21041 ÷ 46 
We're looking to find how many times 46 goes into 21041.

Step 1:
If we divide 2 by 46, we get 0 and a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 46

Advancing to step 2:
46 can be fit into 21 0 times, resulting in a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 21, we end up with 21.
Include the next digit (0) from the dividend after 21, then repeat: 210 / 46

On to step 3:
The number 46 fits into 210 4 times, leaving a remainder of 26.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 26 after subtracting 184 from 210.
Bring next digit (4) of the dividend behind the 26 and repeat the process: 264 / 46

Going ahead to step 4:
If we divide 264 by 46, we get 5 and a remainder of 34.
The number 5 becomes the next digit in our result. 
Result so far: 45.0
If we take 230 away from 264, we end up with 34.
Bring next digit (1) of the dividend behind the 34 and repeat the process: 341 / 46

Moving on to step 5:
The number 46 fits into 341 7 times, leaving a remainder of 19.
The next digit of our result is 7. 
Result so far: 457.0
The remainder is 19 after subtracting 322 from 341.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 6:
When dividing 190 by 46, we get 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 457.4
Deduct 184 from 190 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.

Moving on to step 7:
The number 46 fits into 60 1 times, leaving a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 457.41
If we take 46 away from 60, we end up 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.

Let's proceed to step 8:
If we divide 140 by 46, we get 3 and a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 457.413
Subtracting 138 from 140 leaves us 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 9:
46 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 457.413
Subtract 0 from 20 to 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.

Moving on to step 10:
200 divided by 46 is 4 with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 457.41304
Deduct 184 from 200 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 11:
The number 46 fits into 160 3 times, leaving a remainder of 22.
Write down 3 as next digit of the result. 
Result so far: 457.413043
If we subtract 138 from 160, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 12:
46 can be fit into 220 4 times, resulting in a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 457.4130434
Deduct 184 from 220 and we're left with 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 13:
360 divided by 46 is 7 with a remainder of 38.
Write down 7 as next digit of the result. 
Result so far: 457.41304347
Subtracting 322 from 360 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.

The quotient of the division is 457.41304347, and the remainder is 3.8e-08.