We look at the division of 541117 by 71 
Our goal is to divide 541117 by 71.

Step 1:
71 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 71

Let's proceed to step 2:
71 goes into 54 0 times with a remainder of 54.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 54 to get 54.
Take the next digit (1) from the dividend and append it to 54, then repeat: 541 / 71

Advancing to step 3:
When dividing 541 by 71, we get 7 with a remainder of 44.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 497 from 541 and we're left with 44.
Grab the next digit (1) from the dividend, add it to 44, then carry on: 441 / 71

On to step 4:
The number 71 fits into 441 6 times, leaving a remainder of 15.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
Subtracting 426 from 441 leaves us with 15.
Take the next digit (1) from the dividend and append it to 15, then repeat: 151 / 71

Advancing to step 5:
When dividing 151 by 71, we get 2 with a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 762.0
The remainder is 9 after subtracting 142 from 151.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 71

Let's proceed to step 6:
When dividing 97 by 71, we get 1 with a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 7621.0
Subtract 71 from 97 to get 26.
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 7:
If we divide 260 by 71, we get 3 and a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 7621.3
Subtract 213 from 260 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 8:
The number 71 fits into 470 6 times, leaving a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 7621.36
If we subtract 426 from 470, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 9:
71 can be fit into 440 6 times, resulting in a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 7621.366
Deduct 426 from 440 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 7621.366 and a remainder of 0.0014.