675984 divided by 51 
We want to figure out the number of times 675984 can be divided by 51.

On to step 1:
When dividing 6 by 51, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 51

Advancing to step 2:
51 goes into 67 1 times with a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 51 from 67 leaves us with 16.
Bring next digit (5) of the dividend behind the 16 and repeat the process: 165 / 51

Let's proceed to step 3:
When dividing 165 by 51, we get 3 with a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we take 153 away from 165, we end up with 12.
Append the next digit (9) from the dividend to 12 and continue with: 129 / 51

On to step 4:
The number 51 fits into 129 2 times, leaving a remainder of 27.
Write down 2 as next digit of the result. 
Result so far: 132.0
If we subtract 102 from 129, we get 27.
Append the next digit (8) from the dividend to 27 and continue with: 278 / 51

Going ahead to step 5:
51 goes into 278 5 times with a remainder of 23.
The next digit of our result is 5. 
Result so far: 1325.0
If we take 255 away from 278, we end up with 23.
Fetch the next digit (4) from the dividend, attach it to 23 and continue: 234 / 51

On to step 6:
When dividing 234 by 51, we get 4 with a remainder of 30.
Write down 4 as next digit of the result. 
Result so far: 13254.0
If we take 204 away from 234, we end up 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:
51 can be fit into 300 5 times, resulting in a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 13254.5
If we subtract 255 from 300, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 8:
When dividing 450 by 51, we get 8 with a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 13254.58
Subtract 408 from 450 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 9:
420 divided by 51 is 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 13254.588
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 13254.588, and the remainder is 0.0012.