We look at the division of 307625 by 51 
We're looking to find how many times 51 goes into 307625.

Advancing to step 1:
51 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 51

Moving on to step 2:
When dividing 30 by 51, we get 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 30 after subtracting 0 from 30.
Fetch the next digit (7) from the dividend, attach it to 30 and continue: 307 / 51

Let's proceed to step 3:
If we divide 307 by 51, we get 6 and a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 306 from 307 leaves us with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 51

Step 4:
The number 51 fits into 16 0 times, leaving a remainder of 16.
Record the quotient 0 as the next digit in the result. 
Result so far: 60.0
If we subtract 0 from 16, we get 16.
Append the next digit (2) from the dividend to 16 and continue with: 162 / 51

Going ahead to step 5:
162 divided by 51 is 3 with a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 603.0
Deduct 153 from 162 and we're left with 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 51

On to step 6:
95 divided by 51 is 1 with a remainder of 44.
Record the quotient 1 as the next digit in the result. 
Result so far: 6031.0
If we take 51 away from 95, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 7:
The number 51 fits into 440 8 times, leaving a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 6031.8
If we subtract 408 from 440, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 8:
320 divided by 51 is 6 with a remainder of 14.
The next digit of our result is 6. 
Result so far: 6031.86
Subtract 306 from 320 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 9:
140 divided by 51 is 2 with a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 6031.862
The remainder is 38 after subtracting 102 from 140.
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 10:
380 divided by 51 is 7 with a remainder of 23.
The next digit of our result is 7. 
Result so far: 6031.8627
The remainder is 23 after subtracting 357 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 11:
When dividing 230 by 51, we get 4 with a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 6031.86274
Deduct 204 from 230 and we're left with 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 12:
51 can be fit into 260 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 6031.862745
If we subtract 255 from 260, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 13:
51 goes into 50 0 times with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 6031.862745
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 14:
51 goes into 500 9 times with a remainder of 41.
Use 9 as the next digit of our solution. 
Result so far: 6031.86274509
Subtracting 459 from 500 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

After the division, we end up with 6031.86274509 and a remainder of 4.1e-08.