741827 ÷ 21 
We want to figure out the number of times 741827 can be divided by 21.

On to step 1:
21 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 21

On to step 2:
21 goes into 74 3 times with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 63 from 74 and we're left with 11.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 21

Advancing to step 3:
111 divided by 21 is 5 with a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
If we subtract 105 from 111, we get 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 21

Step 4:
If we divide 68 by 21, we get 3 and a remainder of 5.
The next digit of our result is 3. 
Result so far: 353.0
Subtracting 63 from 68 leaves us with 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 21

Advancing to step 5:
When dividing 52 by 21, we get 2 with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 3532.0
If we take 42 away from 52, we end up with 10.
Take the next digit (7) from the dividend and append it to 10, then repeat: 107 / 21

Advancing to step 6:
If we divide 107 by 21, we get 5 and a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 35325.0
Subtracting 105 from 107 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.

Let's proceed to step 7:
20 divided by 21 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 35325.0
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
When dividing 200 by 21, we get 9 with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 35325.09
If we subtract 189 from 200, we get 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 9:
The number 21 fits into 110 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 35325.095
If we take 105 away from 110, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
The number 21 fits into 50 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 35325.0952
Deduct 42 from 50 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
The number 21 fits into 80 3 times, leaving a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 35325.09523
If we subtract 63 from 80, we 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.

On to step 12:
21 can be fit into 170 8 times, resulting in a remainder of 2.
The next digit of our result is 8. 
Result so far: 35325.095238
The remainder is 2 after subtracting 168 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 13:
20 divided by 21 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 35325.095238
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.

On to step 14:
21 can be fit into 200 9 times, resulting in a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 35325.09523809
Subtracting 189 from 200 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.

The final outcome is 35325.09523809, with a leftover of 1.1e-08.