We look at the division of 91088519 by 559 
We want to figure out the number of times 91088519 can be divided by 559.

Going ahead to step 1:
559 goes into 9 0 times with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Fetch the next digit (1) from the dividend, attach it to 9 and continue: 91 / 559

Advancing to step 2:
559 goes into 91 0 times with a remainder of 91.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 91, we end up with 91.
Grab the next digit (0) from the dividend, add it to 91, then carry on: 910 / 559

Advancing to step 3:
The number 559 fits into 910 1 times, leaving a remainder of 351.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 559 away from 910, we end up with 351.
Bring next digit (8) of the dividend behind the 351 and repeat the process: 3518 / 559

Going ahead to step 4:
When dividing 3518 by 559, we get 6 with a remainder of 164.
Write down 6 as next digit of the result. 
Result so far: 16.0
Subtract 3354 from 3518 to get 164.
Bring next digit (8) of the dividend behind the 164 and repeat the process: 1648 / 559

On to step 5:
When dividing 1648 by 559, we get 2 with a remainder of 530.
Record the quotient 2 as the next digit in the result. 
Result so far: 162.0
Subtracting 1118 from 1648 leaves us with 530.
Grab the next digit (5) from the dividend, add it to 530, then carry on: 5305 / 559

Step 6:
559 goes into 5305 9 times with a remainder of 274.
The number 9 becomes the next digit in our result. 
Result so far: 1629.0
If we subtract 5031 from 5305, we get 274.
Take the next digit (1) from the dividend and append it to 274, then repeat: 2741 / 559

Step 7:
The number 559 fits into 2741 4 times, leaving a remainder of 505.
Use 4 as the next digit of our solution. 
Result so far: 16294.0
The remainder is 505 after subtracting 2236 from 2741.
Fetch the next digit (9) from the dividend, attach it to 505 and continue: 5059 / 559

Step 8:
When dividing 5059 by 559, we get 9 with a remainder of 28.
Put 9 as the next digit of the answer. 
Result so far: 162949.0
If we take 5031 away from 5059, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 9:
559 can be fit into 280 0 times, resulting in a remainder of 280.
Write down 0 as next digit of the result. 
Result so far: 162949.0
If we take 0 away from 280, we end up with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Advancing to step 10:
When dividing 2800 by 559, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 162949.05
Deduct 2795 from 2800 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 11:
559 goes into 50 0 times with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 162949.05
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 12:
If we divide 500 by 559, we get 0 and a remainder of 500.
The number 0 becomes the next digit in our result. 
Result so far: 162949.05
Subtract 0 from 500 to get 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

The quotient of the division is 162949.05, and the remainder is 0.005.