767784 ÷ 45 
Our goal is to divide 767784 by 45.

Going ahead to step 1:
When dividing 7 by 45, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 45

Going ahead to step 2:
45 can be fit into 76 1 times, resulting in a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 45 from 76 leaves us with 31.
Append the next digit (7) from the dividend to 31 and continue with: 317 / 45

Moving on to step 3:
When dividing 317 by 45, we get 7 with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 17.0
If we subtract 315 from 317, we get 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 45

Advancing to step 4:
45 can be fit into 27 0 times, resulting in a remainder of 27.
Write down 0 as next digit of the result. 
Result so far: 170.0
If we take 0 away from 27, we end up with 27.
Include the next digit (8) from the dividend after 27, then repeat: 278 / 45

Going ahead to step 5:
45 goes into 278 6 times with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 1706.0
If we subtract 270 from 278, we get 8.
Append the next digit (4) from the dividend to 8 and continue with: 84 / 45

On to step 6:
84 divided by 45 is 1 with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 17061.0
If we subtract 45 from 84, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 7:
If we divide 390 by 45, we get 8 and a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 17061.8
If we take 360 away from 390, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
When dividing 300 by 45, we get 6 with a remainder of 30.
The next digit of our result is 6. 
Result so far: 17061.86
Subtracting 270 from 300 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
When dividing 300 by 45, we get 6 with a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 17061.866
Subtract 270 from 300 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 17061.866 and a remainder of 0.003.