We look at the division of 42260986 by 559 
We want to divide 42260986 by 559.

Step 1:
The number 559 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 559

Advancing to step 2:
559 goes into 42 0 times with a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 42, we get 42.
Bring next digit (2) of the dividend behind the 42 and repeat the process: 422 / 559

Going ahead to step 3:
559 can be fit into 422 0 times, resulting in a remainder of 422.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 422 to get 422.
Bring next digit (6) of the dividend behind the 422 and repeat the process: 4226 / 559

On to step 4:
4226 divided by 559 is 7 with a remainder of 313.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 3913 from 4226 and we're left with 313.
Fetch the next digit (0) from the dividend, attach it to 313 and continue: 3130 / 559

Let's proceed to step 5:
If we divide 3130 by 559, we get 5 and a remainder of 335.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
If we subtract 2795 from 3130, we get 335.
Fetch the next digit (9) from the dividend, attach it to 335 and continue: 3359 / 559

Moving on to step 6:
When dividing 3359 by 559, we get 6 with a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 756.0
If we subtract 3354 from 3359, we get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 559

Step 7:
The number 559 fits into 58 0 times, leaving a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 7560.0
The remainder is 58 after subtracting 0 from 58.
Append the next digit (6) from the dividend to 58 and continue with: 586 / 559

Going ahead to step 8:
The number 559 fits into 586 1 times, leaving a remainder of 27.
The next digit of our result is 1. 
Result so far: 75601.0
Subtract 559 from 586 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 9:
If we divide 270 by 559, we get 0 and a remainder of 270.
Put 0 as the next digit of the answer. 
Result so far: 75601.0
The remainder is 270 after subtracting 0 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

Moving on to step 10:
When dividing 2700 by 559, we get 4 with a remainder of 464.
Put 4 as the next digit of the answer. 
Result so far: 75601.04
If we subtract 2236 from 2700, we get 464.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4640, and continue the process.

Step 11:
559 can be fit into 4640 8 times, resulting in a remainder of 168.
Write down 8 as next digit of the result. 
Result so far: 75601.048
Subtracting 4472 from 4640 leaves us with 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Advancing to step 12:
The number 559 fits into 1680 3 times, leaving a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 75601.0483
If we subtract 1677 from 1680, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 13:
30 divided by 559 is 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 75601.0483
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 14:
When dividing 300 by 559, we get 0 with a remainder of 300.
Put 0 as the next digit of the answer. 
Result so far: 75601.0483
The remainder is 300 after subtracting 0 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

Our division results in 75601.0483 with a remaining 3e-05.