We look at the division of 103961 by 16 
We want to figure out the number of times 103961 can be divided by 16.

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.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 16

Moving on to step 2:
The number 16 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 16

Moving on to step 3:
16 can be fit into 103 6 times, resulting in a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 96 from 103, we get 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 16

Advancing to step 4:
If we divide 79 by 16, we get 4 and a remainder of 15.
Use 4 as the next digit of our solution. 
Result so far: 64.0
Deduct 64 from 79 and we're left with 15.
Take the next digit (6) from the dividend and append it to 15, then repeat: 156 / 16

Going ahead to step 5:
When dividing 156 by 16, we get 9 with a remainder of 12.
The number 9 becomes the next digit in our result. 
Result so far: 649.0
Deduct 144 from 156 and we're left with 12.
Fetch the next digit (1) from the dividend, attach it to 12 and continue: 121 / 16

On to step 6:
When dividing 121 by 16, we get 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 6497.0
Subtract 112 from 121 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
When dividing 90 by 16, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 6497.5
If we subtract 80 from 90, 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.

On to 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: 6497.56
Subtracting 96 from 100 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.

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: 6497.562
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.

Moving on to step 10:
16 can be fit into 80 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 6497.5625
If we take 80 away from 80, 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.

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: 6497.5625
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.

Moving on to step 12:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 6497.5625
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.

Our division results in 6497.5625 with a remaining 0.0.