85568788 ÷ 778 
We're looking to find how many times 778 goes into 85568788.

On to step 1:
When dividing 8 by 778, we get 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 778

On to step 2:
85 divided by 778 is 0 with a remainder of 85.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 85 to get 85.
Fetch the next digit (5) from the dividend, attach it to 85 and continue: 855 / 778

Step 3:
778 goes into 855 1 times with a remainder of 77.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 778 from 855 leaves us with 77.
Grab the next digit (6) from the dividend, add it to 77, then carry on: 776 / 778

Advancing to step 4:
If we divide 776 by 778, we get 0 and a remainder of 776.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we subtract 0 from 776, we get 776.
Grab the next digit (8) from the dividend, add it to 776, then carry on: 7768 / 778

Step 5:
778 goes into 7768 9 times with a remainder of 766.
The number 9 becomes the next digit in our result. 
Result so far: 109.0
Subtracting 7002 from 7768 leaves us with 766.
Take the next digit (7) from the dividend and append it to 766, then repeat: 7667 / 778

Step 6:
7667 divided by 778 is 9 with a remainder of 665.
The number 9 becomes the next digit in our result. 
Result so far: 1099.0
If we subtract 7002 from 7667, we get 665.
Grab the next digit (8) from the dividend, add it to 665, then carry on: 6658 / 778

Advancing to step 7:
When dividing 6658 by 778, we get 8 with a remainder of 434.
The next digit of our result is 8. 
Result so far: 10998.0
Subtract 6224 from 6658 to get 434.
Bring next digit (8) of the dividend behind the 434 and repeat the process: 4348 / 778

Going ahead to step 8:
The number 778 fits into 4348 5 times, leaving a remainder of 458.
The next digit of our result is 5. 
Result so far: 109985.0
If we subtract 3890 from 4348, we get 458.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4580, and continue the process.

Moving on to step 9:
4580 divided by 778 is 5 with a remainder of 690.
Put 5 as the next digit of the answer. 
Result so far: 109985.5
The remainder is 690 after subtracting 3890 from 4580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6900, and continue the process.

Let's proceed to step 10:
If we divide 6900 by 778, we get 8 and a remainder of 676.
Put 8 as the next digit of the answer. 
Result so far: 109985.58
Subtracting 6224 from 6900 leaves us with 676.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6760, and continue the process.

Moving on to step 11:
778 goes into 6760 8 times with a remainder of 536.
The number 8 becomes the next digit in our result. 
Result so far: 109985.588
The remainder is 536 after subtracting 6224 from 6760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5360, and continue the process.

The final result is 109985.588 with a remainder of 0.0536.