505978 ÷ 88 
Our goal is to divide 505978 by 88.

On to step 1:
When dividing 5 by 88, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 88

Step 2:
The number 88 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Grab the next digit (5) from the dividend, add it to 50, then carry on: 505 / 88

Let's proceed to step 3:
The number 88 fits into 505 5 times, leaving a remainder of 65.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 65 after subtracting 440 from 505.
Take the next digit (9) from the dividend and append it to 65, then repeat: 659 / 88

Step 4:
When dividing 659 by 88, we get 7 with a remainder of 43.
Put 7 as the next digit of the answer. 
Result so far: 57.0
Deduct 616 from 659 and we're left with 43.
Fetch the next digit (7) from the dividend, attach it to 43 and continue: 437 / 88

Moving on to step 5:
If we divide 437 by 88, we get 4 and a remainder of 85.
Record the quotient 4 as the next digit in the result. 
Result so far: 574.0
If we take 352 away from 437, we end up with 85.
Include the next digit (8) from the dividend after 85, then repeat: 858 / 88

Moving on to step 6:
The number 88 fits into 858 9 times, leaving a remainder of 66.
Use 9 as the next digit of our solution. 
Result so far: 5749.0
The remainder is 66 after subtracting 792 from 858.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 7:
88 can be fit into 660 7 times, resulting in a remainder of 44.
Put 7 as the next digit of the answer. 
Result so far: 5749.7
If we subtract 616 from 660, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 8:
88 can be fit into 440 5 times, resulting in a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 5749.75
If we take 440 away from 440, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
88 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 5749.75
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
When dividing 0 by 88, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 5749.75
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 5749.75 with a remaining 0.0.