82125 divided by 16 
We want to figure out the number of times 82125 can be divided by 16.

Advancing to step 1:
The number 16 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 16

Step 2:
When dividing 82 by 16, we get 5 with a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 80 from 82, we get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 16

Going ahead to step 3:
21 divided by 16 is 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 51.0
If we take 16 away from 21, we end up with 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 16

Advancing to step 4:
52 divided by 16 is 3 with a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 513.0
If we subtract 48 from 52, we get 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 16

Moving on to step 5:
When dividing 45 by 16, we get 2 with a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 5132.0
The remainder is 13 after subtracting 32 from 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 6:
When dividing 130 by 16, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 5132.8
The remainder is 2 after subtracting 128 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
16 can be fit into 20 1 times, resulting in a remainder of 4.
The next digit of our result is 1. 
Result so far: 5132.81
Deduct 16 from 20 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.

Moving on to step 8:
If we divide 40 by 16, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 5132.812
If we take 32 away from 40, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
When dividing 80 by 16, we get 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 5132.8125
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.

Moving on to step 10:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 5132.8125
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.

On to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 5132.8125
Deduct 0 from 0 and we're left 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 5132.8125, and the remainder is 0.0.