We're dividing 14053409 by 338 
Our goal is to divide 14053409 by 338.

Step 1:
1 divided by 338 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 338

Going ahead to step 2:
338 goes into 14 0 times with a remainder of 14.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 14 and we're left with 14.
Append the next digit (0) from the dividend to 14 and continue with: 140 / 338

On to step 3:
338 can be fit into 140 0 times, resulting in a remainder of 140.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 140 and we're left with 140.
Append the next digit (5) from the dividend to 140 and continue with: 1405 / 338

Advancing to step 4:
1405 divided by 338 is 4 with a remainder of 53.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 1352 from 1405 leaves us with 53.
Bring next digit (3) of the dividend behind the 53 and repeat the process: 533 / 338

Moving on to step 5:
338 can be fit into 533 1 times, resulting in a remainder of 195.
Use 1 as the next digit of our solution. 
Result so far: 41.0
Subtracting 338 from 533 leaves us with 195.
Fetch the next digit (4) from the dividend, attach it to 195 and continue: 1954 / 338

Step 6:
If we divide 1954 by 338, we get 5 and a remainder of 264.
Record the quotient 5 as the next digit in the result. 
Result so far: 415.0
If we subtract 1690 from 1954, we get 264.
Bring next digit (0) of the dividend behind the 264 and repeat the process: 2640 / 338

Moving on to step 7:
338 can be fit into 2640 7 times, resulting in a remainder of 274.
The number 7 becomes the next digit in our result. 
Result so far: 4157.0
Deduct 2366 from 2640 and we're left with 274.
Grab the next digit (9) from the dividend, add it to 274, then carry on: 2749 / 338

Step 8:
338 can be fit into 2749 8 times, resulting in a remainder of 45.
The number 8 becomes the next digit in our result. 
Result so far: 41578.0
If we subtract 2704 from 2749, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 9:
The number 338 fits into 450 1 times, leaving a remainder of 112.
The number 1 becomes the next digit in our result. 
Result so far: 41578.1
Deduct 338 from 450 and we're left with 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

Let's proceed to step 10:
338 can be fit into 1120 3 times, resulting in a remainder of 106.
Use 3 as the next digit of our solution. 
Result so far: 41578.13
If we take 1014 away from 1120, we end up with 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

Going ahead to step 11:
1060 divided by 338 is 3 with a remainder of 46.
Put 3 as the next digit of the answer. 
Result so far: 41578.133
Subtracting 1014 from 1060 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

The quotient of the division is 41578.133, and the remainder is 0.0046.