606193 ÷ 51 
Our goal is to divide 606193 by 51.

Step 1:
51 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 51

On to step 2:
If we divide 60 by 51, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 51 from 60, we get 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 51

Step 3:
The number 51 fits into 96 1 times, leaving a remainder of 45.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we subtract 51 from 96, we get 45.
Fetch the next digit (1) from the dividend, attach it to 45 and continue: 451 / 51

On to step 4:
451 divided by 51 is 8 with a remainder of 43.
Put 8 as the next digit of the answer. 
Result so far: 118.0
If we subtract 408 from 451, we get 43.
Include the next digit (9) from the dividend after 43, then repeat: 439 / 51

On to step 5:
51 goes into 439 8 times with a remainder of 31.
The number 8 becomes the next digit in our result. 
Result so far: 1188.0
Subtracting 408 from 439 leaves us with 31.
Take the next digit (3) from the dividend and append it to 31, then repeat: 313 / 51

Moving on to step 6:
51 can be fit into 313 6 times, resulting in a remainder of 7.
Record the quotient 6 as the next digit in the result. 
Result so far: 11886.0
The remainder is 7 after subtracting 306 from 313.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
When dividing 70 by 51, we get 1 with a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 11886.1
Subtracting 51 from 70 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 8:
190 divided by 51 is 3 with a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 11886.13
If we take 153 away from 190, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 9:
When dividing 370 by 51, we get 7 with a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 11886.137
Subtract 357 from 370 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 10:
When dividing 130 by 51, we get 2 with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 11886.1372
Subtract 102 from 130 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 11:
51 can be fit into 280 5 times, resulting in a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 11886.13725
The remainder is 25 after subtracting 255 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 12:
51 goes into 250 4 times with a remainder of 46.
The next digit of our result is 4. 
Result so far: 11886.137254
If we take 204 away from 250, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 13:
51 goes into 460 9 times with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 11886.1372549
If we take 459 away from 460, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 14:
10 divided by 51 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 11886.1372549
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 11886.1372549 with a balance of 1e-08.