We're dividing 457945 by 41 
We want to figure out the number of times 457945 can be divided by 41.

On to step 1:
4 divided by 41 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 41

Step 2:
If we divide 45 by 41, we get 1 and a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 4 after subtracting 41 from 45.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 41

Advancing to step 3:
When dividing 47 by 41, we get 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtracting 41 from 47 leaves us with 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 41

Advancing to step 4:
41 goes into 69 1 times with a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 111.0
Subtracting 41 from 69 leaves us with 28.
Grab the next digit (4) from the dividend, add it to 28, then carry on: 284 / 41

Let's proceed to step 5:
The number 41 fits into 284 6 times, leaving a remainder of 38.
Write down 6 as next digit of the result. 
Result so far: 1116.0
Deduct 246 from 284 and we're left with 38.
Append the next digit (5) from the dividend to 38 and continue with: 385 / 41

Let's proceed to step 6:
41 goes into 385 9 times with a remainder of 16.
Use 9 as the next digit of our solution. 
Result so far: 11169.0
If we subtract 369 from 385, we get 16.
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:
41 goes into 160 3 times with a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 11169.3
The remainder is 37 after subtracting 123 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 8:
The number 41 fits into 370 9 times, leaving a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 11169.39
If we take 369 away from 370, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 9:
When dividing 10 by 41, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 11169.39
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 10:
41 can be fit into 100 2 times, resulting in a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 11169.3902
The remainder is 18 after subtracting 82 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 11:
The number 41 fits into 180 4 times, leaving a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 11169.39024
Subtract 164 from 180 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 12:
When dividing 160 by 41, we get 3 with a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 11169.390243
Subtract 123 from 160 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 13:
If we divide 370 by 41, we get 9 and a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 11169.3902439
Subtract 369 from 370 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 14:
41 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 11169.3902439
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 11169.3902439 with a remainder of 1e-08.