418642 ÷ 13 
Our goal is to divide 418642 by 13.

Let's proceed to step 1:
If we divide 4 by 13, we get 0 and 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.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 13

Advancing to step 2:
When dividing 41 by 13, we get 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 2 after subtracting 39 from 41.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 13

Advancing to step 3:
13 goes into 28 2 times with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 32.0
Subtracting 26 from 28 leaves us with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 13

Advancing to step 4:
If we divide 26 by 13, we get 2 and a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 322.0
Deduct 26 from 26 and we're left with 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 13

Step 5:
13 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 3220.0
If we take 0 away from 4, we end up with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 13

Let's proceed to step 6:
42 divided by 13 is 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 32203.0
If we take 39 away from 42, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
13 goes into 30 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 32203.2
Subtracting 26 from 30 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 32203.23
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 9:
If we divide 10 by 13, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 32203.23
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
If we divide 100 by 13, we get 7 and a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 32203.2307
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 11:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 32203.23076
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 12:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 32203.230769
Deduct 117 from 120 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 13:
13 goes into 30 2 times with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 32203.2307692
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 14:
40 divided by 13 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 32203.23076923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final outcome is 32203.23076923, with a leftover of 1e-09.