We look at the division of 6379 by 71 
Let's see how many times 71 fits into 6379.

Moving on to step 1:
71 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 71

Advancing to step 2:
63 divided by 71 is 0 with a remainder of 63.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 63 and we're left with 63.
Append the next digit (7) from the dividend to 63 and continue with: 637 / 71

Let's proceed to step 3:
637 divided by 71 is 8 with a remainder of 69.
Write down 8 as next digit of the result. 
Result so far: 8.0
The remainder is 69 after subtracting 568 from 637.
Fetch the next digit (9) from the dividend, attach it to 69 and continue: 699 / 71

Advancing to step 4:
The number 71 fits into 699 9 times, leaving a remainder of 60.
Use 9 as the next digit of our solution. 
Result so far: 89.0
Subtract 639 from 699 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 5:
71 goes into 600 8 times with a remainder of 32.
The next digit of our result is 8. 
Result so far: 89.8
Deduct 568 from 600 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 6:
The number 71 fits into 320 4 times, leaving a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 89.84
The remainder is 36 after subtracting 284 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 7:
71 goes into 360 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 89.845
The remainder is 5 after subtracting 355 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
If we divide 50 by 71, we get 0 and a remainder of 50.
The next digit of our result is 0. 
Result so far: 89.845
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
The number 71 fits into 500 7 times, leaving a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 89.84507
Subtracting 497 from 500 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 10:
When dividing 30 by 71, we get 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 89.84507
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
71 can be fit into 300 4 times, resulting in a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 89.8450704
If we subtract 284 from 300, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 12:
If we divide 160 by 71, we get 2 and a remainder of 18.
The next digit of our result is 2. 
Result so far: 89.84507042
Deduct 142 from 160 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

After the division, we end up with 89.84507042 and a remainder of 1.8e-08.