We look at the division of 542150 by 71 
We want to divide 542150 by 71.

Going ahead to step 1:
71 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 71

Moving on to step 2:
71 goes into 54 0 times with a remainder of 54.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 54 after subtracting 0 from 54.
Append the next digit (2) from the dividend to 54 and continue with: 542 / 71

On to step 3:
If we divide 542 by 71, we get 7 and a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 45 after subtracting 497 from 542.
Fetch the next digit (1) from the dividend, attach it to 45 and continue: 451 / 71

Advancing to step 4:
71 can be fit into 451 6 times, resulting in a remainder of 25.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
Deduct 426 from 451 and we're left with 25.
Take the next digit (5) from the dividend and append it to 25, then repeat: 255 / 71

Moving on to step 5:
The number 71 fits into 255 3 times, leaving a remainder of 42.
Write down 3 as next digit of the result. 
Result so far: 763.0
If we take 213 away from 255, we end up with 42.
Fetch the next digit (0) from the dividend, attach it to 42 and continue: 420 / 71

Let's proceed to step 6:
If we divide 420 by 71, we get 5 and a remainder of 65.
Record the quotient 5 as the next digit in the result. 
Result so far: 7635.0
Deduct 355 from 420 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 7:
71 goes into 650 9 times with a remainder of 11.
The next digit of our result is 9. 
Result so far: 7635.9
Subtracting 639 from 650 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 8:
71 goes into 110 1 times with a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 7635.91
Subtracting 71 from 110 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 9:
When dividing 390 by 71, we get 5 with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 7635.915
Deduct 355 from 390 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 10:
The number 71 fits into 350 4 times, leaving a remainder of 66.
Record the quotient 4 as the next digit in the result. 
Result so far: 7635.9154
If we take 284 away from 350, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 11:
The number 71 fits into 660 9 times, leaving a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 7635.91549
If we take 639 away from 660, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 12:
71 can be fit into 210 2 times, resulting in a remainder of 68.
Use 2 as the next digit of our solution. 
Result so far: 7635.915492
If we subtract 142 from 210, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 13:
The number 71 fits into 680 9 times, leaving a remainder of 41.
Write down 9 as next digit of the result. 
Result so far: 7635.9154929
Deduct 639 from 680 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 14:
If we divide 410 by 71, we get 5 and a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 7635.91549295
Deduct 355 from 410 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The final result is 7635.91549295 with a remainder of 5.5e-08.