716825 ÷ 15 
We're looking to find how many times 15 goes into 716825.

Step 1:
The number 15 fits into 7 0 times, leaving 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.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 15

Let's proceed to step 2:
71 divided by 15 is 4 with a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 4.0
Deduct 60 from 71 and we're left with 11.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 15

On to step 3:
116 divided by 15 is 7 with a remainder of 11.
The next digit of our result is 7. 
Result so far: 47.0
Subtracting 105 from 116 leaves us with 11.
Bring next digit (8) of the dividend behind the 11 and repeat the process: 118 / 15

Step 4:
If we divide 118 by 15, we get 7 and a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 477.0
Deduct 105 from 118 and we're left with 13.
Fetch the next digit (2) from the dividend, attach it to 13 and continue: 132 / 15

Moving on to step 5:
15 goes into 132 8 times with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 4778.0
If we subtract 120 from 132, we get 12.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 15

Moving on to step 6:
When dividing 125 by 15, we get 8 with a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 47788.0
If we take 120 away from 125, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
The number 15 fits into 50 3 times, leaving a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 47788.3
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
The number 15 fits into 50 3 times, leaving a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 47788.33
Subtract 45 from 50 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final result is 47788.33 with a remainder of 0.005.