15825 divided by 71 
We want to figure out the number of times 15825 can be divided by 71.

Advancing to step 1:
1 divided by 71 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 71

Let's proceed to step 2:
71 goes into 15 0 times with a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Take the next digit (8) from the dividend and append it to 15, then repeat: 158 / 71

Step 3:
When dividing 158 by 71, we get 2 with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 142 away from 158, we end up with 16.
Bring next digit (2) of the dividend behind the 16 and repeat the process: 162 / 71

Moving on to step 4:
If we divide 162 by 71, we get 2 and a remainder of 20.
The next digit of our result is 2. 
Result so far: 22.0
The remainder is 20 after subtracting 142 from 162.
Append the next digit (5) from the dividend to 20 and continue with: 205 / 71

Moving on to step 5:
71 can be fit into 205 2 times, resulting in a remainder of 63.
Use 2 as the next digit of our solution. 
Result so far: 222.0
If we take 142 away from 205, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Let's proceed to step 6:
630 divided by 71 is 8 with a remainder of 62.
The number 8 becomes the next digit in our result. 
Result so far: 222.8
If we subtract 568 from 630, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 7:
71 goes into 620 8 times with a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 222.88
The remainder is 52 after subtracting 568 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The quotient of the division is 222.88, and the remainder is 0.052.