We're dividing 7788 by 15 
We want to divide 7788 by 15.

Advancing to step 1:
7 divided by 15 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 15

Going ahead to step 2:
When dividing 77 by 15, we get 5 with a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 75 from 77 leaves us with 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 15

Step 3:
28 divided by 15 is 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 51.0
Subtract 15 from 28 to get 13.
Bring next digit (8) of the dividend behind the 13 and repeat the process: 138 / 15

Going ahead to step 4:
When dividing 138 by 15, we get 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 519.0
If we take 135 away from 138, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 5:
When dividing 30 by 15, we get 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 519.2
Deduct 30 from 30 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.

On to step 6:
15 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 519.2
Subtract 0 from 0 to get 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 7:
15 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 519.2
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.

In conclusion, the division gives 519.2 with a balance of 0.0.