We're dividing 381834 by 51 
We're looking to find how many times 51 goes into 381834.

Step 1:
When dividing 3 by 51, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 51

On to step 2:
51 can be fit into 38 0 times, resulting in a remainder of 38.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 38 after subtracting 0 from 38.
Take the next digit (1) from the dividend and append it to 38, then repeat: 381 / 51

Going ahead to step 3:
51 goes into 381 7 times with a remainder of 24.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 24 after subtracting 357 from 381.
Take the next digit (8) from the dividend and append it to 24, then repeat: 248 / 51

On to step 4:
51 can be fit into 248 4 times, resulting in a remainder of 44.
The next digit of our result is 4. 
Result so far: 74.0
Subtract 204 from 248 to get 44.
Include the next digit (3) from the dividend after 44, then repeat: 443 / 51

Advancing to step 5:
51 goes into 443 8 times with a remainder of 35.
The number 8 becomes the next digit in our result. 
Result so far: 748.0
Subtract 408 from 443 to get 35.
Bring next digit (4) of the dividend behind the 35 and repeat the process: 354 / 51

Moving on to step 6:
354 divided by 51 is 6 with a remainder of 48.
Put 6 as the next digit of the answer. 
Result so far: 7486.0
If we subtract 306 from 354, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 7:
When dividing 480 by 51, we get 9 with a remainder of 21.
The next digit of our result is 9. 
Result so far: 7486.9
Subtract 459 from 480 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 8:
When dividing 210 by 51, we get 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 7486.94
Subtracting 204 from 210 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 9:
If we divide 60 by 51, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 7486.941
If we subtract 51 from 60, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 10:
The number 51 fits into 90 1 times, leaving a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 7486.9411
Subtract 51 from 90 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The quotient of the division is 7486.9411, and the remainder is 0.00039.