We're dividing 75340 by 42 
Our goal is to divide 75340 by 42.

Step 1:
If we divide 7 by 42, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 42

Let's proceed to step 2:
If we divide 75 by 42, we get 1 and a remainder of 33.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 42 from 75 leaves us with 33.
Include the next digit (3) from the dividend after 33, then repeat: 333 / 42

On to step 3:
When dividing 333 by 42, we get 7 with a remainder of 39.
Use 7 as the next digit of our solution. 
Result so far: 17.0
If we take 294 away from 333, we end up with 39.
Append the next digit (4) from the dividend to 39 and continue with: 394 / 42

On to step 4:
The number 42 fits into 394 9 times, leaving a remainder of 16.
Put 9 as the next digit of the answer. 
Result so far: 179.0
Subtract 378 from 394 to get 16.
Bring next digit (0) of the dividend behind the 16 and repeat the process: 160 / 42

Step 5:
When dividing 160 by 42, we get 3 with a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 1793.0
Subtract 126 from 160 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 6:
42 can be fit into 340 8 times, resulting in a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 1793.8
Subtracting 336 from 340 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 7:
When dividing 40 by 42, we get 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 1793.8
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
42 can be fit into 400 9 times, resulting in a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 1793.809
If we subtract 378 from 400, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 9:
The number 42 fits into 220 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 1793.8095
Subtracting 210 from 220 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
The number 42 fits into 100 2 times, leaving a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 1793.80952
Subtracting 84 from 100 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 11:
160 divided by 42 is 3 with a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 1793.809523
The remainder is 34 after subtracting 126 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 12:
The number 42 fits into 340 8 times, leaving a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 1793.8095238
If we subtract 336 from 340, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 13:
42 goes into 40 0 times with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 1793.8095238
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 1793.8095238 with a remainder of 4e-08.