Let's divide 508903 by 66
We're looking to find how many times 66 goes into 508903.

Going ahead to step 1:
If we divide 5 by 66, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 66

Step 2:
If we divide 50 by 66, we get 0 and a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 50 and we're left with 50.
Bring next digit (8) of the dividend behind the 50 and repeat the process: 508 / 66

Let's proceed to step 3:
When dividing 508 by 66, we get 7 with a remainder of 46.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 462 from 508 and we're left with 46.
Include the next digit (9) from the dividend after 46, then repeat: 469 / 66

On to step 4:
If we divide 469 by 66, we get 7 and a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 77.0
If we take 462 away from 469, we end up with 7.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 66

On to step 5:
66 goes into 70 1 times with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 771.0
Subtracting 66 from 70 leaves us with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 66

Advancing to step 6:
When dividing 43 by 66, we get 0 with a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 7710.0
The remainder is 43 after subtracting 0 from 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 7:
66 can be fit into 430 6 times, resulting in a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 7710.6
Subtract 396 from 430 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 8:
When dividing 340 by 66, we get 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 7710.65
If we subtract 330 from 340, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
66 can be fit into 100 1 times, resulting in a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 7710.651
Subtracting 66 from 100 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 10:
The number 66 fits into 340 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 7710.6515
Deduct 330 from 340 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
100 divided by 66 is 1 with a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 7710.65151
Subtract 66 from 100 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 12:
The number 66 fits into 340 5 times, leaving a remainder of 10.
The next digit of our result is 5. 
Result so far: 7710.651515
If we take 330 away from 340, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
100 divided by 66 is 1 with a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 7710.6515151
Deduct 66 from 100 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 14:
66 goes into 340 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 7710.65151515
If we subtract 330 from 340, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 7710.65151515 and a remainder of 1e-08.