15825 ÷ 16 
We want to divide 15825 by 16.

Moving on to step 1:
1 divided by 16 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 16

Moving on to step 2:
15 divided by 16 is 0 with a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Bring next digit (8) of the dividend behind the 15 and repeat the process: 158 / 16

Advancing to step 3:
16 can be fit into 158 9 times, resulting in a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtract 144 from 158 to get 14.
Bring next digit (2) of the dividend behind the 14 and repeat the process: 142 / 16

Advancing to step 4:
When dividing 142 by 16, we get 8 with a remainder of 14.
The next digit of our result is 8. 
Result so far: 98.0
If we subtract 128 from 142, we get 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 16

On to step 5:
16 goes into 145 9 times with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 989.0
If we take 144 away from 145, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 6:
If we divide 10 by 16, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 989.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
If we divide 100 by 16, we get 6 and a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 989.06
Deduct 96 from 100 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
40 divided by 16 is 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 989.062
The remainder is 8 after subtracting 32 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
16 goes into 80 5 times with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 989.0625
If we take 80 away from 80, we end up 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.

Going ahead to step 10:
0 divided by 16 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 989.0625
Subtracting 0 from 0 leaves us 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.

Going ahead to step 11:
16 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 989.0625
If we take 0 away from 0, we end up 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.

The quotient of the division is 989.0625, and the remainder is 0.0.