960602 ÷ 51 
Our goal is to divide 960602 by 51.

Moving on to step 1:
When dividing 9 by 51, we get 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 51

Going ahead to step 2:
The number 51 fits into 96 1 times, leaving a remainder of 45.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 51 from 96 leaves us with 45.
Grab the next digit (0) from the dividend, add it to 45, then carry on: 450 / 51

On to step 3:
51 goes into 450 8 times with a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 18.0
Subtracting 408 from 450 leaves us with 42.
Grab the next digit (6) from the dividend, add it to 42, then carry on: 426 / 51

Going ahead to step 4:
51 goes into 426 8 times with a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 188.0
Subtracting 408 from 426 leaves us with 18.
Append the next digit (0) from the dividend to 18 and continue with: 180 / 51

Going ahead to step 5:
180 divided by 51 is 3 with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 1883.0
Subtracting 153 from 180 leaves us with 27.
Include the next digit (2) from the dividend after 27, then repeat: 272 / 51

Step 6:
272 divided by 51 is 5 with a remainder of 17.
Use 5 as the next digit of our solution. 
Result so far: 18835.0
Subtract 255 from 272 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
The number 51 fits into 170 3 times, leaving a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 18835.3
Deduct 153 from 170 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 8:
If we divide 170 by 51, we get 3 and a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 18835.33
If we subtract 153 from 170, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The quotient of the division is 18835.33, and the remainder is 0.017.