We divide 65635783 by 506
We're looking to find how many times 506 goes into 65635783.

Going ahead to step 1:
If we divide 6 by 506, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 506

Let's proceed to step 2:
506 can be fit into 65 0 times, resulting in a remainder of 65.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 65 and we're left with 65.
Bring next digit (6) of the dividend behind the 65 and repeat the process: 656 / 506

On to step 3:
506 can be fit into 656 1 times, resulting in a remainder of 150.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 506 from 656, we get 150.
Include the next digit (3) from the dividend after 150, then repeat: 1503 / 506

Moving on to step 4:
If we divide 1503 by 506, we get 2 and a remainder of 491.
Put 2 as the next digit of the answer. 
Result so far: 12.0
The remainder is 491 after subtracting 1012 from 1503.
Bring next digit (5) of the dividend behind the 491 and repeat the process: 4915 / 506

Advancing to step 5:
If we divide 4915 by 506, we get 9 and a remainder of 361.
Use 9 as the next digit of our solution. 
Result so far: 129.0
Deduct 4554 from 4915 and we're left with 361.
Grab the next digit (7) from the dividend, add it to 361, then carry on: 3617 / 506

Advancing to step 6:
3617 divided by 506 is 7 with a remainder of 75.
Use 7 as the next digit of our solution. 
Result so far: 1297.0
Subtract 3542 from 3617 to get 75.
Bring next digit (8) of the dividend behind the 75 and repeat the process: 758 / 506

Going ahead to step 7:
When dividing 758 by 506, we get 1 with a remainder of 252.
Put 1 as the next digit of the answer. 
Result so far: 12971.0
Subtract 506 from 758 to get 252.
Append the next digit (3) from the dividend to 252 and continue with: 2523 / 506

Step 8:
If we divide 2523 by 506, we get 4 and a remainder of 499.
Write down 4 as next digit of the result. 
Result so far: 129714.0
Subtract 2024 from 2523 to get 499.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4990, and continue the process.

Moving on to step 9:
If we divide 4990 by 506, we get 9 and a remainder of 436.
Put 9 as the next digit of the answer. 
Result so far: 129714.9
If we take 4554 away from 4990, we end up with 436.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4360, and continue the process.

Going ahead to step 10:
506 can be fit into 4360 8 times, resulting in a remainder of 312.
Write down 8 as next digit of the result. 
Result so far: 129714.98
Subtracting 4048 from 4360 leaves us with 312.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3120, and continue the process.

Step 11:
When dividing 3120 by 506, we get 6 with a remainder of 84.
Record the quotient 6 as the next digit in the result. 
Result so far: 129714.986
Subtract 3036 from 3120 to get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

On to step 12:
When dividing 840 by 506, we get 1 with a remainder of 334.
Use 1 as the next digit of our solution. 
Result so far: 129714.9861
Subtract 506 from 840 to get 334.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3340, and continue the process.

Step 13:
506 can be fit into 3340 6 times, resulting in a remainder of 304.
Write down 6 as next digit of the result. 
Result so far: 129714.98616
The remainder is 304 after subtracting 3036 from 3340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

Advancing to step 14:
506 goes into 3040 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 129714.986166
If we take 3036 away from 3040, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 129714.986166 with a balance of 4e-07.