We're dividing 821218 by 755 
We're looking to find how many times 755 goes into 821218.

Going ahead to step 1:
The number 755 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 755

Going ahead to step 2:
If we divide 82 by 755, we get 0 and a remainder of 82.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 82 after subtracting 0 from 82.
Append the next digit (1) from the dividend to 82 and continue with: 821 / 755

Going ahead to step 3:
If we divide 821 by 755, we get 1 and a remainder of 66.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 755 from 821 leaves us with 66.
Bring next digit (2) of the dividend behind the 66 and repeat the process: 662 / 755

Advancing to step 4:
When dividing 662 by 755, we get 0 with a remainder of 662.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtracting 0 from 662 leaves us with 662.
Include the next digit (1) from the dividend after 662, then repeat: 6621 / 755

Step 5:
When dividing 6621 by 755, we get 8 with a remainder of 581.
Record the quotient 8 as the next digit in the result. 
Result so far: 108.0
Deduct 6040 from 6621 and we're left with 581.
Append the next digit (8) from the dividend to 581 and continue with: 5818 / 755

Going ahead to step 6:
When dividing 5818 by 755, we get 7 with a remainder of 533.
Use 7 as the next digit of our solution. 
Result so far: 1087.0
Subtracting 5285 from 5818 leaves us with 533.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5330, and continue the process.

Going ahead to step 7:
755 goes into 5330 7 times with a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 1087.7
Subtracting 5285 from 5330 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 8:
If we divide 450 by 755, we get 0 and a remainder of 450.
Use 0 as the next digit of our solution. 
Result so far: 1087.7
The remainder is 450 after subtracting 0 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4500, and continue the process.

Let's proceed to step 9:
When dividing 4500 by 755, we get 5 with a remainder of 725.
Record the quotient 5 as the next digit in the result. 
Result so far: 1087.705
If we take 3775 away from 4500, we end up with 725.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7250, and continue the process.

Advancing to step 10:
When dividing 7250 by 755, we get 9 with a remainder of 455.
Write down 9 as next digit of the result. 
Result so far: 1087.7059
Subtracting 6795 from 7250 leaves us with 455.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4550, and continue the process.

Advancing to step 11:
The number 755 fits into 4550 6 times, leaving a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 1087.70596
Subtracting 4530 from 4550 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.

Let's proceed to step 12:
When dividing 200 by 755, we get 0 with a remainder of 200.
The next digit of our result is 0. 
Result so far: 1087.70596
The remainder is 200 after subtracting 0 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Going ahead to step 13:
When dividing 2000 by 755, we get 2 with a remainder of 490.
Write down 2 as next digit of the result. 
Result so far: 1087.7059602
Deduct 1510 from 2000 and we're left with 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4900, and continue the process.

On to step 14:
755 can be fit into 4900 6 times, resulting in a remainder of 370.
Use 6 as the next digit of our solution. 
Result so far: 1087.70596026
Subtract 4530 from 4900 to get 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3700, and continue the process.

The final result is 1087.70596026 with a remainder of 3.7e-07.