We look at the division of 55379 by 71 
We're looking to find how many times 71 goes into 55379.

Step 1:
If we divide 5 by 71, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 71

Moving on to step 2:
71 goes into 55 0 times with a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 55 after subtracting 0 from 55.
Bring next digit (3) of the dividend behind the 55 and repeat the process: 553 / 71

Step 3:
If we divide 553 by 71, we get 7 and a remainder of 56.
Write down 7 as next digit of the result. 
Result so far: 7.0
The remainder is 56 after subtracting 497 from 553.
Bring next digit (7) of the dividend behind the 56 and repeat the process: 567 / 71

Let's proceed to step 4:
If we divide 567 by 71, we get 7 and a remainder of 70.
Put 7 as the next digit of the answer. 
Result so far: 77.0
Subtract 497 from 567 to get 70.
Include the next digit (9) from the dividend after 70, then repeat: 709 / 71

Moving on to step 5:
709 divided by 71 is 9 with a remainder of 70.
Put 9 as the next digit of the answer. 
Result so far: 779.0
Subtract 639 from 709 to 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 6:
71 can be fit into 700 9 times, resulting in a remainder of 61.
Put 9 as the next digit of the answer. 
Result so far: 779.9
If we subtract 639 from 700, we 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.

Let's proceed to step 7:
When dividing 610 by 71, we get 8 with a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 779.98
Deduct 568 from 610 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 8:
When dividing 420 by 71, we get 5 with a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 779.985
If we subtract 355 from 420, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 9:
The number 71 fits into 650 9 times, leaving a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 779.9859
If we subtract 639 from 650, we get 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 10:
71 can be fit into 110 1 times, resulting in a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 779.98591
The remainder is 39 after subtracting 71 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 11:
The number 71 fits into 390 5 times, leaving a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 779.985915
The remainder is 35 after subtracting 355 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 12:
350 divided by 71 is 4 with a remainder of 66.
Use 4 as the next digit of our solution. 
Result so far: 779.9859154
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 13:
The number 71 fits into 660 9 times, leaving a remainder of 21.
The next digit of our result is 9. 
Result so far: 779.98591549
Deduct 639 from 660 and we're left 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.

The quotient of the division is 779.98591549, and the remainder is 2.1e-08.