105585 divided by 16 
We want to divide 105585 by 16.

Going ahead to step 1:
The number 16 fits into 1 0 times, leaving 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.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 16

Going ahead to step 2:
16 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 16

Going ahead to step 3:
When dividing 105 by 16, we get 6 with a remainder of 9.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 9 after subtracting 96 from 105.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 16

Step 4:
When dividing 95 by 16, we get 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 65.0
The remainder is 15 after subtracting 80 from 95.
Grab the next digit (8) from the dividend, add it to 15, then carry on: 158 / 16

Moving on to step 5:
158 divided by 16 is 9 with a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 659.0
Subtracting 144 from 158 leaves us with 14.
Include the next digit (5) from the dividend after 14, then repeat: 145 / 16

On to step 6:
16 can be fit into 145 9 times, resulting in a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 6599.0
The remainder is 1 after subtracting 144 from 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
When dividing 10 by 16, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 6599.0
If we subtract 0 from 10, we get 10.
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:
100 divided by 16 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 6599.06
Subtract 96 from 100 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

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: 6599.062
If we subtract 32 from 40, 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.

Advancing to step 10:
16 goes into 80 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 6599.0625
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:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6599.0625
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.

On to step 12:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 6599.0625
Subtract 0 from 0 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.

In conclusion, the division gives 6599.0625 with a balance of 0.0.