338422 divided by 13 
We want to figure out the number of times 338422 can be divided by 13.

On to step 1:
3 divided by 13 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 13

Let's proceed to step 2:
The number 13 fits into 33 2 times, leaving a remainder of 7.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtracting 26 from 33 leaves us with 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 13

Let's proceed to step 3:
When dividing 78 by 13, we get 6 with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 26.0
Deduct 78 from 78 and we're left with 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 13

Moving on to step 4:
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: 260.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 13

Moving on to step 5:
13 can be fit into 42 3 times, resulting in a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 2603.0
Subtract 39 from 42 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 13

On to step 6:
If we divide 32 by 13, we get 2 and a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 26032.0
Deduct 26 from 32 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.

Let's proceed to step 7:
13 goes into 60 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 26032.4
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.

Going ahead to step 8:
When dividing 80 by 13, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 26032.46
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 9:
13 goes into 20 1 times with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 26032.461
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 10:
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: 26032.4615
Subtract 65 from 70 to 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.

Step 11:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 26032.46153
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 12:
110 divided by 13 is 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 26032.461538
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.

Moving on to step 13:
When dividing 60 by 13, we get 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 26032.4615384
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.

Let's proceed to step 14:
13 goes into 80 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 26032.46153846
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.

After the division, we end up with 26032.46153846 and a remainder of 2e-09.