1278993 ÷ 559 
Our goal is to divide 1278993 by 559.

Advancing to step 1:
559 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 559

Step 2:
If we divide 12 by 559, we get 0 and a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Fetch the next digit (7) from the dividend, attach it to 12 and continue: 127 / 559

Going ahead to step 3:
127 divided by 559 is 0 with a remainder of 127.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 127 to get 127.
Grab the next digit (8) from the dividend, add it to 127, then carry on: 1278 / 559

On to step 4:
1278 divided by 559 is 2 with a remainder of 160.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 1118 from 1278 leaves us with 160.
Bring next digit (9) of the dividend behind the 160 and repeat the process: 1609 / 559

Going ahead to step 5:
1609 divided by 559 is 2 with a remainder of 491.
Record the quotient 2 as the next digit in the result. 
Result so far: 22.0
Deduct 1118 from 1609 and we're left with 491.
Take the next digit (9) from the dividend and append it to 491, then repeat: 4919 / 559

Let's proceed to step 6:
When dividing 4919 by 559, we get 8 with a remainder of 447.
The number 8 becomes the next digit in our result. 
Result so far: 228.0
Subtract 4472 from 4919 to get 447.
Fetch the next digit (3) from the dividend, attach it to 447 and continue: 4473 / 559

Advancing to step 7:
If we divide 4473 by 559, we get 8 and a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 2288.0
If we take 4472 away from 4473, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
When dividing 10 by 559, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 2288.0
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
If we divide 100 by 559, we get 0 and a remainder of 100.
The number 0 becomes the next digit in our result. 
Result so far: 2288.0
Subtracting 0 from 100 leaves us with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

After the division, we end up with 2288.0 and a remainder of 0.1.