We look at the division of 605424 by 51 
Let's see how many times 51 fits into 605424.

Moving on to step 1:
6 divided by 51 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 51

Let's proceed to step 2:
60 divided by 51 is 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 51 from 60 and we're left with 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 51

Advancing to step 3:
When dividing 95 by 51, we get 1 with a remainder of 44.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtract 51 from 95 to get 44.
Take the next digit (4) from the dividend and append it to 44, then repeat: 444 / 51

Going ahead to step 4:
444 divided by 51 is 8 with a remainder of 36.
The next digit of our result is 8. 
Result so far: 118.0
The remainder is 36 after subtracting 408 from 444.
Bring next digit (2) of the dividend behind the 36 and repeat the process: 362 / 51

Step 5:
51 can be fit into 362 7 times, resulting in a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 1187.0
If we take 357 away from 362, we end up with 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 51

Step 6:
The number 51 fits into 54 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 11871.0
Subtract 51 from 54 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
The number 51 fits into 30 0 times, leaving a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 11871.0
The remainder is 30 after subtracting 0 from 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 8:
The number 51 fits into 300 5 times, leaving a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 11871.05
Deduct 255 from 300 and we're left 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.

Going ahead to step 9:
If we divide 450 by 51, we get 8 and a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 11871.058
Deduct 408 from 450 and we're left with 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 10:
51 goes into 420 8 times with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 11871.0588
Subtract 408 from 420 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 11871.0588 and a remainder of 0.00012.