5623254 ÷ 966 
The aim is to understand the frequency of 966 in 5623254.

Advancing to step 1:
966 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 966

On to step 2:
56 divided by 966 is 0 with a remainder of 56.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 56 leaves us with 56.
Bring next digit (2) of the dividend behind the 56 and repeat the process: 562 / 966

Step 3:
When dividing 562 by 966, we get 0 with a remainder of 562.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 562 and we're left with 562.
Fetch the next digit (3) from the dividend, attach it to 562 and continue: 5623 / 966

On to step 4:
966 goes into 5623 5 times with a remainder of 793.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 4830 from 5623 to get 793.
Fetch the next digit (2) from the dividend, attach it to 793 and continue: 7932 / 966

Going ahead to step 5:
966 can be fit into 7932 8 times, resulting in a remainder of 204.
Write down 8 as next digit of the result. 
Result so far: 58.0
If we subtract 7728 from 7932, we get 204.
Fetch the next digit (5) from the dividend, attach it to 204 and continue: 2045 / 966

Advancing to step 6:
The number 966 fits into 2045 2 times, leaving a remainder of 113.
The next digit of our result is 2. 
Result so far: 582.0
Subtract 1932 from 2045 to get 113.
Grab the next digit (4) from the dividend, add it to 113, then carry on: 1134 / 966

Advancing to step 7:
If we divide 1134 by 966, we get 1 and a remainder of 168.
The number 1 becomes the next digit in our result. 
Result so far: 5821.0
If we take 966 away from 1134, we end up with 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Going ahead to step 8:
When dividing 1680 by 966, we get 1 with a remainder of 714.
Use 1 as the next digit of our solution. 
Result so far: 5821.1
Subtract 966 from 1680 to get 714.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7140, and continue the process.

Going ahead to step 9:
If we divide 7140 by 966, we get 7 and a remainder of 378.
The number 7 becomes the next digit in our result. 
Result so far: 5821.17
Subtracting 6762 from 7140 leaves us with 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

Let's proceed to step 10:
966 can be fit into 3780 3 times, resulting in a remainder of 882.
The number 3 becomes the next digit in our result. 
Result so far: 5821.173
Deduct 2898 from 3780 and we're left with 882.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8820, and continue the process.

Step 11:
966 can be fit into 8820 9 times, resulting in a remainder of 126.
Write down 9 as next digit of the result. 
Result so far: 5821.1739
Deduct 8694 from 8820 and we're left with 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

Step 12:
1260 divided by 966 is 1 with a remainder of 294.
Write down 1 as next digit of the result. 
Result so far: 5821.17391
If we take 966 away from 1260, we end up with 294.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2940, and continue the process.

On to step 13:
If we divide 2940 by 966, we get 3 and a remainder of 42.
The number 3 becomes the next digit in our result. 
Result so far: 5821.173913
If we subtract 2898 from 2940, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 14:
420 divided by 966 is 0 with a remainder of 420.
The number 0 becomes the next digit in our result. 
Result so far: 5821.173913
Deduct 0 from 420 and we're left with 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Advancing to step 15:
When dividing 4200 by 966, we get 4 with a remainder of 336.
Record the quotient 4 as the next digit in the result. 
Result so far: 5821.17391304
If we take 3864 away from 4200, we end up with 336.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3360, and continue the process.

In conclusion, the division gives 5821.17391304 with a balance of 3.36e-07.