Let's divide 542296 by 71
We want to divide 542296 by 71.

Going ahead to step 1:
5 divided by 71 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 71

Let's proceed to step 2:
When dividing 54 by 71, we get 0 with a remainder of 54.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 54, we end up with 54.
Include the next digit (2) from the dividend after 54, then repeat: 542 / 71

Going ahead to step 3:
542 divided by 71 is 7 with a remainder of 45.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 497 from 542 and we're left with 45.
Bring next digit (2) of the dividend behind the 45 and repeat the process: 452 / 71

Going ahead to step 4:
71 goes into 452 6 times with a remainder of 26.
Use 6 as the next digit of our solution. 
Result so far: 76.0
Subtract 426 from 452 to get 26.
Include the next digit (9) from the dividend after 26, then repeat: 269 / 71

Advancing to step 5:
When dividing 269 by 71, we get 3 with a remainder of 56.
Use 3 as the next digit of our solution. 
Result so far: 763.0
If we take 213 away from 269, we end up with 56.
Bring next digit (6) of the dividend behind the 56 and repeat the process: 566 / 71

Step 6:
71 goes into 566 7 times with a remainder of 69.
Use 7 as the next digit of our solution. 
Result so far: 7637.0
Subtract 497 from 566 to get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

On to step 7:
If we divide 690 by 71, we get 9 and a remainder of 51.
Use 9 as the next digit of our solution. 
Result so far: 7637.9
Deduct 639 from 690 and we're left with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

On to step 8:
If we divide 510 by 71, we get 7 and a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 7637.97
Subtract 497 from 510 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 9:
The number 71 fits into 130 1 times, leaving a remainder of 59.
Record the quotient 1 as the next digit in the result. 
Result so far: 7637.971
If we subtract 71 from 130, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 10:
71 can be fit into 590 8 times, resulting in a remainder of 22.
The next digit of our result is 8. 
Result so far: 7637.9718
The remainder is 22 after subtracting 568 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 11:
If we divide 220 by 71, we get 3 and a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 7637.97183
Deduct 213 from 220 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 12:
71 goes into 70 0 times with a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 7637.97183
If we subtract 0 from 70, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 13:
71 goes into 700 9 times with a remainder of 61.
Record the quotient 9 as the next digit in the result. 
Result so far: 7637.9718309
Subtract 639 from 700 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 14:
610 divided by 71 is 8 with a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 7637.97183098
The remainder is 42 after subtracting 568 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Our division results in 7637.97183098 with a remaining 4.2e-08.