We're dividing 123643 by 71 
Our goal is to divide 123643 by 71.

Step 1:
71 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 71

Let's proceed to step 2:
If we divide 12 by 71, we get 0 and a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 71

Going ahead to step 3:
123 divided by 71 is 1 with a remainder of 52.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 71 from 123 leaves us with 52.
Take the next digit (6) from the dividend and append it to 52, then repeat: 526 / 71

Let's proceed to step 4:
526 divided by 71 is 7 with a remainder of 29.
Use 7 as the next digit of our solution. 
Result so far: 17.0
The remainder is 29 after subtracting 497 from 526.
Append the next digit (4) from the dividend to 29 and continue with: 294 / 71

Step 5:
The number 71 fits into 294 4 times, leaving a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 174.0
Subtracting 284 from 294 leaves us with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 71

On to step 6:
If we divide 103 by 71, we get 1 and a remainder of 32.
Write down 1 as next digit of the result. 
Result so far: 1741.0
Subtracting 71 from 103 leaves us 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 7:
When dividing 320 by 71, we get 4 with a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 1741.4
Deduct 284 from 320 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 8:
If we divide 360 by 71, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 1741.45
If we take 355 away from 360, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 9:
71 can be fit into 50 0 times, resulting in a remainder of 50.
The next digit of our result is 0. 
Result so far: 1741.45
If we subtract 0 from 50, we 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.

Step 10:
71 goes into 500 7 times with a remainder of 3.
The next digit of our result is 7. 
Result so far: 1741.4507
If we take 497 away from 500, we end up 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.

Going ahead to step 11:
71 can be fit into 30 0 times, resulting in a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 1741.4507
If we subtract 0 from 30, we get 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 12:
If we divide 300 by 71, we get 4 and a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 1741.450704
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.

On to step 13:
71 goes into 160 2 times with a remainder of 18.
The next digit of our result is 2. 
Result so far: 1741.4507042
Subtracting 142 from 160 leaves us 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.

Advancing to step 14:
If we divide 180 by 71, we get 2 and a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 1741.45070422
If we subtract 142 from 180, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The final result is 1741.45070422 with a remainder of 3.8e-08.