We look at the division of 81979 by 41 
Our goal is to divide 81979 by 41.

Let's proceed to step 1:
The number 41 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 41

Going ahead to step 2:
81 divided by 41 is 1 with a remainder of 40.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 41 from 81 and we're left with 40.
Append the next digit (9) from the dividend to 40 and continue with: 409 / 41

On to step 3:
41 goes into 409 9 times with a remainder of 40.
Write down 9 as next digit of the result. 
Result so far: 19.0
The remainder is 40 after subtracting 369 from 409.
Take the next digit (7) from the dividend and append it to 40, then repeat: 407 / 41

On to step 4:
41 can be fit into 407 9 times, resulting in a remainder of 38.
The number 9 becomes the next digit in our result. 
Result so far: 199.0
Deduct 369 from 407 and we're left with 38.
Fetch the next digit (9) from the dividend, attach it to 38 and continue: 389 / 41

Step 5:
The number 41 fits into 389 9 times, leaving a remainder of 20.
Write down 9 as next digit of the result. 
Result so far: 1999.0
If we subtract 369 from 389, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 6:
When dividing 200 by 41, we get 4 with a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 1999.4
The remainder is 36 after subtracting 164 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 7:
360 divided by 41 is 8 with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 1999.48
Subtracting 328 from 360 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.

Moving on to step 8:
41 goes into 320 7 times with a remainder of 33.
Write down 7 as next digit of the result. 
Result so far: 1999.487
Deduct 287 from 320 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 9:
When dividing 330 by 41, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 1999.4878
Deduct 328 from 330 and we're left with 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 10:
41 can be fit into 20 0 times, resulting in a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 1999.4878
If we take 0 away from 20, we end up 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.

Let's proceed to step 11:
41 goes into 200 4 times with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 1999.487804
Subtract 164 from 200 to get 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 12:
The number 41 fits into 360 8 times, leaving a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 1999.4878048
Subtract 328 from 360 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 13:
The number 41 fits into 320 7 times, leaving a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 1999.48780487
Subtracting 287 from 320 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The quotient of the division is 1999.48780487, and the remainder is 3.3e-08.