We're dividing 657801 by 51 
We want to divide 657801 by 51.

Advancing to step 1:
If we divide 6 by 51, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 51

Step 2:
51 goes into 65 1 times with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 51 from 65, we get 14.
Append the next digit (7) from the dividend to 14 and continue with: 147 / 51

On to step 3:
51 goes into 147 2 times with a remainder of 45.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we subtract 102 from 147, we get 45.
Take the next digit (8) from the dividend and append it to 45, then repeat: 458 / 51

Moving on to step 4:
458 divided by 51 is 8 with a remainder of 50.
Write down 8 as next digit of the result. 
Result so far: 128.0
If we subtract 408 from 458, we get 50.
Grab the next digit (0) from the dividend, add it to 50, then carry on: 500 / 51

Advancing to step 5:
500 divided by 51 is 9 with a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 1289.0
If we take 459 away from 500, we end up with 41.
Fetch the next digit (1) from the dividend, attach it to 41 and continue: 411 / 51

Advancing to step 6:
If we divide 411 by 51, we get 8 and a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 12898.0
The remainder is 3 after subtracting 408 from 411.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
If we divide 30 by 51, we get 0 and a remainder of 30.
The next digit of our result is 0. 
Result so far: 12898.0
Deduct 0 from 30 and we're left 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.

Step 8:
51 can be fit into 300 5 times, resulting in a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 12898.05
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.

Advancing to step 9:
When dividing 450 by 51, we get 8 with a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 12898.058
Subtract 408 from 450 to 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.

On to step 10:
If we divide 420 by 51, we get 8 and a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 12898.0588
If we subtract 408 from 420, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 12898.0588 and a remainder of 0.00012.