41078648 ÷ 559 
Our goal is to divide 41078648 by 559.

On to step 1:
If we divide 4 by 559, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 559

On to step 2:
559 goes into 41 0 times with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Grab the next digit (0) from the dividend, add it to 41, then carry on: 410 / 559

On to step 3:
559 goes into 410 0 times with a remainder of 410.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 410, we end up with 410.
Take the next digit (7) from the dividend and append it to 410, then repeat: 4107 / 559

Advancing to step 4:
When dividing 4107 by 559, we get 7 with a remainder of 194.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtracting 3913 from 4107 leaves us with 194.
Grab the next digit (8) from the dividend, add it to 194, then carry on: 1948 / 559

Advancing to step 5:
If we divide 1948 by 559, we get 3 and a remainder of 271.
Use 3 as the next digit of our solution. 
Result so far: 73.0
Subtracting 1677 from 1948 leaves us with 271.
Include the next digit (6) from the dividend after 271, then repeat: 2716 / 559

On to step 6:
559 can be fit into 2716 4 times, resulting in a remainder of 480.
The number 4 becomes the next digit in our result. 
Result so far: 734.0
The remainder is 480 after subtracting 2236 from 2716.
Fetch the next digit (4) from the dividend, attach it to 480 and continue: 4804 / 559

Going ahead to step 7:
The number 559 fits into 4804 8 times, leaving a remainder of 332.
Record the quotient 8 as the next digit in the result. 
Result so far: 7348.0
If we subtract 4472 from 4804, we get 332.
Append the next digit (8) from the dividend to 332 and continue with: 3328 / 559

Let's proceed to step 8:
If we divide 3328 by 559, we get 5 and a remainder of 533.
Write down 5 as next digit of the result. 
Result so far: 73485.0
If we take 2795 away from 3328, we end up with 533.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5330, and continue the process.

Advancing to step 9:
5330 divided by 559 is 9 with a remainder of 299.
Use 9 as the next digit of our solution. 
Result so far: 73485.9
If we subtract 5031 from 5330, we get 299.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2990, and continue the process.

Let's proceed to step 10:
559 goes into 2990 5 times with a remainder of 195.
The number 5 becomes the next digit in our result. 
Result so far: 73485.95
The remainder is 195 after subtracting 2795 from 2990.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1950, and continue the process.

Let's proceed to step 11:
If we divide 1950 by 559, we get 3 and a remainder of 273.
Use 3 as the next digit of our solution. 
Result so far: 73485.953
The remainder is 273 after subtracting 1677 from 1950.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2730, and continue the process.

Let's proceed to step 12:
559 can be fit into 2730 4 times, resulting in a remainder of 494.
Put 4 as the next digit of the answer. 
Result so far: 73485.9534
Deduct 2236 from 2730 and we're left with 494.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4940, and continue the process.

Moving on to step 13:
If we divide 4940 by 559, we get 8 and a remainder of 468.
Write down 8 as next digit of the result. 
Result so far: 73485.95348
Deduct 4472 from 4940 and we're left with 468.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4680, and continue the process.

Advancing to step 14:
The number 559 fits into 4680 8 times, leaving a remainder of 208.
Record the quotient 8 as the next digit in the result. 
Result so far: 73485.953488
If we take 4472 away from 4680, we end up with 208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

In conclusion, the division gives 73485.953488 with a balance of 2.08e-05.