We look at the division of 15669411 by 953 
The aim is to understand the frequency of 953 in 15669411.

Let's proceed to step 1:
If we divide 1 by 953, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 953

Advancing to step 2:
If we divide 15 by 953, we get 0 and a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Bring next digit (6) of the dividend behind the 15 and repeat the process: 156 / 953

Let's proceed to step 3:
156 divided by 953 is 0 with a remainder of 156.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 156, we end up with 156.
Append the next digit (6) from the dividend to 156 and continue with: 1566 / 953

Going ahead to step 4:
If we divide 1566 by 953, we get 1 and a remainder of 613.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 613 after subtracting 953 from 1566.
Include the next digit (9) from the dividend after 613, then repeat: 6139 / 953

Moving on to step 5:
The number 953 fits into 6139 6 times, leaving a remainder of 421.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Deduct 5718 from 6139 and we're left with 421.
Grab the next digit (4) from the dividend, add it to 421, then carry on: 4214 / 953

Step 6:
The number 953 fits into 4214 4 times, leaving a remainder of 402.
Write down 4 as next digit of the result. 
Result so far: 164.0
If we take 3812 away from 4214, we end up with 402.
Append the next digit (1) from the dividend to 402 and continue with: 4021 / 953

Moving on to step 7:
4021 divided by 953 is 4 with a remainder of 209.
Put 4 as the next digit of the answer. 
Result so far: 1644.0
Subtract 3812 from 4021 to get 209.
Include the next digit (1) from the dividend after 209, then repeat: 2091 / 953

Going ahead to step 8:
If we divide 2091 by 953, we get 2 and a remainder of 185.
Use 2 as the next digit of our solution. 
Result so far: 16442.0
Deduct 1906 from 2091 and we're left with 185.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

On to step 9:
953 goes into 1850 1 times with a remainder of 897.
The next digit of our result is 1. 
Result so far: 16442.1
If we take 953 away from 1850, we end up with 897.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8970, and continue the process.

Going ahead to step 10:
The number 953 fits into 8970 9 times, leaving a remainder of 393.
Use 9 as the next digit of our solution. 
Result so far: 16442.19
If we take 8577 away from 8970, we end up with 393.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3930, and continue the process.

Going ahead to step 11:
953 goes into 3930 4 times with a remainder of 118.
The next digit of our result is 4. 
Result so far: 16442.194
If we take 3812 away from 3930, we end up with 118.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1180, and continue the process.

Going ahead to step 12:
The number 953 fits into 1180 1 times, leaving a remainder of 227.
The number 1 becomes the next digit in our result. 
Result so far: 16442.1941
Subtract 953 from 1180 to get 227.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2270, and continue the process.

Advancing to step 13:
When dividing 2270 by 953, we get 2 with a remainder of 364.
Write down 2 as next digit of the result. 
Result so far: 16442.19412
If we take 1906 away from 2270, we end up with 364.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3640, and continue the process.

Moving on to step 14:
3640 divided by 953 is 3 with a remainder of 781.
The next digit of our result is 3. 
Result so far: 16442.194123
The remainder is 781 after subtracting 2859 from 3640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7810, and continue the process.

Going ahead to step 15:
7810 divided by 953 is 8 with a remainder of 186.
Record the quotient 8 as the next digit in the result. 
Result so far: 16442.1941238
The remainder is 186 after subtracting 7624 from 7810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1860, and continue the process.

On to step 16:
953 can be fit into 1860 1 times, resulting in a remainder of 907.
Record the quotient 1 as the next digit in the result. 
Result so far: 16442.19412381
Subtract 953 from 1860 to get 907.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9070, and continue the process.

The quotient of the division is 16442.19412381, and the remainder is 9.07e-07.