We divide 100659 by 16
Let's see how many times 16 fits into 100659.

Moving on to step 1:
If we divide 1 by 16, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 16

Step 2:
The number 16 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Append the next digit (0) from the dividend to 10 and continue with: 100 / 16

Going ahead to step 3:
The number 16 fits into 100 6 times, leaving a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 96 away from 100, we end up with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 16

Moving on to step 4:
When dividing 46 by 16, we get 2 with a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 62.0
Subtracting 32 from 46 leaves us with 14.
Take the next digit (5) from the dividend and append it to 14, then repeat: 145 / 16

On to step 5:
When dividing 145 by 16, we get 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 629.0
Deduct 144 from 145 and we're left with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 16

Going ahead to step 6:
16 can be fit into 19 1 times, resulting in a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 6291.0
The remainder is 3 after subtracting 16 from 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
16 goes into 30 1 times with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 6291.1
Deduct 16 from 30 and we're left 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.

On to step 8:
The number 16 fits into 140 8 times, leaving a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 6291.18
If we subtract 128 from 140, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
If we divide 120 by 16, we get 7 and a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 6291.187
Subtracting 112 from 120 leaves us 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.
Record the quotient 5 as the next digit in the result. 
Result so far: 6291.1875
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:
0 divided by 16 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 6291.1875
If we subtract 0 from 0, we 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.

On to step 12:
16 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 6291.1875
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.

The quotient of the division is 6291.1875, and the remainder is 0.0.