Let's divide 414494 by 13
We want to figure out the number of times 414494 can be divided by 13.

Step 1:
13 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 13

Moving on to step 2:
13 goes into 41 3 times with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 39 from 41 leaves us with 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 13

Advancing to step 3:
The number 13 fits into 24 1 times, leaving a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 31.0
If we take 13 away from 24, we end up with 11.
Include the next digit (4) from the dividend after 11, then repeat: 114 / 13

Step 4:
When dividing 114 by 13, we get 8 with a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 318.0
The remainder is 10 after subtracting 104 from 114.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 13

Advancing to step 5:
109 divided by 13 is 8 with a remainder of 5.
The next digit of our result is 8. 
Result so far: 3188.0
Deduct 104 from 109 and we're left with 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 13

On 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: 31884.0
Subtract 52 from 54 to 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:
When dividing 20 by 13, we get 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 31884.1
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.

Advancing to step 8:
If we divide 70 by 13, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 31884.15
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.

Advancing to step 9:
50 divided by 13 is 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 31884.153
If we take 39 away from 50, we end up 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.

Step 10:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 31884.1538
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.

Let's proceed to step 11:
When dividing 60 by 13, we get 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 31884.15384
Subtract 52 from 60 to get 8.
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:
13 goes into 80 6 times with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 31884.153846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 13:
When dividing 20 by 13, we get 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 31884.1538461
Deduct 13 from 20 and we're left 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.

Moving on to step 14:
If we divide 70 by 13, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 31884.15384615
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 final outcome is 31884.15384615, with a leftover of 5e-09.