19290 ÷ 51 
We want to figure out the number of times 19290 can be divided by 51.

Step 1:
51 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 51

Going ahead to step 2:
If we divide 19 by 51, we get 0 and a remainder of 19.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 19, we end up with 19.
Include the next digit (2) from the dividend after 19, then repeat: 192 / 51

Let's proceed to step 3:
The number 51 fits into 192 3 times, leaving a remainder of 39.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 39 after subtracting 153 from 192.
Bring next digit (9) of the dividend behind the 39 and repeat the process: 399 / 51

Step 4:
The number 51 fits into 399 7 times, leaving a remainder of 42.
Put 7 as the next digit of the answer. 
Result so far: 37.0
The remainder is 42 after subtracting 357 from 399.
Take the next digit (0) from the dividend and append it to 42, then repeat: 420 / 51

Step 5:
51 can be fit into 420 8 times, resulting in a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 378.0
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.

Let's proceed to step 6:
51 can be fit into 120 2 times, resulting in a remainder of 18.
The next digit of our result is 2. 
Result so far: 378.2
If we subtract 102 from 120, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 7:
If we divide 180 by 51, we get 3 and a remainder of 27.
The next digit of our result is 3. 
Result so far: 378.23
Subtracting 153 from 180 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 8:
If we divide 270 by 51, we get 5 and a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 378.235
If we take 255 away from 270, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 9:
150 divided by 51 is 2 with a remainder of 48.
The next digit of our result is 2. 
Result so far: 378.2352
Subtract 102 from 150 to 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.

Step 10:
51 can be fit into 480 9 times, resulting in a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 378.23529
If we subtract 459 from 480, we 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.

Moving on to step 11:
When dividing 210 by 51, we get 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 378.235294
The remainder is 6 after subtracting 204 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
The number 51 fits into 60 1 times, leaving a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 378.2352941
Deduct 51 from 60 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 13:
51 can be fit into 90 1 times, resulting in a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 378.23529411
If we take 51 away from 90, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

In conclusion, the division gives 378.23529411 with a balance of 3.9e-08.