380194 ÷ 51 
We want to figure out the number of times 380194 can be divided by 51.

On to step 1:
When dividing 3 by 51, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 51

Step 2:
If we divide 38 by 51, we get 0 and a remainder of 38.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 38, we get 38.
Bring next digit (0) of the dividend behind the 38 and repeat the process: 380 / 51

Let's proceed to step 3:
380 divided by 51 is 7 with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 357 away from 380, we end up with 23.
Append the next digit (1) from the dividend to 23 and continue with: 231 / 51

On to step 4:
The number 51 fits into 231 4 times, leaving a remainder of 27.
The number 4 becomes the next digit in our result. 
Result so far: 74.0
The remainder is 27 after subtracting 204 from 231.
Grab the next digit (9) from the dividend, add it to 27, then carry on: 279 / 51

Advancing to step 5:
279 divided by 51 is 5 with a remainder of 24.
The next digit of our result is 5. 
Result so far: 745.0
Subtract 255 from 279 to get 24.
Include the next digit (4) from the dividend after 24, then repeat: 244 / 51

On to step 6:
51 can be fit into 244 4 times, resulting in a remainder of 40.
The next digit of our result is 4. 
Result so far: 7454.0
If we take 204 away from 244, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 7:
51 can be fit into 400 7 times, resulting in a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 7454.7
If we take 357 away from 400, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 8:
The number 51 fits into 430 8 times, leaving a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 7454.78
Deduct 408 from 430 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 9:
51 goes into 220 4 times with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 7454.784
Subtracting 204 from 220 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
The number 51 fits into 160 3 times, leaving a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 7454.7843
The remainder is 7 after subtracting 153 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 11:
51 can be fit into 70 1 times, resulting in a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 7454.78431
If we subtract 51 from 70, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 12:
190 divided by 51 is 3 with a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 7454.784313
If we subtract 153 from 190, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 13:
51 can be fit into 370 7 times, resulting in a remainder of 13.
The next digit of our result is 7. 
Result so far: 7454.7843137
If we take 357 away from 370, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 14:
The number 51 fits into 130 2 times, leaving a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 7454.78431372
Subtract 102 from 130 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 7454.78431372 with a balance of 2.8e-08.