774568 ÷ 21 
We want to figure out the number of times 774568 can be divided by 21.

On to step 1:
21 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 21

Step 2:
21 can be fit into 77 3 times, resulting in a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 63 from 77 to get 14.
Take the next digit (4) from the dividend and append it to 14, then repeat: 144 / 21

Let's proceed to step 3:
144 divided by 21 is 6 with a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 36.0
If we subtract 126 from 144, we get 18.
Grab the next digit (5) from the dividend, add it to 18, then carry on: 185 / 21

Step 4:
185 divided by 21 is 8 with a remainder of 17.
Use 8 as the next digit of our solution. 
Result so far: 368.0
If we subtract 168 from 185, we get 17.
Include the next digit (6) from the dividend after 17, then repeat: 176 / 21

Advancing to step 5:
21 goes into 176 8 times with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 3688.0
Subtracting 168 from 176 leaves us with 8.
Append the next digit (8) from the dividend to 8 and continue with: 88 / 21

Going ahead to step 6:
88 divided by 21 is 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 36884.0
If we subtract 84 from 88, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
21 goes into 40 1 times with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 36884.1
If we subtract 21 from 40, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 8:
190 divided by 21 is 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 36884.19
Subtracting 189 from 190 leaves us 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.

On to step 9:
When dividing 10 by 21, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 36884.19
Deduct 0 from 10 and we're left 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.

Let's proceed to step 10:
The number 21 fits into 100 4 times, leaving a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 36884.1904
Deduct 84 from 100 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.

Moving on to step 11:
21 can be fit into 160 7 times, resulting in a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 36884.19047
If we take 147 away from 160, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 12:
21 can be fit into 130 6 times, resulting in a remainder of 4.
The next digit of our result is 6. 
Result so far: 36884.190476
Subtracting 126 from 130 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 13:
21 goes into 40 1 times with a remainder of 19.
The next digit of our result is 1. 
Result so far: 36884.1904761
Deduct 21 from 40 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 14:
The number 21 fits into 190 9 times, leaving a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 36884.19047619
Subtracting 189 from 190 leaves us 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.

The quotient of the division is 36884.19047619, and the remainder is 1e-09.