10669761 divided by 508 
The aim is to understand the frequency of 508 in 10669761.

Step 1:
When dividing 1 by 508, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 508

Let's proceed to step 2:
508 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 508

Moving on to step 3:
508 can be fit into 106 0 times, resulting in a remainder of 106.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 106, we get 106.
Include the next digit (6) from the dividend after 106, then repeat: 1066 / 508

Step 4:
508 goes into 1066 2 times with a remainder of 50.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 1016 from 1066 to get 50.
Include the next digit (9) from the dividend after 50, then repeat: 509 / 508

Let's proceed to step 5:
509 divided by 508 is 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 21.0
If we take 508 away from 509, we end up with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 508

Going ahead to step 6:
If we divide 17 by 508, we get 0 and a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 210.0
Subtract 0 from 17 to get 17.
Append the next digit (6) from the dividend to 17 and continue with: 176 / 508

On to step 7:
When dividing 176 by 508, we get 0 with a remainder of 176.
The next digit of our result is 0. 
Result so far: 2100.0
Subtracting 0 from 176 leaves us with 176.
Fetch the next digit (1) from the dividend, attach it to 176 and continue: 1761 / 508

Moving on to step 8:
The number 508 fits into 1761 3 times, leaving a remainder of 237.
The number 3 becomes the next digit in our result. 
Result so far: 21003.0
Subtracting 1524 from 1761 leaves us with 237.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2370, and continue the process.

Advancing to step 9:
508 can be fit into 2370 4 times, resulting in a remainder of 338.
Record the quotient 4 as the next digit in the result. 
Result so far: 21003.4
The remainder is 338 after subtracting 2032 from 2370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3380, and continue the process.

Moving on to step 10:
If we divide 3380 by 508, we get 6 and a remainder of 332.
Record the quotient 6 as the next digit in the result. 
Result so far: 21003.46
Deduct 3048 from 3380 and we're left with 332.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3320, and continue the process.

Moving on to step 11:
508 can be fit into 3320 6 times, resulting in a remainder of 272.
Put 6 as the next digit of the answer. 
Result so far: 21003.466
Subtracting 3048 from 3320 leaves us with 272.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2720, and continue the process.

The quotient of the division is 21003.466, and the remainder is 0.0272.