We look at the division of 965172 by 51 
We're looking to find how many times 51 goes into 965172.

Advancing to step 1:
9 divided by 51 is 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 51

Step 2:
96 divided by 51 is 1 with a remainder of 45.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 51 away from 96, we end up with 45.
Fetch the next digit (5) from the dividend, attach it to 45 and continue: 455 / 51

Going ahead to step 3:
If we divide 455 by 51, we get 8 and a remainder of 47.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
Subtracting 408 from 455 leaves us with 47.
Take the next digit (1) from the dividend and append it to 47, then repeat: 471 / 51

Going ahead to step 4:
471 divided by 51 is 9 with a remainder of 12.
Use 9 as the next digit of our solution. 
Result so far: 189.0
Subtract 459 from 471 to get 12.
Fetch the next digit (7) from the dividend, attach it to 12 and continue: 127 / 51

Going ahead to step 5:
51 goes into 127 2 times with a remainder of 25.
Record the quotient 2 as the next digit in the result. 
Result so far: 1892.0
Subtracting 102 from 127 leaves us with 25.
Bring next digit (2) of the dividend behind the 25 and repeat the process: 252 / 51

Going ahead to step 6:
252 divided by 51 is 4 with a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 18924.0
If we subtract 204 from 252, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 7:
If we divide 480 by 51, we get 9 and a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 18924.9
The remainder is 21 after subtracting 459 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 8:
If we divide 210 by 51, we get 4 and a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 18924.94
Subtracting 204 from 210 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
51 goes into 60 1 times with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 18924.941
The remainder is 9 after subtracting 51 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 10:
The number 51 fits into 90 1 times, leaving a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 18924.9411
Subtracting 51 from 90 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The quotient of the division is 18924.9411, and the remainder is 0.00039.