We look at the division of 33006697 by 559 
We're looking to find how many times 559 goes into 33006697.

Going ahead to step 1:
559 can be fit into 3 0 times, resulting in a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 559

On to step 2:
559 can be fit into 33 0 times, resulting in a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Append the next digit (0) from the dividend to 33 and continue with: 330 / 559

Going ahead to step 3:
559 can be fit into 330 0 times, resulting in a remainder of 330.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 330 after subtracting 0 from 330.
Take the next digit (0) from the dividend and append it to 330, then repeat: 3300 / 559

Let's proceed to step 4:
559 can be fit into 3300 5 times, resulting in a remainder of 505.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 2795 from 3300 and we're left with 505.
Include the next digit (6) from the dividend after 505, then repeat: 5056 / 559

Going ahead to step 5:
559 goes into 5056 9 times with a remainder of 25.
Put 9 as the next digit of the answer. 
Result so far: 59.0
Subtract 5031 from 5056 to get 25.
Bring next digit (6) of the dividend behind the 25 and repeat the process: 256 / 559

Step 6:
The number 559 fits into 256 0 times, leaving a remainder of 256.
Put 0 as the next digit of the answer. 
Result so far: 590.0
Subtract 0 from 256 to get 256.
Take the next digit (9) from the dividend and append it to 256, then repeat: 2569 / 559

Step 7:
When dividing 2569 by 559, we get 4 with a remainder of 333.
The next digit of our result is 4. 
Result so far: 5904.0
Subtract 2236 from 2569 to get 333.
Take the next digit (7) from the dividend and append it to 333, then repeat: 3337 / 559

Let's proceed to step 8:
559 can be fit into 3337 5 times, resulting in a remainder of 542.
Write down 5 as next digit of the result. 
Result so far: 59045.0
If we subtract 2795 from 3337, we get 542.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5420, and continue the process.

Advancing to step 9:
When dividing 5420 by 559, we get 9 with a remainder of 389.
Write down 9 as next digit of the result. 
Result so far: 59045.9
If we subtract 5031 from 5420, we get 389.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3890, and continue the process.

Step 10:
559 goes into 3890 6 times with a remainder of 536.
The next digit of our result is 6. 
Result so far: 59045.96
The remainder is 536 after subtracting 3354 from 3890.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5360, and continue the process.

Going ahead to step 11:
559 goes into 5360 9 times with a remainder of 329.
The number 9 becomes the next digit in our result. 
Result so far: 59045.969
Subtracting 5031 from 5360 leaves us with 329.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3290, and continue the process.

Moving on to step 12:
When dividing 3290 by 559, we get 5 with a remainder of 495.
Put 5 as the next digit of the answer. 
Result so far: 59045.9695
Subtracting 2795 from 3290 leaves us with 495.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4950, and continue the process.

Moving on to step 13:
When dividing 4950 by 559, we get 8 with a remainder of 478.
Put 8 as the next digit of the answer. 
Result so far: 59045.96958
Subtracting 4472 from 4950 leaves us with 478.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4780, and continue the process.

Advancing to step 14:
The number 559 fits into 4780 8 times, leaving a remainder of 308.
Put 8 as the next digit of the answer. 
Result so far: 59045.969588
Deduct 4472 from 4780 and we're left with 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

After the division, we end up with 59045.969588 and a remainder of 3.08e-05.