We look at the division of 603978 by 51 
Our goal is to divide 603978 by 51.

Moving on to step 1:
51 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 51

Moving on to step 2:
51 can be fit into 60 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 51 from 60 and we're left with 9.
Include the next digit (3) from the dividend after 9, then repeat: 93 / 51

Step 3:
If we divide 93 by 51, we get 1 and a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtracting 51 from 93 leaves us with 42.
Bring next digit (9) of the dividend behind the 42 and repeat the process: 429 / 51

Step 4:
51 can be fit into 429 8 times, resulting in a remainder of 21.
Use 8 as the next digit of our solution. 
Result so far: 118.0
Subtract 408 from 429 to get 21.
Bring next digit (7) of the dividend behind the 21 and repeat the process: 217 / 51

Advancing to step 5:
51 goes into 217 4 times with a remainder of 13.
Write down 4 as next digit of the result. 
Result so far: 1184.0
Subtract 204 from 217 to get 13.
Take the next digit (8) from the dividend and append it to 13, then repeat: 138 / 51

Moving on to step 6:
51 goes into 138 2 times with a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 11842.0
The remainder is 36 after subtracting 102 from 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 7:
If we divide 360 by 51, we get 7 and a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 11842.7
Subtracting 357 from 360 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 8:
51 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 11842.7
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 9:
51 goes into 300 5 times with a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 11842.705
If we take 255 away from 300, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 10:
51 goes into 450 8 times with a remainder of 42.
The next digit of our result is 8. 
Result so far: 11842.7058
If we subtract 408 from 450, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 11:
420 divided by 51 is 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 11842.70588
The remainder is 12 after subtracting 408 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final outcome is 11842.70588, with a leftover of 1.2e-05.