We're dividing 464414 by 13 
We want to figure out the number of times 464414 can be divided by 13.

Let's proceed to step 1:
When dividing 4 by 13, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 13

Step 2:
46 divided by 13 is 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 39 from 46, we get 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 13

Going ahead to step 3:
The number 13 fits into 74 5 times, leaving a remainder of 9.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
If we subtract 65 from 74, we get 9.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 13

Let's proceed to step 4:
13 can be fit into 94 7 times, resulting in a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 357.0
Subtracting 91 from 94 leaves us with 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 13

Moving on to step 5:
The number 13 fits into 31 2 times, leaving a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 3572.0
Subtracting 26 from 31 leaves us with 5.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 13

Advancing to step 6:
If we divide 54 by 13, we get 4 and a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 35724.0
If we subtract 52 from 54, 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.

Let's proceed to step 7:
If we divide 20 by 13, we get 1 and a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 35724.1
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.

Let's proceed to step 8:
13 goes into 70 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 35724.15
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:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The next digit of our result is 3. 
Result so far: 35724.153
If we subtract 39 from 50, we 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 10:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 35724.1538
The remainder is 6 after subtracting 104 from 110.
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:
60 divided by 13 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 35724.15384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 12:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 35724.153846
Deduct 78 from 80 and we're left 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 13:
13 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 35724.1538461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 14:
13 goes into 70 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 35724.15384615
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.

Our division results in 35724.15384615 with a remaining 5e-09.