We divide 377655 by 75
We want to figure out the number of times 377655 can be divided by 75.

Let's proceed to step 1:
3 divided by 75 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 75

Moving on to step 2:
37 divided by 75 is 0 with a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Fetch the next digit (7) from the dividend, attach it to 37 and continue: 377 / 75

Step 3:
When dividing 377 by 75, we get 5 with a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 375 away from 377, we end up with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 75

On to step 4:
75 goes into 26 0 times with a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 50.0
If we subtract 0 from 26, we get 26.
Bring next digit (5) of the dividend behind the 26 and repeat the process: 265 / 75

Let's proceed to step 5:
75 can be fit into 265 3 times, resulting in a remainder of 40.
The next digit of our result is 3. 
Result so far: 503.0
Subtracting 225 from 265 leaves us with 40.
Append the next digit (5) from the dividend to 40 and continue with: 405 / 75

Advancing to step 6:
When dividing 405 by 75, we get 5 with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 5035.0
If we subtract 375 from 405, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 7:
75 goes into 300 4 times with a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 5035.4
Deduct 300 from 300 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:
0 divided by 75 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 5035.4
If we take 0 away from 0, we end up 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.

Going ahead to step 9:
When dividing 0 by 75, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 5035.4
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 5035.4 with a balance of 0.0.