416921 ÷ 16 
Our goal is to divide 416921 by 16.

On to step 1:
If we divide 4 by 16, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 16

Step 2:
The number 16 fits into 41 2 times, leaving a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 32 from 41 leaves us with 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 16

On to step 3:
If we divide 96 by 16, we get 6 and a remainder of 0.
The next digit of our result is 6. 
Result so far: 26.0
If we take 96 away from 96, we end up with 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 16

Moving on to step 4:
The number 16 fits into 9 0 times, leaving a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 260.0
If we take 0 away from 9, we end up with 9.
Include the next digit (2) from the dividend after 9, then repeat: 92 / 16

On to step 5:
92 divided by 16 is 5 with a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 2605.0
If we subtract 80 from 92, we get 12.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 16

Going ahead to step 6:
121 divided by 16 is 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 26057.0
If we take 112 away from 121, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
If we divide 90 by 16, we get 5 and a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 26057.5
The remainder is 10 after subtracting 80 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
The number 16 fits into 100 6 times, leaving a remainder of 4.
The next digit of our result is 6. 
Result so far: 26057.56
If we take 96 away from 100, we end up 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 9:
If we divide 40 by 16, we get 2 and a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 26057.562
Deduct 32 from 40 and we're left 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.

Step 10:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 26057.5625
Subtract 80 from 80 to 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 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: 26057.5625
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.

Step 12:
0 divided by 16 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 26057.5625
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.

After the division, we end up with 26057.5625 and a remainder of 0.0.