Let's divide 138603 by 16
We're looking to find how many times 16 goes into 138603.

Step 1:
16 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 16

On to step 2:
When dividing 13 by 16, we get 0 with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Bring next digit (8) of the dividend behind the 13 and repeat the process: 138 / 16

Step 3:
If we divide 138 by 16, we get 8 and a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtract 128 from 138 to get 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 16

Let's proceed to step 4:
When dividing 106 by 16, we get 6 with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 86.0
Subtract 96 from 106 to get 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 16

On to step 5:
16 goes into 100 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 866.0
Deduct 96 from 100 and we're left with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 16

Going ahead to step 6:
16 can be fit into 43 2 times, resulting in a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 8662.0
Subtracting 32 from 43 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
16 goes into 110 6 times with a remainder of 14.
The next digit of our result is 6. 
Result so far: 8662.6
Deduct 96 from 110 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.

Advancing to step 8:
16 can be fit into 140 8 times, resulting in a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 8662.68
The remainder is 12 after subtracting 128 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
The number 16 fits into 120 7 times, leaving a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 8662.687
Deduct 112 from 120 and we're left 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.

Advancing to step 10:
16 goes into 80 5 times with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 8662.6875
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.

Let's proceed to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 8662.6875
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.

Let's proceed to 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: 8662.6875
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.

The final outcome is 8662.6875, with a leftover of 0.0.