We look at the division of 337808 by 77 
Let's see how many times 77 fits into 337808.

Let's proceed to step 1:
The number 77 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 77

On to step 2:
The number 77 fits into 33 0 times, leaving a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Take the next digit (7) from the dividend and append it to 33, then repeat: 337 / 77

Moving on to step 3:
The number 77 fits into 337 4 times, leaving a remainder of 29.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 308 from 337 and we're left with 29.
Append the next digit (8) from the dividend to 29 and continue with: 298 / 77

Step 4:
77 can be fit into 298 3 times, resulting in a remainder of 67.
The next digit of our result is 3. 
Result so far: 43.0
Deduct 231 from 298 and we're left with 67.
Append the next digit (0) from the dividend to 67 and continue with: 670 / 77

Let's proceed to step 5:
77 goes into 670 8 times with a remainder of 54.
The next digit of our result is 8. 
Result so far: 438.0
If we subtract 616 from 670, we get 54.
Fetch the next digit (8) from the dividend, attach it to 54 and continue: 548 / 77

Let's proceed to step 6:
77 can be fit into 548 7 times, resulting in a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 4387.0
Subtracting 539 from 548 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
90 divided by 77 is 1 with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 4387.1
If we subtract 77 from 90, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 8:
The number 77 fits into 130 1 times, leaving a remainder of 53.
Record the quotient 1 as the next digit in the result. 
Result so far: 4387.11
Subtract 77 from 130 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

In conclusion, the division gives 4387.11 with a balance of 0.053.