770821 ÷ 12 
Let's see how many times 12 fits into 770821.

Advancing to step 1:
12 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 12

On to step 2:
The number 12 fits into 77 6 times, leaving a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 5 after subtracting 72 from 77.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 12

On to step 3:
If we divide 50 by 12, we get 4 and a remainder of 2.
The next digit of our result is 4. 
Result so far: 64.0
Deduct 48 from 50 and we're left with 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 12

Going ahead to step 4:
The number 12 fits into 28 2 times, leaving a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 642.0
If we subtract 24 from 28, we get 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 12

Advancing to step 5:
The number 12 fits into 42 3 times, leaving a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 6423.0
Deduct 36 from 42 and we're left with 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 12

On to step 6:
When dividing 61 by 12, we get 5 with a remainder of 1.
The next digit of our result is 5. 
Result so far: 64235.0
If we take 60 away from 61, 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 7:
The number 12 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 64235.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
12 can be fit into 100 8 times, resulting in a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 64235.08
If we take 96 away from 100, we end up 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.

Step 9:
If we divide 40 by 12, we get 3 and a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 64235.083
Subtracting 36 from 40 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.

Step 10:
12 can be fit into 40 3 times, resulting in a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 64235.0833
If we subtract 36 from 40, 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.

The quotient of the division is 64235.0833, and the remainder is 4e-05.