11211409 divided by 946 
The aim is to understand the frequency of 946 in 11211409.

Going ahead to step 1:
When dividing 1 by 946, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 946

Moving on to step 2:
The number 946 fits into 11 0 times, leaving a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 946

Advancing to step 3:
The number 946 fits into 112 0 times, leaving a remainder of 112.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 112 leaves us with 112.
Take the next digit (1) from the dividend and append it to 112, then repeat: 1121 / 946

Step 4:
1121 divided by 946 is 1 with a remainder of 175.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 175 after subtracting 946 from 1121.
Include the next digit (1) from the dividend after 175, then repeat: 1751 / 946

On to step 5:
946 goes into 1751 1 times with a remainder of 805.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we take 946 away from 1751, we end up with 805.
Fetch the next digit (4) from the dividend, attach it to 805 and continue: 8054 / 946

On to step 6:
The number 946 fits into 8054 8 times, leaving a remainder of 486.
Put 8 as the next digit of the answer. 
Result so far: 118.0
Deduct 7568 from 8054 and we're left with 486.
Take the next digit (0) from the dividend and append it to 486, then repeat: 4860 / 946

On to step 7:
The number 946 fits into 4860 5 times, leaving a remainder of 130.
Write down 5 as next digit of the result. 
Result so far: 1185.0
Subtracting 4730 from 4860 leaves us with 130.
Append the next digit (9) from the dividend to 130 and continue with: 1309 / 946

Moving on to step 8:
When dividing 1309 by 946, we get 1 with a remainder of 363.
Write down 1 as next digit of the result. 
Result so far: 11851.0
If we subtract 946 from 1309, we get 363.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3630, and continue the process.

Going ahead to step 9:
946 can be fit into 3630 3 times, resulting in a remainder of 792.
Put 3 as the next digit of the answer. 
Result so far: 11851.3
Deduct 2838 from 3630 and we're left with 792.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7920, and continue the process.

Let's proceed to step 10:
7920 divided by 946 is 8 with a remainder of 352.
The number 8 becomes the next digit in our result. 
Result so far: 11851.38
The remainder is 352 after subtracting 7568 from 7920.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3520, and continue the process.

On to step 11:
946 goes into 3520 3 times with a remainder of 682.
The number 3 becomes the next digit in our result. 
Result so far: 11851.383
Deduct 2838 from 3520 and we're left with 682.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6820, and continue the process.

On to step 12:
946 can be fit into 6820 7 times, resulting in a remainder of 198.
Record the quotient 7 as the next digit in the result. 
Result so far: 11851.3837
If we take 6622 away from 6820, we end up with 198.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1980, and continue the process.

Advancing to step 13:
When dividing 1980 by 946, we get 2 with a remainder of 88.
Record the quotient 2 as the next digit in the result. 
Result so far: 11851.38372
Subtract 1892 from 1980 to get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Moving on to step 14:
The number 946 fits into 880 0 times, leaving a remainder of 880.
Use 0 as the next digit of our solution. 
Result so far: 11851.38372
Subtracting 0 from 880 leaves us with 880.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8800, and continue the process.

Going ahead to step 15:
946 can be fit into 8800 9 times, resulting in a remainder of 286.
Write down 9 as next digit of the result. 
Result so far: 11851.3837209
Deduct 8514 from 8800 and we're left with 286.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2860, and continue the process.

Going ahead to step 16:
2860 divided by 946 is 3 with a remainder of 22.
The next digit of our result is 3. 
Result so far: 11851.38372093
If we subtract 2838 from 2860, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Our division results in 11851.38372093 with a remaining 2.2e-08.