Let's divide 41941 by 31
We're looking to find how many times 31 goes into 41941.

Advancing to step 1:
31 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 31

Advancing to step 2:
41 divided by 31 is 1 with a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 31 away from 41, we end up with 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 31

Let's proceed to step 3:
When dividing 109 by 31, we get 3 with a remainder of 16.
The next digit of our result is 3. 
Result so far: 13.0
If we take 93 away from 109, we end up with 16.
Bring next digit (4) of the dividend behind the 16 and repeat the process: 164 / 31

Advancing to step 4:
164 divided by 31 is 5 with a remainder of 9.
Use 5 as the next digit of our solution. 
Result so far: 135.0
Subtract 155 from 164 to get 9.
Fetch the next digit (1) from the dividend, attach it to 9 and continue: 91 / 31

Step 5:
91 divided by 31 is 2 with a remainder of 29.
The number 2 becomes the next digit in our result. 
Result so far: 1352.0
If we take 62 away from 91, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 6:
The number 31 fits into 290 9 times, leaving a remainder of 11.
The next digit of our result is 9. 
Result so far: 1352.9
Subtracting 279 from 290 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
31 goes into 110 3 times with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 1352.93
Subtract 93 from 110 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.

Advancing to step 8:
The number 31 fits into 170 5 times, leaving a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 1352.935
If we take 155 away from 170, we end up 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.

Moving on to step 9:
31 can be fit into 150 4 times, resulting in a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 1352.9354
If we take 124 away from 150, we end up with 26.
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 10:
The number 31 fits into 260 8 times, leaving a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 1352.93548
Deduct 248 from 260 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 11:
31 can be fit into 120 3 times, resulting in a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 1352.935483
If we take 93 away from 120, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 12:
270 divided by 31 is 8 with a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 1352.9354838
Subtracting 248 from 270 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 13:
220 divided by 31 is 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 1352.93548387
Deduct 217 from 220 and we're left 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.

After the division, we end up with 1352.93548387 and a remainder of 3e-09.