We're dividing 585933 by 88 
We want to divide 585933 by 88.

Step 1:
When dividing 5 by 88, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 88

Step 2:
If we divide 58 by 88, we get 0 and a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Append the next digit (5) from the dividend to 58 and continue with: 585 / 88

Advancing to step 3:
If we divide 585 by 88, we get 6 and a remainder of 57.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 528 from 585 to get 57.
Bring next digit (9) of the dividend behind the 57 and repeat the process: 579 / 88

On to step 4:
The number 88 fits into 579 6 times, leaving a remainder of 51.
Put 6 as the next digit of the answer. 
Result so far: 66.0
Subtract 528 from 579 to get 51.
Bring next digit (3) of the dividend behind the 51 and repeat the process: 513 / 88

On to step 5:
88 goes into 513 5 times with a remainder of 73.
The number 5 becomes the next digit in our result. 
Result so far: 665.0
If we take 440 away from 513, we end up with 73.
Include the next digit (3) from the dividend after 73, then repeat: 733 / 88

Let's proceed to step 6:
733 divided by 88 is 8 with a remainder of 29.
Use 8 as the next digit of our solution. 
Result so far: 6658.0
If we subtract 704 from 733, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 7:
The number 88 fits into 290 3 times, leaving a remainder of 26.
The next digit of our result is 3. 
Result so far: 6658.3
If we take 264 away from 290, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 8:
88 can be fit into 260 2 times, resulting in a remainder of 84.
The next digit of our result is 2. 
Result so far: 6658.32
Subtracting 176 from 260 leaves us with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

On to step 9:
When dividing 840 by 88, we get 9 with a remainder of 48.
The number 9 becomes the next digit in our result. 
Result so far: 6658.329
Deduct 792 from 840 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 10:
When dividing 480 by 88, we get 5 with a remainder of 40.
Use 5 as the next digit of our solution. 
Result so far: 6658.3295
If we subtract 440 from 480, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 11:
When dividing 400 by 88, we get 4 with a remainder of 48.
The next digit of our result is 4. 
Result so far: 6658.32954
Subtracting 352 from 400 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 12:
480 divided by 88 is 5 with a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 6658.329545
If we take 440 away from 480, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 13:
400 divided by 88 is 4 with a remainder of 48.
Record the quotient 4 as the next digit in the result. 
Result so far: 6658.3295454
If we subtract 352 from 400, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 14:
The number 88 fits into 480 5 times, leaving a remainder of 40.
Use 5 as the next digit of our solution. 
Result so far: 6658.32954545
Subtract 440 from 480 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The quotient of the division is 6658.32954545, and the remainder is 4e-08.