We look at the division of 503408 by 51 
Our goal is to divide 503408 by 51.

Let's proceed to step 1:
If we divide 5 by 51, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 51

Moving on to step 2:
If we divide 50 by 51, we get 0 and a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 50 and we're left with 50.
Include the next digit (3) from the dividend after 50, then repeat: 503 / 51

On to step 3:
The number 51 fits into 503 9 times, leaving a remainder of 44.
Put 9 as the next digit of the answer. 
Result so far: 9.0
If we subtract 459 from 503, we get 44.
Bring next digit (4) of the dividend behind the 44 and repeat the process: 444 / 51

On to step 4:
When dividing 444 by 51, we get 8 with a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 98.0
Deduct 408 from 444 and we're left with 36.
Include the next digit (0) from the dividend after 36, then repeat: 360 / 51

Step 5:
51 can be fit into 360 7 times, resulting in a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 987.0
Deduct 357 from 360 and we're left with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 51

Moving on to step 6:
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: 9870.0
If we take 0 away from 38, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 7:
51 can be fit into 380 7 times, resulting in a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 9870.7
Subtract 357 from 380 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 8:
51 can be fit into 230 4 times, resulting in a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 9870.74
Subtract 204 from 230 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 9:
When dividing 260 by 51, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 9870.745
Subtracting 255 from 260 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 10:
50 divided by 51 is 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 9870.745
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 11:
500 divided by 51 is 9 with a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 9870.74509
If we subtract 459 from 500, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 12:
51 can be fit into 410 8 times, resulting in a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 9870.745098
The remainder is 2 after subtracting 408 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 13:
51 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 9870.745098
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 14:
51 can be fit into 200 3 times, resulting in a remainder of 47.
Use 3 as the next digit of our solution. 
Result so far: 9870.74509803
If we take 153 away from 200, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

In conclusion, the division gives 9870.74509803 with a balance of 4.7e-08.