10768288 ÷ 946 
The aim is to understand the frequency of 946 in 10768288.

Step 1:
If we divide 1 by 946, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 946

Moving on to step 2:
10 divided by 946 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 946

On to step 3:
946 can be fit into 107 0 times, resulting in a remainder of 107.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 107 leaves us with 107.
Include the next digit (6) from the dividend after 107, then repeat: 1076 / 946

Moving on to step 4:
When dividing 1076 by 946, we get 1 with a remainder of 130.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 130 after subtracting 946 from 1076.
Include the next digit (8) from the dividend after 130, then repeat: 1308 / 946

Step 5:
When dividing 1308 by 946, we get 1 with a remainder of 362.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we subtract 946 from 1308, we get 362.
Include the next digit (2) from the dividend after 362, then repeat: 3622 / 946

Let's proceed to step 6:
If we divide 3622 by 946, we get 3 and a remainder of 784.
The number 3 becomes the next digit in our result. 
Result so far: 113.0
If we take 2838 away from 3622, we end up with 784.
Fetch the next digit (8) from the dividend, attach it to 784 and continue: 7848 / 946

Advancing to step 7:
When dividing 7848 by 946, we get 8 with a remainder of 280.
The number 8 becomes the next digit in our result. 
Result so far: 1138.0
Subtract 7568 from 7848 to get 280.
Append the next digit (8) from the dividend to 280 and continue with: 2808 / 946

Step 8:
946 can be fit into 2808 2 times, resulting in a remainder of 916.
The number 2 becomes the next digit in our result. 
Result so far: 11382.0
If we subtract 1892 from 2808, we get 916.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9160, and continue the process.

Step 9:
946 can be fit into 9160 9 times, resulting in a remainder of 646.
Record the quotient 9 as the next digit in the result. 
Result so far: 11382.9
Subtract 8514 from 9160 to get 646.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6460, and continue the process.

On to step 10:
946 can be fit into 6460 6 times, resulting in a remainder of 784.
Use 6 as the next digit of our solution. 
Result so far: 11382.96
Subtracting 5676 from 6460 leaves us with 784.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7840, and continue the process.

Step 11:
If we divide 7840 by 946, we get 8 and a remainder of 272.
Use 8 as the next digit of our solution. 
Result so far: 11382.968
Deduct 7568 from 7840 and we're left 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.

Going ahead to step 12:
946 can be fit into 2720 2 times, resulting in a remainder of 828.
The next digit of our result is 2. 
Result so far: 11382.9682
Deduct 1892 from 2720 and we're left with 828.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8280, and continue the process.

On to step 13:
946 can be fit into 8280 8 times, resulting in a remainder of 712.
The number 8 becomes the next digit in our result. 
Result so far: 11382.96828
Deduct 7568 from 8280 and we're left with 712.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7120, and continue the process.

Moving on to step 14:
946 goes into 7120 7 times with a remainder of 498.
Put 7 as the next digit of the answer. 
Result so far: 11382.968287
Subtract 6622 from 7120 to get 498.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4980, and continue the process.

Step 15:
946 goes into 4980 5 times with a remainder of 250.
Use 5 as the next digit of our solution. 
Result so far: 11382.9682875
If we take 4730 away from 4980, we end up with 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

Moving on to step 16:
If we divide 2500 by 946, we get 2 and a remainder of 608.
Put 2 as the next digit of the answer. 
Result so far: 11382.96828752
If we take 1892 away from 2500, we end up with 608.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6080, and continue the process.

The quotient of the division is 11382.96828752, and the remainder is 6.08e-07.