621669 ÷ 51 
We want to divide 621669 by 51.

Moving on to step 1:
6 divided by 51 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 51

On to step 2:
51 goes into 62 1 times with a remainder of 11.
The next digit of our result is 1. 
Result so far: 1.0
If we take 51 away from 62, we end up with 11.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 51

Moving on to step 3:
If we divide 111 by 51, we get 2 and a remainder of 9.
The next digit of our result is 2. 
Result so far: 12.0
Subtract 102 from 111 to get 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 51

Step 4:
51 can be fit into 96 1 times, resulting in a remainder of 45.
Record the quotient 1 as the next digit in the result. 
Result so far: 121.0
If we subtract 51 from 96, we get 45.
Append the next digit (6) from the dividend to 45 and continue with: 456 / 51

Step 5:
51 goes into 456 8 times with a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 1218.0
If we subtract 408 from 456, we get 48.
Include the next digit (9) from the dividend after 48, then repeat: 489 / 51

Let's proceed to step 6:
If we divide 489 by 51, we get 9 and a remainder of 30.
Put 9 as the next digit of the answer. 
Result so far: 12189.0
Subtracting 459 from 489 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
When dividing 300 by 51, we get 5 with a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 12189.5
Subtracting 255 from 300 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.

Step 8:
The number 51 fits into 450 8 times, leaving a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 12189.58
The remainder is 42 after subtracting 408 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 9:
420 divided by 51 is 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 12189.588
If we take 408 away from 420, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The quotient of the division is 12189.588, and the remainder is 0.0012.