We look at the division of 638344 by 71 
We want to divide 638344 by 71.

Let's proceed to step 1:
If we divide 6 by 71, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 71

Step 2:
71 goes into 63 0 times with a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 63, we end up with 63.
Append the next digit (8) from the dividend to 63 and continue with: 638 / 71

Let's proceed to step 3:
71 goes into 638 8 times with a remainder of 70.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 568 from 638 and we're left with 70.
Include the next digit (3) from the dividend after 70, then repeat: 703 / 71

Going ahead to step 4:
The number 71 fits into 703 9 times, leaving a remainder of 64.
Record the quotient 9 as the next digit in the result. 
Result so far: 89.0
Deduct 639 from 703 and we're left with 64.
Append the next digit (4) from the dividend to 64 and continue with: 644 / 71

Let's proceed to step 5:
71 goes into 644 9 times with a remainder of 5.
The next digit of our result is 9. 
Result so far: 899.0
The remainder is 5 after subtracting 639 from 644.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 71

Going ahead to step 6:
71 can be fit into 54 0 times, resulting in a remainder of 54.
Write down 0 as next digit of the result. 
Result so far: 8990.0
Subtract 0 from 54 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 7:
If we divide 540 by 71, we get 7 and a remainder of 43.
Put 7 as the next digit of the answer. 
Result so far: 8990.7
Deduct 497 from 540 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 8:
71 can be fit into 430 6 times, resulting in a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 8990.76
Subtract 426 from 430 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
71 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 8990.76
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 10:
400 divided by 71 is 5 with a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 8990.7605
If we take 355 away from 400, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 11:
71 goes into 450 6 times with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 8990.76056
The remainder is 24 after subtracting 426 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 12:
240 divided by 71 is 3 with a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 8990.760563
If we subtract 213 from 240, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 13:
If we divide 270 by 71, we get 3 and a remainder of 57.
Put 3 as the next digit of the answer. 
Result so far: 8990.7605633
Subtract 213 from 270 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

The final outcome is 8990.7605633, with a leftover of 5.7e-07.