We look at the division of 37748 by 77 
We want to figure out the number of times 37748 can be divided by 77.

Let's proceed to step 1:
The number 77 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 77

Advancing to step 2:
37 divided by 77 is 0 with a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Take the next digit (7) from the dividend and append it to 37, then repeat: 377 / 77

Moving on to step 3:
77 goes into 377 4 times with a remainder of 69.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 308 from 377 leaves us with 69.
Include the next digit (4) from the dividend after 69, then repeat: 694 / 77

On to step 4:
77 goes into 694 9 times with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 49.0
Subtract 693 from 694 to get 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 77

Step 5:
If we divide 18 by 77, we get 0 and a remainder of 18.
Record the quotient 0 as the next digit in the result. 
Result so far: 490.0
The remainder is 18 after subtracting 0 from 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 6:
If we divide 180 by 77, we get 2 and a remainder of 26.
The next digit of our result is 2. 
Result so far: 490.2
Subtract 154 from 180 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 7:
The number 77 fits into 260 3 times, leaving a remainder of 29.
The next digit of our result is 3. 
Result so far: 490.23
Deduct 231 from 260 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 8:
77 can be fit into 290 3 times, resulting in a remainder of 59.
Put 3 as the next digit of the answer. 
Result so far: 490.233
Subtract 231 from 290 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

After the division, we end up with 490.233 and a remainder of 0.0059.