We're dividing 107003 by 16 
Let's see how many times 16 fits into 107003.

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
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 16

Going ahead to step 2:
16 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 16

Let's proceed to step 3:
16 can be fit into 107 6 times, resulting in a remainder of 11.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 96 from 107 and we're left with 11.
Include the next digit (0) from the dividend after 11, then repeat: 110 / 16

Going ahead to step 4:
The number 16 fits into 110 6 times, leaving a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 66.0
Subtract 96 from 110 to get 14.
Fetch the next digit (0) from the dividend, attach it to 14 and continue: 140 / 16

Going ahead to step 5:
When dividing 140 by 16, we get 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 668.0
Deduct 128 from 140 and we're left with 12.
Include the next digit (3) from the dividend after 12, then repeat: 123 / 16

Advancing to step 6:
16 goes into 123 7 times with a remainder of 11.
The next digit of our result is 7. 
Result so far: 6687.0
The remainder is 11 after subtracting 112 from 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
When dividing 110 by 16, we get 6 with a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 6687.6
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.

Step 8:
When dividing 140 by 16, we get 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 6687.68
Deduct 128 from 140 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
120 divided by 16 is 7 with a remainder of 8.
The next digit of our result is 7. 
Result so far: 6687.687
The remainder is 8 after subtracting 112 from 120.
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: 6687.6875
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.

Advancing to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 6687.6875
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.

Step 12:
When dividing 0 by 16, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 6687.6875
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.

The final result is 6687.6875 with a remainder of 0.0.