56519378 ÷ 559 
We want to figure out the number of times 56519378 can be divided by 559.

Going ahead to step 1:
5 divided by 559 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 559

On to step 2:
56 divided by 559 is 0 with a remainder of 56.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 56, we get 56.
Fetch the next digit (5) from the dividend, attach it to 56 and continue: 565 / 559

Advancing to step 3:
If we divide 565 by 559, we get 1 and a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 6 after subtracting 559 from 565.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 559

Going ahead to step 4:
When dividing 61 by 559, we get 0 with a remainder of 61.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 61 and we're left with 61.
Include the next digit (9) from the dividend after 61, then repeat: 619 / 559

Advancing to step 5:
559 goes into 619 1 times with a remainder of 60.
The number 1 becomes the next digit in our result. 
Result so far: 101.0
Subtracting 559 from 619 leaves us with 60.
Grab the next digit (3) from the dividend, add it to 60, then carry on: 603 / 559

Let's proceed to step 6:
The number 559 fits into 603 1 times, leaving a remainder of 44.
Record the quotient 1 as the next digit in the result. 
Result so far: 1011.0
The remainder is 44 after subtracting 559 from 603.
Include the next digit (7) from the dividend after 44, then repeat: 447 / 559

Let's proceed to step 7:
559 goes into 447 0 times with a remainder of 447.
Put 0 as the next digit of the answer. 
Result so far: 10110.0
If we take 0 away from 447, we end up with 447.
Append the next digit (8) from the dividend to 447 and continue with: 4478 / 559

Let's proceed to step 8:
559 can be fit into 4478 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 101108.0
The remainder is 6 after subtracting 4472 from 4478.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 9:
When dividing 60 by 559, we get 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 101108.0
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 10:
When dividing 600 by 559, we get 1 with a remainder of 41.
The next digit of our result is 1. 
Result so far: 101108.01
If we subtract 559 from 600, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 11:
559 can be fit into 410 0 times, resulting in a remainder of 410.
The number 0 becomes the next digit in our result. 
Result so far: 101108.01
If we subtract 0 from 410, we get 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4100, and continue the process.

Going ahead to step 12:
When dividing 4100 by 559, we get 7 with a remainder of 187.
The number 7 becomes the next digit in our result. 
Result so far: 101108.0107
Deduct 3913 from 4100 and we're left with 187.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1870, and continue the process.

Let's proceed to step 13:
1870 divided by 559 is 3 with a remainder of 193.
Use 3 as the next digit of our solution. 
Result so far: 101108.01073
The remainder is 193 after subtracting 1677 from 1870.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1930, and continue the process.

Going ahead to step 14:
When dividing 1930 by 559, we get 3 with a remainder of 253.
Put 3 as the next digit of the answer. 
Result so far: 101108.010733
Subtract 1677 from 1930 to get 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

Our division results in 101108.010733 with a remaining 2.53e-05.