We're dividing 75582987 by 596 
Our goal is to divide 75582987 by 596.

Step 1:
The number 596 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 596

Going ahead to step 2:
596 goes into 75 0 times with a remainder of 75.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 75 to get 75.
Append the next digit (5) from the dividend to 75 and continue with: 755 / 596

Going ahead to step 3:
755 divided by 596 is 1 with a remainder of 159.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 159 after subtracting 596 from 755.
Include the next digit (8) from the dividend after 159, then repeat: 1598 / 596

Moving on to step 4:
The number 596 fits into 1598 2 times, leaving a remainder of 406.
Use 2 as the next digit of our solution. 
Result so far: 12.0
The remainder is 406 after subtracting 1192 from 1598.
Bring next digit (2) of the dividend behind the 406 and repeat the process: 4062 / 596

Going ahead to step 5:
If we divide 4062 by 596, we get 6 and a remainder of 486.
Record the quotient 6 as the next digit in the result. 
Result so far: 126.0
Subtract 3576 from 4062 to get 486.
Take the next digit (9) from the dividend and append it to 486, then repeat: 4869 / 596

Moving on to step 6:
When dividing 4869 by 596, we get 8 with a remainder of 101.
The next digit of our result is 8. 
Result so far: 1268.0
Subtracting 4768 from 4869 leaves us with 101.
Append the next digit (8) from the dividend to 101 and continue with: 1018 / 596

Let's proceed to step 7:
When dividing 1018 by 596, we get 1 with a remainder of 422.
The number 1 becomes the next digit in our result. 
Result so far: 12681.0
Subtract 596 from 1018 to get 422.
Take the next digit (7) from the dividend and append it to 422, then repeat: 4227 / 596

Moving on to step 8:
The number 596 fits into 4227 7 times, leaving a remainder of 55.
The number 7 becomes the next digit in our result. 
Result so far: 126817.0
Subtracting 4172 from 4227 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 9:
596 goes into 550 0 times with a remainder of 550.
Write down 0 as next digit of the result. 
Result so far: 126817.0
Subtracting 0 from 550 leaves us with 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5500, and continue the process.

Let's proceed to step 10:
If we divide 5500 by 596, we get 9 and a remainder of 136.
Write down 9 as next digit of the result. 
Result so far: 126817.09
Subtracting 5364 from 5500 leaves us with 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

Step 11:
When dividing 1360 by 596, we get 2 with a remainder of 168.
Record the quotient 2 as the next digit in the result. 
Result so far: 126817.092
The remainder is 168 after subtracting 1192 from 1360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Going ahead to step 12:
When dividing 1680 by 596, we get 2 with a remainder of 488.
Put 2 as the next digit of the answer. 
Result so far: 126817.0922
Deduct 1192 from 1680 and we're left with 488.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4880, and continue the process.

The final result is 126817.0922 with a remainder of 0.00488.