We look at the division of 553791 by 78 
Our goal is to divide 553791 by 78.

On to step 1:
5 divided by 78 is 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.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 78

Moving on to step 2:
The number 78 fits into 55 0 times, leaving a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 55, we end up with 55.
Append the next digit (3) from the dividend to 55 and continue with: 553 / 78

Moving on to step 3:
78 can be fit into 553 7 times, resulting in a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we subtract 546 from 553, we get 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 78

On to step 4:
If we divide 77 by 78, we get 0 and a remainder of 77.
Record the quotient 0 as the next digit in the result. 
Result so far: 70.0
If we subtract 0 from 77, we get 77.
Include the next digit (9) from the dividend after 77, then repeat: 779 / 78

Let's proceed to step 5:
78 can be fit into 779 9 times, resulting in a remainder of 77.
Record the quotient 9 as the next digit in the result. 
Result so far: 709.0
Subtract 702 from 779 to get 77.
Take the next digit (1) from the dividend and append it to 77, then repeat: 771 / 78

Going ahead to step 6:
78 goes into 771 9 times with a remainder of 69.
The number 9 becomes the next digit in our result. 
Result so far: 7099.0
The remainder is 69 after subtracting 702 from 771.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 7:
When dividing 690 by 78, we get 8 with a remainder of 66.
Write down 8 as next digit of the result. 
Result so far: 7099.8
Subtracting 624 from 690 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 8:
78 can be fit into 660 8 times, resulting in a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 7099.88
If we subtract 624 from 660, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The final result is 7099.88 with a remainder of 0.036.