

Step 4:
When dividing 4698 by 839, we get 5 with a remainder of 503.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 4195 from 4698 leaves us with 503.
Bring next digit (0) of the dividend behind the 503 and repeat the process: 5030 / 839

Moving on to step 5:
839 can be fit into 5030 5 times, resulting in a remainder of 835.
Record the quotient 5 as the next digit in the result. 
Result so far: 55.0
The remainder is 835 after subtracting 4195 from 5030.
Append the next digit (4) from the dividend to 835 and continue with: 8354 / 839

On to step 6:
When dividing 8354 by 839, we get 9 with a remainder of 803.
Write down 9 as next digit of the result. 
Result so far: 559.0
Deduct 7551 from 8354 and we're left with 803.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8030, and continue the process.

Going ahead to step 7:
8030 divided by 839 is 9 with a remainder of 479.
The number 9 becomes the next digit in our result. 
Result so far: 559.9
The remainder is 479 after subtracting 7551 from 8030.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4790, and continue the process.

Going ahead to step 8:
839 goes into 4790 5 times with a remainder of 595.
The number 5 becomes the next digit in our result. 
Result so far: 559.95
Deduct 4195 from 4790 and we're left with 595.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5950, and continue the process.

Moving on to step 9:
The number 839 fits into 5950 7 times, leaving a remainder of 77.
Record the quotient 7 as the next digit in the result. 
Result so far: 559.957
Deduct 5873 from 5950 and we're left with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Going ahead to step 10:
839 can be fit into 770 0 times, resulting in a remainder of 770.
Use 0 as the next digit of our solution. 
Result so far: 559.957
Deduct 0 from 770 and we're left with 770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7700, and continue the process.

Going ahead to step 11:
839 can be fit into 7700 9 times, resulting in a remainder of 149.
The next digit of our result is 9. 
Result so far: 559.95709
The remainder is 149 after subtracting 7551 from 7700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1490, and continue the process.

Let's proceed to step 12:
1490 divided by 839 is 1 with a remainder of 651.
Record the quotient 1 as the next digit in the result. 
Result so far: 559.957091
If we subtract 839 from 1490, we get 651.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6510, and continue the process.

Step 13:
839 can be fit into 6510 7 times, resulting in a remainder of 637.
The next digit of our result is 7. 
Result so far: 559.9570917
Subtracting 5873 from 6510 leaves us with 637.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6370, and continue the process.

Going ahead to step 14:
839 can be fit into 6370 7 times, resulting in a remainder of 497.
Use 7 as the next digit of our solution. 
Result so far: 559.95709177
Subtracting 5873 from 6370 leaves us with 497.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4970, and continue the process.

In conclusion, the division gives 559.95709177 with a balance of 4.97e-07.