Let's divide 553891 by 71
We're looking to find how many times 71 goes into 553891.

Advancing to step 1:
5 divided by 71 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 71

Going ahead to step 2:
55 divided by 71 is 0 with a remainder of 55.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Append the next digit (3) from the dividend to 55 and continue with: 553 / 71

Going ahead to step 3:
71 goes into 553 7 times with a remainder of 56.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 497 away from 553, we end up with 56.
Take the next digit (8) from the dividend and append it to 56, then repeat: 568 / 71

Going ahead to step 4:
568 divided by 71 is 8 with a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 78.0
Subtracting 568 from 568 leaves us with 0.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 71

Let's proceed to step 5:
71 goes into 9 0 times with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 780.0
Subtracting 0 from 9 leaves us with 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 71

On to step 6:
71 can be fit into 91 1 times, resulting in a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 7801.0
Subtracting 71 from 91 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 7:
71 goes into 200 2 times with a remainder of 58.
The next digit of our result is 2. 
Result so far: 7801.2
If we take 142 away from 200, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 8:
If we divide 580 by 71, we get 8 and a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 7801.28
Subtract 568 from 580 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
71 goes into 120 1 times with a remainder of 49.
The next digit of our result is 1. 
Result so far: 7801.281
Subtracting 71 from 120 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 10:
The number 71 fits into 490 6 times, leaving a remainder of 64.
Record the quotient 6 as the next digit in the result. 
Result so far: 7801.2816
Deduct 426 from 490 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 11:
When dividing 640 by 71, we get 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 7801.28169
The remainder is 1 after subtracting 639 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 12:
71 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 7801.28169
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 13:
71 goes into 100 1 times with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 7801.2816901
If we subtract 71 from 100, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 14:
71 can be fit into 290 4 times, resulting in a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 7801.28169014
If we subtract 284 from 290, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 7801.28169014 with a remaining 6e-09.