We look at the division of 826876 by 16 
We want to figure out the number of times 826876 can be divided by 16.

On to step 1:
16 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 16

Moving on to step 2:
The number 16 fits into 82 5 times, leaving a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 80 from 82, we get 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 16

Advancing to step 3:
The number 16 fits into 26 1 times, leaving a remainder of 10.
The next digit of our result is 1. 
Result so far: 51.0
If we subtract 16 from 26, we get 10.
Bring next digit (8) of the dividend behind the 10 and repeat the process: 108 / 16

Moving on to step 4:
If we divide 108 by 16, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 516.0
Subtract 96 from 108 to get 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 16

Advancing to step 5:
16 can be fit into 127 7 times, resulting in a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 5167.0
If we take 112 away from 127, we end up with 15.
Take the next digit (6) from the dividend and append it to 15, then repeat: 156 / 16

Moving on to step 6:
The number 16 fits into 156 9 times, leaving a remainder of 12.
Use 9 as the next digit of our solution. 
Result so far: 51679.0
The remainder is 12 after subtracting 144 from 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
120 divided by 16 is 7 with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 51679.7
If we take 112 away from 120, 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 8:
80 divided by 16 is 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 51679.75
Subtracting 80 from 80 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.

Let's proceed to step 9:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 51679.75
If we subtract 0 from 0, we get 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:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 51679.75
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 51679.75 with a remaining 0.0.