We divide 642623 by 71
Our goal is to divide 642623 by 71.

Let's proceed to step 1:
6 divided by 71 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 71

Step 2:
64 divided by 71 is 0 with a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 64 leaves us with 64.
Fetch the next digit (2) from the dividend, attach it to 64 and continue: 642 / 71

Going ahead to step 3:
71 goes into 642 9 times with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtract 639 from 642 to get 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 71

Step 4:
The number 71 fits into 36 0 times, leaving a remainder of 36.
The next digit of our result is 0. 
Result so far: 90.0
If we subtract 0 from 36, we get 36.
Fetch the next digit (2) from the dividend, attach it to 36 and continue: 362 / 71

Advancing to step 5:
If we divide 362 by 71, we get 5 and a remainder of 7.
The next digit of our result is 5. 
Result so far: 905.0
If we take 355 away from 362, we end up with 7.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 71

Moving on to step 6:
The number 71 fits into 73 1 times, leaving a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 9051.0
If we subtract 71 from 73, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
If we divide 20 by 71, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 9051.0
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
If we divide 200 by 71, we get 2 and a remainder of 58.
Use 2 as the next digit of our solution. 
Result so far: 9051.02
Subtracting 142 from 200 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 9:
When dividing 580 by 71, we get 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 9051.028
Subtract 568 from 580 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 10:
71 can be fit into 120 1 times, resulting in a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 9051.0281
If we take 71 away from 120, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 11:
490 divided by 71 is 6 with a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 9051.02816
If we subtract 426 from 490, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 12:
When dividing 640 by 71, we get 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 9051.028169
If we take 639 away from 640, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 13:
10 divided by 71 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 9051.028169
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 14:
When dividing 100 by 71, we get 1 with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 9051.02816901
If we subtract 71 from 100, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The final result is 9051.02816901 with a remainder of 2.9e-08.