We look at the division of 41975736 by 821 
Let's see how many times 821 fits into 41975736.

Step 1:
If we divide 4 by 821, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 821

Advancing to step 2:
The number 821 fits into 41 0 times, leaving a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Include the next digit (9) from the dividend after 41, then repeat: 419 / 821

Advancing to step 3:
The number 821 fits into 419 0 times, leaving a remainder of 419.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 419 leaves us with 419.
Take the next digit (7) from the dividend and append it to 419, then repeat: 4197 / 821

Let's proceed to step 4:
821 goes into 4197 5 times with a remainder of 92.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 4105 from 4197, we get 92.
Include the next digit (5) from the dividend after 92, then repeat: 925 / 821

Step 5:
821 can be fit into 925 1 times, resulting in a remainder of 104.
Write down 1 as next digit of the result. 
Result so far: 51.0
Subtracting 821 from 925 leaves us with 104.
Append the next digit (7) from the dividend to 104 and continue with: 1047 / 821

On to step 6:
If we divide 1047 by 821, we get 1 and a remainder of 226.
Put 1 as the next digit of the answer. 
Result so far: 511.0
Deduct 821 from 1047 and we're left with 226.
Grab the next digit (3) from the dividend, add it to 226, then carry on: 2263 / 821

Going ahead to step 7:
The number 821 fits into 2263 2 times, leaving a remainder of 621.
Use 2 as the next digit of our solution. 
Result so far: 5112.0
The remainder is 621 after subtracting 1642 from 2263.
Take the next digit (6) from the dividend and append it to 621, then repeat: 6216 / 821

Moving on to step 8:
6216 divided by 821 is 7 with a remainder of 469.
Record the quotient 7 as the next digit in the result. 
Result so far: 51127.0
If we take 5747 away from 6216, we end up with 469.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4690, and continue the process.

On to step 9:
821 goes into 4690 5 times with a remainder of 585.
Write down 5 as next digit of the result. 
Result so far: 51127.5
Subtract 4105 from 4690 to get 585.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5850, and continue the process.

Step 10:
When dividing 5850 by 821, we get 7 with a remainder of 103.
Record the quotient 7 as the next digit in the result. 
Result so far: 51127.57
Deduct 5747 from 5850 and we're left with 103.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1030, and continue the process.

Going ahead to step 11:
821 can be fit into 1030 1 times, resulting in a remainder of 209.
The number 1 becomes the next digit in our result. 
Result so far: 51127.571
Subtracting 821 from 1030 leaves us with 209.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2090, and continue the process.

On to step 12:
The number 821 fits into 2090 2 times, leaving a remainder of 448.
Write down 2 as next digit of the result. 
Result so far: 51127.5712
If we subtract 1642 from 2090, we get 448.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4480, and continue the process.

Moving on to step 13:
The number 821 fits into 4480 5 times, leaving a remainder of 375.
Record the quotient 5 as the next digit in the result. 
Result so far: 51127.57125
If we take 4105 away from 4480, we end up with 375.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3750, and continue the process.

Step 14:
The number 821 fits into 3750 4 times, leaving a remainder of 466.
Write down 4 as next digit of the result. 
Result so far: 51127.571254
The remainder is 466 after subtracting 3284 from 3750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4660, and continue the process.

Step 15:
821 can be fit into 4660 5 times, resulting in a remainder of 555.
Put 5 as the next digit of the answer. 
Result so far: 51127.5712545
If we take 4105 away from 4660, we end up with 555.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5550, and continue the process.

Going ahead to step 16:
821 goes into 5550 6 times with a remainder of 624.
Use 6 as the next digit of our solution. 
Result so far: 51127.57125456
Subtract 4926 from 5550 to get 624.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6240, and continue the process.

The final outcome is 51127.57125456, with a leftover of 6.24e-07.