We divide 686903 by 16
We're looking to find how many times 16 goes into 686903.

On to step 1:
When dividing 6 by 16, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 16

Going ahead to step 2:
If we divide 68 by 16, we get 4 and a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 64 from 68 and we're left with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 16

On to step 3:
If we divide 46 by 16, we get 2 and a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 42.0
Deduct 32 from 46 and we're left with 14.
Append the next digit (9) from the dividend to 14 and continue with: 149 / 16

Going ahead to step 4:
If we divide 149 by 16, we get 9 and a remainder of 5.
Put 9 as the next digit of the answer. 
Result so far: 429.0
Subtract 144 from 149 to get 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 16

Going ahead to step 5:
16 can be fit into 50 3 times, resulting in a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 4293.0
Deduct 48 from 50 and we're left with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 16

Moving on to step 6:
If we divide 23 by 16, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 42931.0
Deduct 16 from 23 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
16 goes into 70 4 times with a remainder of 6.
The next digit of our result is 4. 
Result so far: 42931.4
Subtracting 64 from 70 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
When dividing 60 by 16, we get 3 with a remainder of 12.
The next digit of our result is 3. 
Result so far: 42931.43
The remainder is 12 after subtracting 48 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
16 goes into 120 7 times with a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 42931.437
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.

Let's proceed to step 10:
When dividing 80 by 16, we get 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 42931.4375
Subtracting 80 from 80 leaves us 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.

Let's proceed to step 11:
0 divided by 16 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 42931.4375
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:
16 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 42931.4375
Subtracting 0 from 0 leaves us 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 outcome is 42931.4375, with a leftover of 0.0.