We look at the division of 159589 by 16 
We want to figure out the number of times 159589 can be divided by 16.

Moving on to step 1:
1 divided by 16 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 16

On to step 2:
16 goes into 15 0 times with a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 15 and we're left with 15.
Bring next digit (9) of the dividend behind the 15 and repeat the process: 159 / 16

On to step 3:
If we divide 159 by 16, we get 9 and a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we subtract 144 from 159, we get 15.
Bring next digit (5) of the dividend behind the 15 and repeat the process: 155 / 16

Moving on to step 4:
155 divided by 16 is 9 with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 99.0
If we subtract 144 from 155, we get 11.
Bring next digit (8) of the dividend behind the 11 and repeat the process: 118 / 16

Let's proceed to step 5:
If we divide 118 by 16, we get 7 and a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 997.0
If we subtract 112 from 118, we get 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 16

Moving on to step 6:
69 divided by 16 is 4 with a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 9974.0
Subtract 64 from 69 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
16 goes into 50 3 times with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 9974.3
Subtract 48 from 50 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
20 divided by 16 is 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 9974.31
Subtracting 16 from 20 leaves us 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 9:
16 can be fit into 40 2 times, resulting in a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 9974.312
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.

Moving on to step 10:
When dividing 80 by 16, we get 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 9974.3125
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.

Going ahead to step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 9974.3125
If we take 0 away from 0, 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 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: 9974.3125
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 final result is 9974.3125 with a remainder of 0.0.