7798 ÷ 15 
We want to figure out the number of times 7798 can be divided by 15.

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 (7) from the dividend and append it to 7, then repeat: 77 / 15

Going ahead to step 2:
When dividing 77 by 15, we get 5 with a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtract 75 from 77 to get 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 15

Step 3:
The number 15 fits into 29 1 times, leaving a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 51.0
If we take 15 away from 29, we end up with 14.
Append the next digit (8) from the dividend to 14 and continue with: 148 / 15

Let's proceed to step 4:
15 can be fit into 148 9 times, resulting in a remainder of 13.
The next digit of our result is 9. 
Result so far: 519.0
If we take 135 away from 148, we end up with 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 5:
When dividing 130 by 15, we get 8 with a remainder of 10.
The next digit of our result is 8. 
Result so far: 519.8
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 6:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 519.86
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.

Step 7:
When dividing 100 by 15, we get 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 519.866
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.

Our division results in 519.866 with a remaining 0.001.