We look at the division of 738 by 48 
We want to divide 738 by 48.

Let's proceed to step 1:
48 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (3) from the dividend after 7, then repeat: 73 / 48

Let's proceed to step 2:
48 can be fit into 73 1 times, resulting in a remainder of 25.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 48 from 73 and we're left with 25.
Append the next digit (8) from the dividend to 25 and continue with: 258 / 48

Going ahead to step 3:
258 divided by 48 is 5 with a remainder of 18.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
If we take 240 away from 258, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 4:
When dividing 180 by 48, we get 3 with a remainder of 36.
The next digit of our result is 3. 
Result so far: 15.3
The remainder is 36 after subtracting 144 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 5:
48 can be fit into 360 7 times, resulting in a remainder of 24.
Use 7 as the next digit of our solution. 
Result so far: 15.37
If we take 336 away from 360, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 6:
When dividing 240 by 48, we get 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 15.375
Subtract 240 from 240 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.

Going ahead to step 7:
0 divided by 48 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 15.375
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 8:
When dividing 0 by 48, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 15.375
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 final outcome is 15.375, with a leftover of 0.0.