We look at the division of 11761583 by 966 
The aim is to understand the frequency of 966 in 11761583.

On to step 1:
If we divide 1 by 966, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 966

Let's proceed to step 2:
The number 966 fits into 11 0 times, leaving a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Take the next digit (7) from the dividend and append it to 11, then repeat: 117 / 966

Advancing to step 3:
966 can be fit into 117 0 times, resulting in a remainder of 117.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 117 and we're left with 117.
Bring next digit (6) of the dividend behind the 117 and repeat the process: 1176 / 966

Moving on to step 4:
1176 divided by 966 is 1 with a remainder of 210.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 966 from 1176 leaves us with 210.
Append the next digit (1) from the dividend to 210 and continue with: 2101 / 966

Let's proceed to step 5:
966 goes into 2101 2 times with a remainder of 169.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we take 1932 away from 2101, we end up with 169.
Bring next digit (5) of the dividend behind the 169 and repeat the process: 1695 / 966

Let's proceed to step 6:
The number 966 fits into 1695 1 times, leaving a remainder of 729.
The next digit of our result is 1. 
Result so far: 121.0
The remainder is 729 after subtracting 966 from 1695.
Include the next digit (8) from the dividend after 729, then repeat: 7298 / 966

Let's proceed to step 7:
When dividing 7298 by 966, we get 7 with a remainder of 536.
Write down 7 as next digit of the result. 
Result so far: 1217.0
Subtracting 6762 from 7298 leaves us with 536.
Include the next digit (3) from the dividend after 536, then repeat: 5363 / 966

Advancing to step 8:
If we divide 5363 by 966, we get 5 and a remainder of 533.
Use 5 as the next digit of our solution. 
Result so far: 12175.0
Subtract 4830 from 5363 to get 533.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5330, and continue the process.

Advancing to step 9:
The number 966 fits into 5330 5 times, leaving a remainder of 500.
Use 5 as the next digit of our solution. 
Result so far: 12175.5
Subtract 4830 from 5330 to get 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

On to step 10:
966 can be fit into 5000 5 times, resulting in a remainder of 170.
Put 5 as the next digit of the answer. 
Result so far: 12175.55
Deduct 4830 from 5000 and we're left with 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1700, and continue the process.

The quotient of the division is 12175.55, and the remainder is 0.17.