We look at the division of 632374 by 71 
We want to divide 632374 by 71.

Let's proceed to step 1:
71 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 71

Advancing to step 2:
The number 71 fits into 63 0 times, leaving a remainder of 63.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Append the next digit (2) from the dividend to 63 and continue with: 632 / 71

On to step 3:
If we divide 632 by 71, we get 8 and a remainder of 64.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtract 568 from 632 to get 64.
Bring next digit (3) of the dividend behind the 64 and repeat the process: 643 / 71

Going ahead to step 4:
The number 71 fits into 643 9 times, leaving a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 89.0
Subtracting 639 from 643 leaves us with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 71

Let's proceed to step 5:
The number 71 fits into 47 0 times, leaving a remainder of 47.
Write down 0 as next digit of the result. 
Result so far: 890.0
The remainder is 47 after subtracting 0 from 47.
Bring next digit (4) of the dividend behind the 47 and repeat the process: 474 / 71

On to step 6:
474 divided by 71 is 6 with a remainder of 48.
Use 6 as the next digit of our solution. 
Result so far: 8906.0
Subtract 426 from 474 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 7:
71 can be fit into 480 6 times, resulting in a remainder of 54.
The next digit of our result is 6. 
Result so far: 8906.6
Deduct 426 from 480 and we're left with 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 8:
71 can be fit into 540 7 times, resulting in a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 8906.67
If we subtract 497 from 540, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 9:
71 goes into 430 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 8906.676
The remainder is 4 after subtracting 426 from 430.
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 10:
The number 71 fits into 40 0 times, leaving a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 8906.676
If we subtract 0 from 40, we 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.

On to step 11:
71 goes into 400 5 times with a remainder of 45.
The number 5 becomes the next digit in our result. 
Result so far: 8906.67605
If we subtract 355 from 400, we get 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 12:
71 can be fit into 450 6 times, resulting in a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 8906.676056
If we subtract 426 from 450, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 13:
The number 71 fits into 240 3 times, leaving a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 8906.6760563
Subtracting 213 from 240 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 14:
71 can be fit into 270 3 times, resulting in a remainder of 57.
Put 3 as the next digit of the answer. 
Result so far: 8906.67605633
Deduct 213 from 270 and we're left with 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 8906.67605633, with a leftover of 5.7e-08.