We're dividing 456659 by 16 
We want to figure out the number of times 456659 can be divided by 16.

Moving on to step 1:
When dividing 4 by 16, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 16

Step 2:
When dividing 45 by 16, we get 2 with a remainder of 13.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 32 from 45 to get 13.
Fetch the next digit (6) from the dividend, attach it to 13 and continue: 136 / 16

Moving on to step 3:
If we divide 136 by 16, we get 8 and a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 28.0
If we subtract 128 from 136, we get 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 16

On to step 4:
If we divide 86 by 16, we get 5 and a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 285.0
Subtract 80 from 86 to get 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 16

Step 5:
The number 16 fits into 65 4 times, leaving a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 2854.0
If we subtract 64 from 65, we get 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 16

Step 6:
If we divide 19 by 16, we get 1 and a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 28541.0
If we subtract 16 from 19, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
The number 16 fits into 30 1 times, leaving a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 28541.1
If we take 16 away from 30, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 8:
16 goes into 140 8 times with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 28541.18
Deduct 128 from 140 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
120 divided by 16 is 7 with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 28541.187
The remainder is 8 after subtracting 112 from 120.
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 10:
16 can be fit into 80 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 28541.1875
The remainder is 0 after subtracting 80 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 28541.1875
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.

On to step 12:
If we divide 0 by 16, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 28541.1875
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 28541.1875 and a remainder of 0.0.