Let's divide 37117 by 41
We're looking to find how many times 41 goes into 37117.

On to step 1:
The number 41 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 41

Step 2:
The number 41 fits into 37 0 times, leaving a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Grab the next digit (1) from the dividend, add it to 37, then carry on: 371 / 41

Moving on to step 3:
If we divide 371 by 41, we get 9 and a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we take 369 away from 371, we end up with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 41

Step 4:
When dividing 21 by 41, we get 0 with a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 90.0
If we subtract 0 from 21, we get 21.
Append the next digit (7) from the dividend to 21 and continue with: 217 / 41

Advancing to step 5:
When dividing 217 by 41, we get 5 with a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 905.0
Subtracting 205 from 217 leaves us 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 6:
41 can be fit into 120 2 times, resulting in a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 905.2
Subtracting 82 from 120 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 7:
The number 41 fits into 380 9 times, leaving a remainder of 11.
The next digit of our result is 9. 
Result so far: 905.29
The remainder is 11 after subtracting 369 from 380.
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 8:
41 can be fit into 110 2 times, resulting in a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 905.292
If we take 82 away from 110, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 9:
280 divided by 41 is 6 with a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 905.2926
If we take 246 away from 280, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 10:
The number 41 fits into 340 8 times, leaving a remainder of 12.
The next digit of our result is 8. 
Result so far: 905.29268
Subtracting 328 from 340 leaves us 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.

Moving on to step 11:
41 goes into 120 2 times with a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 905.292682
Deduct 82 from 120 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 12:
380 divided by 41 is 9 with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 905.2926829
Deduct 369 from 380 and we're left 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.

Let's proceed to step 13:
When dividing 110 by 41, we get 2 with a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 905.29268292
The remainder is 28 after subtracting 82 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final outcome is 905.29268292, with a leftover of 2.8e-08.