577854 ÷ 51 
Our goal is to divide 577854 by 51.

Going ahead to step 1:
51 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 51

Moving on to step 2:
When dividing 57 by 51, we get 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 51 from 57 to get 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 51

Step 3:
When dividing 67 by 51, we get 1 with a remainder of 16.
The next digit of our result is 1. 
Result so far: 11.0
If we take 51 away from 67, we end up with 16.
Bring next digit (8) of the dividend behind the 16 and repeat the process: 168 / 51

Moving on to step 4:
168 divided by 51 is 3 with a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 113.0
If we take 153 away from 168, we end up with 15.
Grab the next digit (5) from the dividend, add it to 15, then carry on: 155 / 51

Going ahead to step 5:
The number 51 fits into 155 3 times, leaving a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 1133.0
Deduct 153 from 155 and we're left with 2.
Fetch the next digit (4) from the dividend, attach it to 2 and continue: 24 / 51

Moving on to step 6:
51 goes into 24 0 times with a remainder of 24.
The number 0 becomes the next digit in our result. 
Result so far: 11330.0
The remainder is 24 after subtracting 0 from 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
The number 51 fits into 240 4 times, leaving a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 11330.4
Subtracting 204 from 240 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 8:
51 goes into 360 7 times with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 11330.47
If we subtract 357 from 360, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 9:
51 can be fit into 30 0 times, resulting in a remainder of 30.
The next digit of our result is 0. 
Result so far: 11330.47
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 10:
If we divide 300 by 51, we get 5 and a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 11330.4705
Subtracting 255 from 300 leaves us 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.

Let's proceed to step 11:
51 can be fit into 450 8 times, resulting in a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 11330.47058
Deduct 408 from 450 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 12:
420 divided by 51 is 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 11330.470588
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.

In conclusion, the division gives 11330.470588 with a balance of 1.2e-06.