We're dividing 388960 by 71 
Let's see how many times 71 fits into 388960.

Going ahead to step 1:
When dividing 3 by 71, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 71

Moving on to step 2:
The number 71 fits into 38 0 times, leaving a remainder of 38.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 38 to get 38.
Bring next digit (8) of the dividend behind the 38 and repeat the process: 388 / 71

Advancing to step 3:
71 can be fit into 388 5 times, resulting in a remainder of 33.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 355 away from 388, we end up with 33.
Include the next digit (9) from the dividend after 33, then repeat: 339 / 71

Moving on to step 4:
When dividing 339 by 71, we get 4 with a remainder of 55.
Use 4 as the next digit of our solution. 
Result so far: 54.0
Subtract 284 from 339 to get 55.
Fetch the next digit (6) from the dividend, attach it to 55 and continue: 556 / 71

Let's proceed to step 5:
71 can be fit into 556 7 times, resulting in a remainder of 59.
The number 7 becomes the next digit in our result. 
Result so far: 547.0
Deduct 497 from 556 and we're left with 59.
Include the next digit (0) from the dividend after 59, then repeat: 590 / 71

Moving on to step 6:
When dividing 590 by 71, we get 8 with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 5478.0
Subtracting 568 from 590 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 7:
The number 71 fits into 220 3 times, leaving a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 5478.3
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 8:
71 goes into 70 0 times with a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 5478.3
Subtracting 0 from 70 leaves us with 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 9:
71 can be fit into 700 9 times, resulting in a remainder of 61.
Write down 9 as next digit of the result. 
Result so far: 5478.309
Subtracting 639 from 700 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 10:
71 goes into 610 8 times with a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 5478.3098
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.

Let's proceed to step 11:
If we divide 420 by 71, we get 5 and a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 5478.30985
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 12:
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: 5478.309859
Subtracting 639 from 650 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 13:
71 can be fit into 110 1 times, resulting in a remainder of 39.
The next digit of our result is 1. 
Result so far: 5478.3098591
Subtracting 71 from 110 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 14:
71 can be fit into 390 5 times, resulting in a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 5478.30985915
Subtracting 355 from 390 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The quotient of the division is 5478.30985915, and the remainder is 3.5e-08.