We look at the division of 59589 by 88 
We want to divide 59589 by 88.

On to step 1:
When dividing 5 by 88, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 88

On to step 2:
59 divided by 88 is 0 with a remainder of 59.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 59 leaves us with 59.
Take the next digit (5) from the dividend and append it to 59, then repeat: 595 / 88

Moving on to step 3:
When dividing 595 by 88, we get 6 with a remainder of 67.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 67 after subtracting 528 from 595.
Include the next digit (8) from the dividend after 67, then repeat: 678 / 88

Going ahead to step 4:
The number 88 fits into 678 7 times, leaving a remainder of 62.
Record the quotient 7 as the next digit in the result. 
Result so far: 67.0
Deduct 616 from 678 and we're left with 62.
Fetch the next digit (9) from the dividend, attach it to 62 and continue: 629 / 88

Moving on to step 5:
88 goes into 629 7 times with a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 677.0
If we take 616 away from 629, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 6:
When dividing 130 by 88, we get 1 with a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 677.1
The remainder is 42 after subtracting 88 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 7:
420 divided by 88 is 4 with a remainder of 68.
The next digit of our result is 4. 
Result so far: 677.14
The remainder is 68 after subtracting 352 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 8:
The number 88 fits into 680 7 times, leaving a remainder of 64.
Use 7 as the next digit of our solution. 
Result so far: 677.147
The remainder is 64 after subtracting 616 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 9:
If we divide 640 by 88, we get 7 and a remainder of 24.
Record the quotient 7 as the next digit in the result. 
Result so far: 677.1477
The remainder is 24 after subtracting 616 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final result is 677.1477 with a remainder of 0.00024.