We look at the division of 13742042 by 339 
We're looking to find how many times 339 goes into 13742042.

Step 1:
If we divide 1 by 339, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 339

Let's proceed to step 2:
When dividing 13 by 339, we get 0 with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Include the next digit (7) from the dividend after 13, then repeat: 137 / 339

Let's proceed to step 3:
339 can be fit into 137 0 times, resulting in a remainder of 137.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 137, we end up with 137.
Take the next digit (4) from the dividend and append it to 137, then repeat: 1374 / 339

On to step 4:
If we divide 1374 by 339, we get 4 and a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 1356 from 1374 leaves us with 18.
Fetch the next digit (2) from the dividend, attach it to 18 and continue: 182 / 339

Let's proceed to step 5:
339 can be fit into 182 0 times, resulting in a remainder of 182.
The next digit of our result is 0. 
Result so far: 40.0
If we subtract 0 from 182, we get 182.
Take the next digit (0) from the dividend and append it to 182, then repeat: 1820 / 339

Moving on to step 6:
339 can be fit into 1820 5 times, resulting in a remainder of 125.
Use 5 as the next digit of our solution. 
Result so far: 405.0
If we subtract 1695 from 1820, we get 125.
Fetch the next digit (4) from the dividend, attach it to 125 and continue: 1254 / 339

Moving on to step 7:
If we divide 1254 by 339, we get 3 and a remainder of 237.
Use 3 as the next digit of our solution. 
Result so far: 4053.0
If we subtract 1017 from 1254, we get 237.
Include the next digit (2) from the dividend after 237, then repeat: 2372 / 339

Advancing to step 8:
339 can be fit into 2372 6 times, resulting in a remainder of 338.
Record the quotient 6 as the next digit in the result. 
Result so far: 40536.0
If we take 2034 away from 2372, we end up with 338.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3380, and continue the process.

Advancing to step 9:
3380 divided by 339 is 9 with a remainder of 329.
Put 9 as the next digit of the answer. 
Result so far: 40536.9
The remainder is 329 after subtracting 3051 from 3380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3290, and continue the process.

Going ahead to step 10:
339 goes into 3290 9 times with a remainder of 239.
Use 9 as the next digit of our solution. 
Result so far: 40536.99
Subtracting 3051 from 3290 leaves us with 239.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2390, and continue the process.

The quotient of the division is 40536.99, and the remainder is 0.239.