We look at the division of 138472 by 16 
We're looking to find how many times 16 goes into 138472.

Step 1:
If we divide 1 by 16, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 16

Step 2:
When dividing 13 by 16, we get 0 with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Fetch the next digit (8) from the dividend, attach it to 13 and continue: 138 / 16

Advancing to step 3:
138 divided by 16 is 8 with a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 128 from 138 and we're left with 10.
Take the next digit (4) from the dividend and append it to 10, then repeat: 104 / 16

Let's proceed to step 4:
When dividing 104 by 16, we get 6 with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 86.0
Subtracting 96 from 104 leaves us with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 16

On to step 5:
When dividing 87 by 16, we get 5 with a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 865.0
The remainder is 7 after subtracting 80 from 87.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 16

Advancing to step 6:
The number 16 fits into 72 4 times, leaving a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 8654.0
If we subtract 64 from 72, 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.

Step 7:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 8654.5
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.

Advancing to step 8:
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: 8654.5
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.

On to step 9:
16 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 8654.5
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.

The quotient of the division is 8654.5, and the remainder is 0.0.