We divide 442314 by 13
The aim is to understand the frequency of 13 in 442314.

On to step 1:
When dividing 4 by 13, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 13

Advancing to step 2:
The number 13 fits into 44 3 times, leaving a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 39 from 44 leaves us with 5.
Grab the next digit (2) from the dividend, add it to 5, then carry on: 52 / 13

Moving on to step 3:
13 goes into 52 4 times with a remainder of 0.
The next digit of our result is 4. 
Result so far: 34.0
Subtract 52 from 52 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 13

On to step 4:
3 divided by 13 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 340.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 13

On to step 5:
If we divide 31 by 13, we get 2 and a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 3402.0
Subtract 26 from 31 to get 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 13

Let's proceed to step 6:
When dividing 54 by 13, we get 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 34024.0
If we take 52 away from 54, 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.

Step 7:
20 divided by 13 is 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 34024.1
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 8:
When dividing 70 by 13, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 34024.15
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 9:
13 goes into 50 3 times with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 34024.153
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 10:
If we divide 110 by 13, we get 8 and a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 34024.1538
If we take 104 away from 110, we end up 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 11:
If we divide 60 by 13, we get 4 and a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 34024.15384
Subtracting 52 from 60 leaves us 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 12:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The next digit of our result is 6. 
Result so far: 34024.153846
If we subtract 78 from 80, 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.

On to step 13:
If we divide 20 by 13, we get 1 and a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 34024.1538461
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 14:
If we divide 70 by 13, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 34024.15384615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 34024.15384615 with a remaining 5e-09.