We're dividing 380324 by 51 
We want to figure out the number of times 380324 can be divided by 51.

Step 1:
51 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 51

Advancing to step 2:
38 divided by 51 is 0 with a remainder of 38.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 38 leaves us with 38.
Append the next digit (0) from the dividend to 38 and continue with: 380 / 51

Moving on to step 3:
If we divide 380 by 51, we get 7 and a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtracting 357 from 380 leaves us with 23.
Fetch the next digit (3) from the dividend, attach it to 23 and continue: 233 / 51

Let's proceed to step 4:
The number 51 fits into 233 4 times, leaving a remainder of 29.
The number 4 becomes the next digit in our result. 
Result so far: 74.0
Deduct 204 from 233 and we're left with 29.
Fetch the next digit (2) from the dividend, attach it to 29 and continue: 292 / 51

Step 5:
When dividing 292 by 51, we get 5 with a remainder of 37.
Write down 5 as next digit of the result. 
Result so far: 745.0
Subtract 255 from 292 to get 37.
Include the next digit (4) from the dividend after 37, then repeat: 374 / 51

Let's proceed to step 6:
If we divide 374 by 51, we get 7 and a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 7457.0
Deduct 357 from 374 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 7:
51 can be fit into 170 3 times, resulting in a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 7457.3
If we subtract 153 from 170, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 8:
The number 51 fits into 170 3 times, leaving a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 7457.33
The remainder is 17 after subtracting 153 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The final result is 7457.33 with a remainder of 0.017.