65661603 ÷ 508 
Our goal is to divide 65661603 by 508.

Advancing to step 1:
508 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 508

Moving on to step 2:
508 can be fit into 65 0 times, resulting in a remainder of 65.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 65 after subtracting 0 from 65.
Append the next digit (6) from the dividend to 65 and continue with: 656 / 508

On to step 3:
If we divide 656 by 508, we get 1 and a remainder of 148.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 148 after subtracting 508 from 656.
Append the next digit (6) from the dividend to 148 and continue with: 1486 / 508

Going ahead to step 4:
When dividing 1486 by 508, we get 2 with a remainder of 470.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we subtract 1016 from 1486, we get 470.
Include the next digit (1) from the dividend after 470, then repeat: 4701 / 508

Going ahead to step 5:
When dividing 4701 by 508, we get 9 with a remainder of 129.
The number 9 becomes the next digit in our result. 
Result so far: 129.0
If we subtract 4572 from 4701, we get 129.
Include the next digit (6) from the dividend after 129, then repeat: 1296 / 508

Let's proceed to step 6:
508 goes into 1296 2 times with a remainder of 280.
Put 2 as the next digit of the answer. 
Result so far: 1292.0
The remainder is 280 after subtracting 1016 from 1296.
Append the next digit (0) from the dividend to 280 and continue with: 2800 / 508

Step 7:
If we divide 2800 by 508, we get 5 and a remainder of 260.
Record the quotient 5 as the next digit in the result. 
Result so far: 12925.0
Deduct 2540 from 2800 and we're left with 260.
Append the next digit (3) from the dividend to 260 and continue with: 2603 / 508

Advancing to step 8:
The number 508 fits into 2603 5 times, leaving a remainder of 63.
Record the quotient 5 as the next digit in the result. 
Result so far: 129255.0
Subtract 2540 from 2603 to get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Let's proceed to step 9:
508 can be fit into 630 1 times, resulting in a remainder of 122.
The number 1 becomes the next digit in our result. 
Result so far: 129255.1
If we subtract 508 from 630, we get 122.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1220, and continue the process.

Going ahead to step 10:
508 goes into 1220 2 times with a remainder of 204.
Record the quotient 2 as the next digit in the result. 
Result so far: 129255.12
If we subtract 1016 from 1220, we get 204.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2040, and continue the process.

Let's proceed to step 11:
2040 divided by 508 is 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 129255.124
If we take 2032 away from 2040, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 12:
The number 508 fits into 80 0 times, leaving a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 129255.124
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 13:
800 divided by 508 is 1 with a remainder of 292.
Write down 1 as next digit of the result. 
Result so far: 129255.12401
The remainder is 292 after subtracting 508 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2920, and continue the process.

Going ahead to step 14:
2920 divided by 508 is 5 with a remainder of 380.
The number 5 becomes the next digit in our result. 
Result so far: 129255.124015
Subtracting 2540 from 2920 leaves us with 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3800, and continue the process.

Let's proceed to step 15:
If we divide 3800 by 508, we get 7 and a remainder of 244.
Write down 7 as next digit of the result. 
Result so far: 129255.1240157
The remainder is 244 after subtracting 3556 from 3800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2440, and continue the process.

Let's proceed to step 16:
508 can be fit into 2440 4 times, resulting in a remainder of 408.
Use 4 as the next digit of our solution. 
Result so far: 129255.12401574
Subtracting 2032 from 2440 leaves us with 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4080, and continue the process.

The final outcome is 129255.12401574, with a leftover of 4.08e-07.