14821601 ÷ 13 
The aim is to understand the frequency of 13 in 14821601.

Moving on to step 1:
The number 13 fits into 1 0 times, leaving 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.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 13

Advancing to step 2:
The number 13 fits into 14 1 times, leaving a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 13 away from 14, we end up with 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 13

Moving on to step 3:
18 divided by 13 is 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we subtract 13 from 18, we get 5.
Grab the next digit (2) from the dividend, add it to 5, then carry on: 52 / 13

Let's proceed to step 4:
When dividing 52 by 13, we get 4 with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 114.0
Deduct 52 from 52 and we're left with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 13

Advancing to step 5:
13 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 1140.0
If we subtract 0 from 1, we get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 13

Moving on to step 6:
16 divided by 13 is 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 11401.0
If we take 13 away from 16, we end up with 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 13

Going ahead to step 7:
30 divided by 13 is 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 114012.0
Subtracting 26 from 30 leaves us with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 13

On to step 8:
41 divided by 13 is 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 1140123.0
If we subtract 39 from 41, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 9:
13 goes into 20 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 1140123.1
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 10:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 1140123.15
If we take 65 away from 70, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 11:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 1140123.153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 12:
110 divided by 13 is 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 1140123.1538
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 13:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 1140123.15384
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 14:
80 divided by 13 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 1140123.153846
If we take 78 away from 80, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 15:
20 divided by 13 is 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 1140123.1538461
Subtracting 13 from 20 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 16:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 1140123.15384615
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 1140123.15384615, and the remainder is 5e-09.