13002108 divided by 965 
The aim is to understand the frequency of 965 in 13002108.

On to step 1:
1 divided by 965 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 965

Going ahead to step 2:
The number 965 fits into 13 0 times, leaving a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Fetch the next digit (0) from the dividend, attach it to 13 and continue: 130 / 965

Advancing to step 3:
When dividing 130 by 965, we get 0 with a remainder of 130.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 130 and we're left with 130.
Append the next digit (0) from the dividend to 130 and continue with: 1300 / 965

Moving on to step 4:
965 can be fit into 1300 1 times, resulting in a remainder of 335.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 965 from 1300 leaves us with 335.
Bring next digit (2) of the dividend behind the 335 and repeat the process: 3352 / 965

Going ahead to step 5:
965 can be fit into 3352 3 times, resulting in a remainder of 457.
The next digit of our result is 3. 
Result so far: 13.0
Subtracting 2895 from 3352 leaves us with 457.
Append the next digit (1) from the dividend to 457 and continue with: 4571 / 965

Let's proceed to step 6:
965 goes into 4571 4 times with a remainder of 711.
The next digit of our result is 4. 
Result so far: 134.0
Subtract 3860 from 4571 to get 711.
Grab the next digit (0) from the dividend, add it to 711, then carry on: 7110 / 965

Step 7:
When dividing 7110 by 965, we get 7 with a remainder of 355.
Put 7 as the next digit of the answer. 
Result so far: 1347.0
If we take 6755 away from 7110, we end up with 355.
Grab the next digit (8) from the dividend, add it to 355, then carry on: 3558 / 965

On to step 8:
If we divide 3558 by 965, we get 3 and a remainder of 663.
The number 3 becomes the next digit in our result. 
Result so far: 13473.0
If we take 2895 away from 3558, we end up with 663.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6630, and continue the process.

Step 9:
6630 divided by 965 is 6 with a remainder of 840.
Put 6 as the next digit of the answer. 
Result so far: 13473.6
If we take 5790 away from 6630, we end up with 840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8400, and continue the process.

Let's proceed to step 10:
When dividing 8400 by 965, we get 8 with a remainder of 680.
The next digit of our result is 8. 
Result so far: 13473.68
Subtract 7720 from 8400 to get 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6800, and continue the process.

Moving on to step 11:
965 goes into 6800 7 times with a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 13473.687
Subtracting 6755 from 6800 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 12:
When dividing 450 by 965, we get 0 with a remainder of 450.
The number 0 becomes the next digit in our result. 
Result so far: 13473.687
Subtracting 0 from 450 leaves us with 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4500, and continue the process.

Let's proceed to step 13:
The number 965 fits into 4500 4 times, leaving a remainder of 640.
Write down 4 as next digit of the result. 
Result so far: 13473.68704
Subtracting 3860 from 4500 leaves us with 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6400, and continue the process.

On to step 14:
965 can be fit into 6400 6 times, resulting in a remainder of 610.
Use 6 as the next digit of our solution. 
Result so far: 13473.687046
Deduct 5790 from 6400 and we're left with 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6100, and continue the process.

Let's proceed to step 15:
When dividing 6100 by 965, we get 6 with a remainder of 310.
The number 6 becomes the next digit in our result. 
Result so far: 13473.6870466
Subtract 5790 from 6100 to get 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

In conclusion, the division gives 13473.6870466 with a balance of 3.1e-06.