37748 divided by 16 
Let's see how many times 16 fits into 37748.

Step 1:
3 divided by 16 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 16

Going ahead to step 2:
16 goes into 37 2 times with a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 5 after subtracting 32 from 37.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 16

Let's proceed to step 3:
When dividing 57 by 16, we get 3 with a remainder of 9.
The next digit of our result is 3. 
Result so far: 23.0
The remainder is 9 after subtracting 48 from 57.
Include the next digit (4) from the dividend after 9, then repeat: 94 / 16

Advancing to step 4:
16 can be fit into 94 5 times, resulting in a remainder of 14.
The number 5 becomes the next digit in our result. 
Result so far: 235.0
Deduct 80 from 94 and we're left with 14.
Append the next digit (8) from the dividend to 14 and continue with: 148 / 16

Advancing to step 5:
If we divide 148 by 16, we get 9 and a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 2359.0
If we subtract 144 from 148, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 6:
16 goes into 40 2 times with a remainder of 8.
The next digit of our result is 2. 
Result so far: 2359.2
Subtracting 32 from 40 leaves us 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.

Going ahead to step 7:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 2359.25
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.

Moving on to step 8:
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: 2359.25
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.

Step 9:
0 divided by 16 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 2359.25
If we subtract 0 from 0, we 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.

In conclusion, the division gives 2359.25 with a balance of 0.0.