We're dividing 542242 by 71 
Let's see how many times 71 fits into 542242.

On to step 1:
When dividing 5 by 71, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 71

On to step 2:
When dividing 54 by 71, we get 0 with a remainder of 54.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 54 and we're left with 54.
Append the next digit (2) from the dividend to 54 and continue with: 542 / 71

Step 3:
71 goes into 542 7 times with a remainder of 45.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 497 from 542 to get 45.
Take the next digit (2) from the dividend and append it to 45, then repeat: 452 / 71

Step 4:
71 can be fit into 452 6 times, resulting in a remainder of 26.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
Subtracting 426 from 452 leaves us with 26.
Take the next digit (4) from the dividend and append it to 26, then repeat: 264 / 71

Advancing to step 5:
71 can be fit into 264 3 times, resulting in a remainder of 51.
Write down 3 as next digit of the result. 
Result so far: 763.0
Subtracting 213 from 264 leaves us with 51.
Grab the next digit (2) from the dividend, add it to 51, then carry on: 512 / 71

Step 6:
71 can be fit into 512 7 times, resulting in a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 7637.0
The remainder is 15 after subtracting 497 from 512.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 7:
71 can be fit into 150 2 times, resulting in a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 7637.2
Subtract 142 from 150 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.

Step 8:
80 divided by 71 is 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 7637.21
The remainder is 9 after subtracting 71 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 9:
90 divided by 71 is 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 7637.211
Deduct 71 from 90 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

In conclusion, the division gives 7637.211 with a balance of 0.0019.