We're dividing 547641 by 71 
We want to figure out the number of times 547641 can be divided by 71.

Going ahead to step 1:
71 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 71

Step 2:
If we divide 54 by 71, we get 0 and a remainder of 54.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 54 and we're left with 54.
Fetch the next digit (7) from the dividend, attach it to 54 and continue: 547 / 71

On to step 3:
71 can be fit into 547 7 times, resulting in a remainder of 50.
Put 7 as the next digit of the answer. 
Result so far: 7.0
The remainder is 50 after subtracting 497 from 547.
Bring next digit (6) of the dividend behind the 50 and repeat the process: 506 / 71

Step 4:
When dividing 506 by 71, we get 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 77.0
If we take 497 away from 506, we end up with 9.
Grab the next digit (4) from the dividend, add it to 9, then carry on: 94 / 71

On to step 5:
If we divide 94 by 71, we get 1 and a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 771.0
The remainder is 23 after subtracting 71 from 94.
Append the next digit (1) from the dividend to 23 and continue with: 231 / 71

On to step 6:
When dividing 231 by 71, we get 3 with a remainder of 18.
Record the quotient 3 as the next digit in the result. 
Result so far: 7713.0
If we subtract 213 from 231, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 7:
The number 71 fits into 180 2 times, leaving a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 7713.2
The remainder is 38 after subtracting 142 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 8:
The number 71 fits into 380 5 times, leaving a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 7713.25
Deduct 355 from 380 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
71 can be fit into 250 3 times, resulting in a remainder of 37.
The next digit of our result is 3. 
Result so far: 7713.253
If we take 213 away from 250, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 10:
370 divided by 71 is 5 with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 7713.2535
The remainder is 15 after subtracting 355 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 11:
71 goes into 150 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 7713.25352
The remainder is 8 after subtracting 142 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 12:
The number 71 fits into 80 1 times, leaving a remainder of 9.
The next digit of our result is 1. 
Result so far: 7713.253521
Deduct 71 from 80 and we're left with 9.
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 13:
71 goes into 90 1 times with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 7713.2535211
Subtracting 71 from 90 leaves us 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.

Our division results in 7713.2535211 with a remaining 1.9e-07.