3732608 divided by 577 
Let's see how many times 577 fits into 3732608.

Step 1:
When dividing 3 by 577, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 577

Let's proceed to step 2:
37 divided by 577 is 0 with a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Grab the next digit (3) from the dividend, add it to 37, then carry on: 373 / 577

Going ahead to step 3:
When dividing 373 by 577, we get 0 with a remainder of 373.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 373 leaves us with 373.
Bring next digit (2) of the dividend behind the 373 and repeat the process: 3732 / 577

On to step 4:
If we divide 3732 by 577, we get 6 and a remainder of 270.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 3462 from 3732, we get 270.
Append the next digit (6) from the dividend to 270 and continue with: 2706 / 577

Moving on to step 5:
If we divide 2706 by 577, we get 4 and a remainder of 398.
Put 4 as the next digit of the answer. 
Result so far: 64.0
Deduct 2308 from 2706 and we're left with 398.
Append the next digit (0) from the dividend to 398 and continue with: 3980 / 577

On to step 6:
When dividing 3980 by 577, we get 6 with a remainder of 518.
The next digit of our result is 6. 
Result so far: 646.0
If we take 3462 away from 3980, we end up with 518.
Append the next digit (8) from the dividend to 518 and continue with: 5188 / 577

Advancing to step 7:
The number 577 fits into 5188 8 times, leaving a remainder of 572.
Put 8 as the next digit of the answer. 
Result so far: 6468.0
Subtracting 4616 from 5188 leaves us with 572.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5720, and continue the process.

Let's proceed to step 8:
If we divide 5720 by 577, we get 9 and a remainder of 527.
Put 9 as the next digit of the answer. 
Result so far: 6468.9
If we take 5193 away from 5720, we end up with 527.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5270, and continue the process.

Advancing to step 9:
577 can be fit into 5270 9 times, resulting in a remainder of 77.
The next digit of our result is 9. 
Result so far: 6468.99
The remainder is 77 after subtracting 5193 from 5270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

In conclusion, the division gives 6468.99 with a balance of 0.077.