We're dividing 37308 by 55 
Our goal is to divide 37308 by 55.

Step 1:
55 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 55

Let's proceed to step 2:
55 can be fit into 37 0 times, resulting in a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 37 to get 37.
Bring next digit (3) of the dividend behind the 37 and repeat the process: 373 / 55

Step 3:
55 can be fit into 373 6 times, resulting in a remainder of 43.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtract 330 from 373 to get 43.
Include the next digit (0) from the dividend after 43, then repeat: 430 / 55

On to step 4:
If we divide 430 by 55, we get 7 and a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 67.0
If we take 385 away from 430, we end up with 45.
Bring next digit (8) of the dividend behind the 45 and repeat the process: 458 / 55

On to step 5:
55 goes into 458 8 times with a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 678.0
If we subtract 440 from 458, we get 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 55, we get 3 and a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 678.3
Subtract 165 from 180 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
If we divide 150 by 55, we get 2 and a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 678.32
Subtracting 110 from 150 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
The number 55 fits into 400 7 times, leaving a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 678.327
If we subtract 385 from 400, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 9:
150 divided by 55 is 2 with a remainder of 40.
Record the quotient 2 as the next digit in the result. 
Result so far: 678.3272
If we subtract 110 from 150, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 10:
When dividing 400 by 55, we get 7 with a remainder of 15.
The next digit of our result is 7. 
Result so far: 678.32727
Subtracting 385 from 400 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 11:
The number 55 fits into 150 2 times, leaving a remainder of 40.
Use 2 as the next digit of our solution. 
Result so far: 678.327272
If we subtract 110 from 150, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 12:
55 can be fit into 400 7 times, resulting in a remainder of 15.
Put 7 as the next digit of the answer. 
Result so far: 678.3272727
Subtract 385 from 400 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 13:
55 can be fit into 150 2 times, resulting in a remainder of 40.
The next digit of our result is 2. 
Result so far: 678.32727272
Subtracting 110 from 150 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 678.32727272 with a remainder of 4e-08.