587659 ÷ 16 
We want to figure out the number of times 587659 can be divided by 16.

Step 1:
When dividing 5 by 16, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 16

Moving on to step 2:
If we divide 58 by 16, we get 3 and a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 48 from 58 and we're left with 10.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 16

Advancing to step 3:
The number 16 fits into 107 6 times, leaving a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 36.0
If we subtract 96 from 107, we get 11.
Include the next digit (6) from the dividend after 11, then repeat: 116 / 16

Step 4:
116 divided by 16 is 7 with a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 367.0
If we take 112 away from 116, we end up with 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 16

Advancing to step 5:
16 can be fit into 45 2 times, resulting in a remainder of 13.
Put 2 as the next digit of the answer. 
Result so far: 3672.0
Subtract 32 from 45 to get 13.
Bring next digit (9) of the dividend behind the 13 and repeat the process: 139 / 16

Going ahead to step 6:
139 divided by 16 is 8 with a remainder of 11.
Put 8 as the next digit of the answer. 
Result so far: 36728.0
If we take 128 away from 139, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
If we divide 110 by 16, we get 6 and a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 36728.6
Subtract 96 from 110 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 8:
When dividing 140 by 16, we get 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 36728.68
The remainder is 12 after subtracting 128 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
The number 16 fits into 120 7 times, leaving a remainder of 8.
The next digit of our result is 7. 
Result so far: 36728.687
If we subtract 112 from 120, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
16 goes into 80 5 times with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 36728.6875
Deduct 80 from 80 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.

On to step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 36728.6875
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:
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: 36728.6875
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.

After the division, we end up with 36728.6875 and a remainder of 0.0.