76798 divided by 15 
Let's see how many times 15 fits into 76798.

Moving on to step 1:
When dividing 7 by 15, we get 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 15

Advancing to step 2:
The number 15 fits into 76 5 times, leaving a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 75 from 76 to get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 15

Let's proceed to step 3:
When dividing 17 by 15, we get 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 51.0
Deduct 15 from 17 and we're left with 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 15

Going ahead to step 4:
The number 15 fits into 29 1 times, leaving a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 511.0
Subtracting 15 from 29 leaves us with 14.
Append the next digit (8) from the dividend to 14 and continue with: 148 / 15

Advancing to step 5:
15 can be fit into 148 9 times, resulting in a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 5119.0
Subtract 135 from 148 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 6:
130 divided by 15 is 8 with a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 5119.8
If we take 120 away from 130, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
If we divide 100 by 15, we get 6 and a remainder of 10.
The next digit of our result is 6. 
Result so far: 5119.86
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
15 goes into 100 6 times with a remainder of 10.
The next digit of our result is 6. 
Result so far: 5119.866
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 5119.866 with a remainder of 0.001.