87810585 ÷ 966 
The aim is to understand the frequency of 966 in 87810585.

Step 1:
When dividing 8 by 966, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 966

Advancing to step 2:
966 can be fit into 87 0 times, resulting in a remainder of 87.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 87, we get 87.
Grab the next digit (8) from the dividend, add it to 87, then carry on: 878 / 966

On to step 3:
If we divide 878 by 966, we get 0 and a remainder of 878.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 878, we end up with 878.
Take the next digit (1) from the dividend and append it to 878, then repeat: 8781 / 966

Advancing to step 4:
966 goes into 8781 9 times with a remainder of 87.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we take 8694 away from 8781, we end up with 87.
Take the next digit (0) from the dividend and append it to 87, then repeat: 870 / 966

Step 5:
966 can be fit into 870 0 times, resulting in a remainder of 870.
The next digit of our result is 0. 
Result so far: 90.0
Subtracting 0 from 870 leaves us with 870.
Append the next digit (5) from the dividend to 870 and continue with: 8705 / 966

Advancing to step 6:
966 goes into 8705 9 times with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 909.0
Subtracting 8694 from 8705 leaves us with 11.
Fetch the next digit (8) from the dividend, attach it to 11 and continue: 118 / 966

On to step 7:
The number 966 fits into 118 0 times, leaving a remainder of 118.
The number 0 becomes the next digit in our result. 
Result so far: 9090.0
Subtract 0 from 118 to get 118.
Fetch the next digit (5) from the dividend, attach it to 118 and continue: 1185 / 966

Advancing to step 8:
If we divide 1185 by 966, we get 1 and a remainder of 219.
Use 1 as the next digit of our solution. 
Result so far: 90901.0
Subtract 966 from 1185 to get 219.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2190, and continue the process.

Let's proceed to step 9:
If we divide 2190 by 966, we get 2 and a remainder of 258.
Record the quotient 2 as the next digit in the result. 
Result so far: 90901.2
If we subtract 1932 from 2190, we get 258.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2580, and continue the process.

Step 10:
2580 divided by 966 is 2 with a remainder of 648.
Put 2 as the next digit of the answer. 
Result so far: 90901.22
If we take 1932 away from 2580, we end up with 648.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6480, and continue the process.

The quotient of the division is 90901.22, and the remainder is 0.648.