We're dividing 205340 by 42 
We want to figure out the number of times 205340 can be divided by 42.

Advancing to step 1:
42 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 42

Let's proceed to step 2:
The number 42 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 20 to get 20.
Grab the next digit (5) from the dividend, add it to 20, then carry on: 205 / 42

Going ahead to step 3:
If we divide 205 by 42, we get 4 and a remainder of 37.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 168 from 205 to get 37.
Append the next digit (3) from the dividend to 37 and continue with: 373 / 42

Moving on to step 4:
373 divided by 42 is 8 with a remainder of 37.
The number 8 becomes the next digit in our result. 
Result so far: 48.0
Subtracting 336 from 373 leaves us with 37.
Bring next digit (4) of the dividend behind the 37 and repeat the process: 374 / 42

Advancing to step 5:
374 divided by 42 is 8 with a remainder of 38.
The next digit of our result is 8. 
Result so far: 488.0
Subtracting 336 from 374 leaves us with 38.
Append the next digit (0) from the dividend to 38 and continue with: 380 / 42

Going ahead to step 6:
380 divided by 42 is 9 with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 4889.0
If we take 378 away from 380, we end up 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.

Advancing to step 7:
When dividing 20 by 42, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 4889.0
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
200 divided by 42 is 4 with a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 4889.04
If we take 168 away from 200, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 9:
If we divide 320 by 42, we get 7 and a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 4889.047
The remainder is 26 after subtracting 294 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 10:
When dividing 260 by 42, we get 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 4889.0476
Subtract 252 from 260 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.

Going ahead to step 11:
42 can be fit into 80 1 times, resulting in a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 4889.04761
The remainder is 38 after subtracting 42 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 12:
If we divide 380 by 42, we get 9 and a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 4889.047619
Subtract 378 from 380 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 13:
20 divided by 42 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 4889.047619
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 14:
200 divided by 42 is 4 with a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 4889.04761904
Subtract 168 from 200 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 4889.04761904 with a balance of 3.2e-08.