We look at the division of 768858 by 45 
Let's see how many times 45 fits into 768858.

Step 1:
7 divided by 45 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 45

Let's proceed to step 2:
76 divided by 45 is 1 with a remainder of 31.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 31 after subtracting 45 from 76.
Fetch the next digit (8) from the dividend, attach it to 31 and continue: 318 / 45

Advancing to step 3:
318 divided by 45 is 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
If we take 315 away from 318, we end up with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 45

Advancing to step 4:
If we divide 38 by 45, we get 0 and a remainder of 38.
Use 0 as the next digit of our solution. 
Result so far: 170.0
Subtract 0 from 38 to get 38.
Include the next digit (5) from the dividend after 38, then repeat: 385 / 45

On to step 5:
The number 45 fits into 385 8 times, leaving a remainder of 25.
Write down 8 as next digit of the result. 
Result so far: 1708.0
If we take 360 away from 385, we end up with 25.
Grab the next digit (8) from the dividend, add it to 25, then carry on: 258 / 45

Step 6:
If we divide 258 by 45, we get 5 and a remainder of 33.
Write down 5 as next digit of the result. 
Result so far: 17085.0
Subtract 225 from 258 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
45 can be fit into 330 7 times, resulting in a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 17085.7
The remainder is 15 after subtracting 315 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
The number 45 fits into 150 3 times, leaving a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 17085.73
If we take 135 away from 150, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 9:
45 goes into 150 3 times with a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 17085.733
The remainder is 15 after subtracting 135 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final result is 17085.733 with a remainder of 0.0015.