We're dividing 71941 by 23 
We want to figure out the number of times 71941 can be divided by 23.

Going ahead to step 1:
23 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 23

Going ahead to step 2:
When dividing 71 by 23, we get 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 69 from 71 and we're left with 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 23

Going ahead to step 3:
29 divided by 23 is 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 31.0
If we take 23 away from 29, we end up with 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 23

On to step 4:
64 divided by 23 is 2 with a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 312.0
Deduct 46 from 64 and we're left with 18.
Append the next digit (1) from the dividend to 18 and continue with: 181 / 23

Advancing to step 5:
The number 23 fits into 181 7 times, leaving a remainder of 20.
The number 7 becomes the next digit in our result. 
Result so far: 3127.0
Subtracting 161 from 181 leaves us 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.

Moving on to step 6:
The number 23 fits into 200 8 times, leaving a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 3127.8
The remainder is 16 after subtracting 184 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 7:
If we divide 160 by 23, we get 6 and a remainder of 22.
Write down 6 as next digit of the result. 
Result so far: 3127.86
Subtract 138 from 160 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 8:
When dividing 220 by 23, we get 9 with a remainder of 13.
The next digit of our result is 9. 
Result so far: 3127.869
The remainder is 13 after subtracting 207 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 9:
If we divide 130 by 23, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 3127.8695
Deduct 115 from 130 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 10:
150 divided by 23 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 3127.86956
The remainder is 12 after subtracting 138 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 11:
If we divide 120 by 23, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 3127.869565
Subtracting 115 from 120 leaves us 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 12:
23 goes into 50 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 3127.8695652
If we subtract 46 from 50, we 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.

Going ahead to step 13:
40 divided by 23 is 1 with a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 3127.86956521
The remainder is 17 after subtracting 23 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Our division results in 3127.86956521 with a remaining 1.7e-08.