We look at the division of 765965 by 45 
Our goal is to divide 765965 by 45.

Moving on to step 1:
45 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 45

Moving on to step 2:
45 goes into 76 1 times with a remainder of 31.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 45 from 76, we get 31.
Include the next digit (5) from the dividend after 31, then repeat: 315 / 45

On to step 3:
315 divided by 45 is 7 with a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Subtracting 315 from 315 leaves us with 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 45

Step 4:
When dividing 9 by 45, we get 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 170.0
Subtract 0 from 9 to get 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 45

Advancing to step 5:
45 goes into 96 2 times with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 1702.0
Deduct 90 from 96 and we're left with 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 45

Moving on to step 6:
If we divide 65 by 45, we get 1 and a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 17021.0
Subtract 45 from 65 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 7:
45 goes into 200 4 times with a remainder of 20.
The next digit of our result is 4. 
Result so far: 17021.4
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
If we divide 200 by 45, we get 4 and a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 17021.44
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 17021.44, and the remainder is 0.02.