We're dividing 577507 by 55 
We're looking to find how many times 55 goes into 577507.

On to step 1:
55 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 55

Moving on to step 2:
55 goes into 57 1 times with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 55 from 57 leaves us with 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 55

Moving on to step 3:
55 can be fit into 27 0 times, resulting in a remainder of 27.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 27 and we're left with 27.
Include the next digit (5) from the dividend after 27, then repeat: 275 / 55

Step 4:
When dividing 275 by 55, we get 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 105.0
Deduct 275 from 275 and we're left with 0.
Take the next digit (0) from the dividend and append it to 0, then repeat: 0 / 55

Advancing to step 5:
When dividing 0 by 55, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 1050.0
Subtracting 0 from 0 leaves us with 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 55

Advancing to step 6:
When dividing 7 by 55, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 10500.0
If we subtract 0 from 7, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
When dividing 70 by 55, we get 1 with a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 10500.1
If we take 55 away from 70, we end up 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.

On to step 8:
55 goes into 150 2 times with a remainder of 40.
The next digit of our result is 2. 
Result so far: 10500.12
Deduct 110 from 150 and we're left 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.

Advancing to step 9:
55 goes into 400 7 times with a remainder of 15.
The next digit of our result is 7. 
Result so far: 10500.127
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.

Let's proceed to step 10:
55 goes into 150 2 times with a remainder of 40.
The next digit of our result is 2. 
Result so far: 10500.1272
Subtract 110 from 150 to 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.

Moving on to step 11:
When dividing 400 by 55, we get 7 with a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 10500.12727
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.

Let's proceed to step 12:
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: 10500.127272
Deduct 110 from 150 and we're left 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.

Advancing to step 13:
55 goes into 400 7 times with a remainder of 15.
Put 7 as the next digit of the answer. 
Result so far: 10500.1272727
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.

Advancing to step 14:
The number 55 fits into 150 2 times, leaving a remainder of 40.
Write down 2 as next digit of the result. 
Result so far: 10500.12727272
Deduct 110 from 150 and we're left 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.

In conclusion, the division gives 10500.12727272 with a balance of 4e-08.