We look at the division of 121666 by 41 
Our goal is to divide 121666 by 41.

Moving on to step 1:
If we divide 1 by 41, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 41

Going ahead to step 2:
41 can be fit into 12 0 times, resulting in a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 41

On to step 3:
If we divide 121 by 41, we get 2 and a remainder of 39.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 82 from 121 to get 39.
Bring next digit (6) of the dividend behind the 39 and repeat the process: 396 / 41

Step 4:
41 goes into 396 9 times with a remainder of 27.
Record the quotient 9 as the next digit in the result. 
Result so far: 29.0
Deduct 369 from 396 and we're left with 27.
Append the next digit (6) from the dividend to 27 and continue with: 276 / 41

On to step 5:
When dividing 276 by 41, we get 6 with a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 296.0
Deduct 246 from 276 and we're left with 30.
Grab the next digit (6) from the dividend, add it to 30, then carry on: 306 / 41

Advancing to step 6:
306 divided by 41 is 7 with a remainder of 19.
Put 7 as the next digit of the answer. 
Result so far: 2967.0
If we subtract 287 from 306, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
When dividing 190 by 41, we get 4 with a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 2967.4
The remainder is 26 after subtracting 164 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 8:
When dividing 260 by 41, we get 6 with a remainder of 14.
The next digit of our result is 6. 
Result so far: 2967.46
If we subtract 246 from 260, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 9:
When dividing 140 by 41, we get 3 with a remainder of 17.
The next digit of our result is 3. 
Result so far: 2967.463
The remainder is 17 after subtracting 123 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 10:
The number 41 fits into 170 4 times, leaving a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 2967.4634
Deduct 164 from 170 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 11:
60 divided by 41 is 1 with a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 2967.46341
Subtracting 41 from 60 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 12:
The number 41 fits into 190 4 times, leaving a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 2967.463414
The remainder is 26 after subtracting 164 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 13:
260 divided by 41 is 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 2967.4634146
Subtracting 246 from 260 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 14:
41 goes into 140 3 times with a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 2967.46341463
Subtract 123 from 140 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The final result is 2967.46341463 with a remainder of 1.7e-08.