We're dividing 65588708 by 511 
We're looking to find how many times 511 goes into 65588708.

Step 1:
The number 511 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 511

On to step 2:
When dividing 65 by 511, we get 0 with a remainder of 65.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 65, we get 65.
Bring next digit (5) of the dividend behind the 65 and repeat the process: 655 / 511

Let's proceed to step 3:
The number 511 fits into 655 1 times, leaving a remainder of 144.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 511 from 655, we get 144.
Grab the next digit (8) from the dividend, add it to 144, then carry on: 1448 / 511

Advancing to step 4:
When dividing 1448 by 511, we get 2 with a remainder of 426.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtracting 1022 from 1448 leaves us with 426.
Include the next digit (8) from the dividend after 426, then repeat: 4268 / 511

Going ahead to step 5:
If we divide 4268 by 511, we get 8 and a remainder of 180.
Put 8 as the next digit of the answer. 
Result so far: 128.0
Deduct 4088 from 4268 and we're left with 180.
Take the next digit (7) from the dividend and append it to 180, then repeat: 1807 / 511

Step 6:
The number 511 fits into 1807 3 times, leaving a remainder of 274.
Use 3 as the next digit of our solution. 
Result so far: 1283.0
The remainder is 274 after subtracting 1533 from 1807.
Include the next digit (0) from the dividend after 274, then repeat: 2740 / 511

Step 7:
When dividing 2740 by 511, we get 5 with a remainder of 185.
The number 5 becomes the next digit in our result. 
Result so far: 12835.0
If we subtract 2555 from 2740, we get 185.
Grab the next digit (8) from the dividend, add it to 185, then carry on: 1858 / 511

Advancing to step 8:
511 goes into 1858 3 times with a remainder of 325.
Use 3 as the next digit of our solution. 
Result so far: 128353.0
If we subtract 1533 from 1858, we get 325.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3250, and continue the process.

Let's proceed to step 9:
When dividing 3250 by 511, we get 6 with a remainder of 184.
Record the quotient 6 as the next digit in the result. 
Result so far: 128353.6
If we subtract 3066 from 3250, we get 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

Step 10:
When dividing 1840 by 511, we get 3 with a remainder of 307.
Put 3 as the next digit of the answer. 
Result so far: 128353.63
The remainder is 307 after subtracting 1533 from 1840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3070, and continue the process.

Advancing to step 11:
3070 divided by 511 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 128353.636
Subtract 3066 from 3070 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 12:
If we divide 40 by 511, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 128353.636
Subtract 0 from 40 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.

Step 13:
511 goes into 400 0 times with a remainder of 400.
Put 0 as the next digit of the answer. 
Result so far: 128353.636
If we subtract 0 from 400, we get 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

In conclusion, the division gives 128353.636 with a balance of 0.0004.