We look at the division of 17763942 by 559 
We want to figure out the number of times 17763942 can be divided by 559.

Step 1:
559 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 559

Moving on to step 2:
The number 559 fits into 17 0 times, leaving a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Grab the next digit (7) from the dividend, add it to 17, then carry on: 177 / 559

Going ahead to step 3:
If we divide 177 by 559, we get 0 and a remainder of 177.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 177, we end up with 177.
Append the next digit (6) from the dividend to 177 and continue with: 1776 / 559

On to step 4:
When dividing 1776 by 559, we get 3 with a remainder of 99.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 99 after subtracting 1677 from 1776.
Grab the next digit (3) from the dividend, add it to 99, then carry on: 993 / 559

Moving on to step 5:
The number 559 fits into 993 1 times, leaving a remainder of 434.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
Subtracting 559 from 993 leaves us with 434.
Bring next digit (9) of the dividend behind the 434 and repeat the process: 4349 / 559

Advancing to step 6:
559 goes into 4349 7 times with a remainder of 436.
Write down 7 as next digit of the result. 
Result so far: 317.0
If we subtract 3913 from 4349, we get 436.
Append the next digit (4) from the dividend to 436 and continue with: 4364 / 559

Advancing to step 7:
559 can be fit into 4364 7 times, resulting in a remainder of 451.
The number 7 becomes the next digit in our result. 
Result so far: 3177.0
If we take 3913 away from 4364, we end up with 451.
Fetch the next digit (2) from the dividend, attach it to 451 and continue: 4512 / 559

Moving on to step 8:
559 goes into 4512 8 times with a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 31778.0
Subtracting 4472 from 4512 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 9:
When dividing 400 by 559, we get 0 with a remainder of 400.
Write down 0 as next digit of the result. 
Result so far: 31778.0
Deduct 0 from 400 and we're left with 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

On to step 10:
4000 divided by 559 is 7 with a remainder of 87.
Put 7 as the next digit of the answer. 
Result so far: 31778.07
The remainder is 87 after subtracting 3913 from 4000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Let's proceed to step 11:
870 divided by 559 is 1 with a remainder of 311.
Use 1 as the next digit of our solution. 
Result so far: 31778.071
Deduct 559 from 870 and we're left with 311.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3110, and continue the process.

Step 12:
3110 divided by 559 is 5 with a remainder of 315.
Use 5 as the next digit of our solution. 
Result so far: 31778.0715
Deduct 2795 from 3110 and we're left with 315.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3150, and continue the process.

Going ahead to step 13:
When dividing 3150 by 559, we get 5 with a remainder of 355.
Use 5 as the next digit of our solution. 
Result so far: 31778.07155
Subtracting 2795 from 3150 leaves us with 355.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3550, and continue the process.

The final outcome is 31778.07155, with a leftover of 0.000355.