65597328 ÷ 559 
We're looking to find how many times 559 goes into 65597328.

Going ahead to step 1:
559 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 559

On to step 2:
If we divide 65 by 559, we get 0 and a remainder of 65.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 65 leaves us with 65.
Fetch the next digit (5) from the dividend, attach it to 65 and continue: 655 / 559

Advancing to step 3:
655 divided by 559 is 1 with a remainder of 96.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 559 from 655 leaves us with 96.
Grab the next digit (9) from the dividend, add it to 96, then carry on: 969 / 559

Step 4:
When dividing 969 by 559, we get 1 with a remainder of 410.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtract 559 from 969 to get 410.
Append the next digit (7) from the dividend to 410 and continue with: 4107 / 559

On to step 5:
The number 559 fits into 4107 7 times, leaving a remainder of 194.
Put 7 as the next digit of the answer. 
Result so far: 117.0
If we take 3913 away from 4107, we end up with 194.
Include the next digit (3) from the dividend after 194, then repeat: 1943 / 559

Moving on to step 6:
559 can be fit into 1943 3 times, resulting in a remainder of 266.
Put 3 as the next digit of the answer. 
Result so far: 1173.0
Subtract 1677 from 1943 to get 266.
Take the next digit (2) from the dividend and append it to 266, then repeat: 2662 / 559

Advancing to step 7:
The number 559 fits into 2662 4 times, leaving a remainder of 426.
The next digit of our result is 4. 
Result so far: 11734.0
Subtract 2236 from 2662 to get 426.
Take the next digit (8) from the dividend and append it to 426, then repeat: 4268 / 559

On to step 8:
If we divide 4268 by 559, we get 7 and a remainder of 355.
Put 7 as the next digit of the answer. 
Result so far: 117347.0
Subtract 3913 from 4268 to get 355.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3550, and continue the process.

Advancing to step 9:
559 can be fit into 3550 6 times, resulting in a remainder of 196.
The next digit of our result is 6. 
Result so far: 117347.6
The remainder is 196 after subtracting 3354 from 3550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

Going ahead to step 10:
1960 divided by 559 is 3 with a remainder of 283.
The number 3 becomes the next digit in our result. 
Result so far: 117347.63
Subtract 1677 from 1960 to get 283.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2830, and continue the process.

Step 11:
559 goes into 2830 5 times with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 117347.635
If we take 2795 away from 2830, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 12:
When dividing 350 by 559, we get 0 with a remainder of 350.
Record the quotient 0 as the next digit in the result. 
Result so far: 117347.635
If we subtract 0 from 350, we get 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3500, and continue the process.

Going ahead to step 13:
559 can be fit into 3500 6 times, resulting in a remainder of 146.
Write down 6 as next digit of the result. 
Result so far: 117347.63506
Subtract 3354 from 3500 to get 146.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

Let's proceed to step 14:
1460 divided by 559 is 2 with a remainder of 342.
The number 2 becomes the next digit in our result. 
Result so far: 117347.635062
If we subtract 1118 from 1460, we get 342.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3420, and continue the process.

Let's proceed to step 15:
If we divide 3420 by 559, we get 6 and a remainder of 66.
Put 6 as the next digit of the answer. 
Result so far: 117347.6350626
The remainder is 66 after subtracting 3354 from 3420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 16:
When dividing 660 by 559, we get 1 with a remainder of 101.
The next digit of our result is 1. 
Result so far: 117347.63506261
If we subtract 559 from 660, we get 101.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1010, and continue the process.

The final outcome is 117347.63506261, with a leftover of 1.01e-07.