767832 ÷ 45 
Our goal is to divide 767832 by 45.

Step 1:
45 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 45

Step 2:
45 can be fit into 76 1 times, resulting in a remainder of 31.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 45 from 76 leaves us with 31.
Grab the next digit (7) from the dividend, add it to 31, then carry on: 317 / 45

Let's proceed to step 3:
If we divide 317 by 45, we get 7 and a remainder of 2.
The next digit of our result is 7. 
Result so far: 17.0
If we take 315 away from 317, we end up with 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 45

Let's proceed to step 4:
45 goes into 28 0 times with a remainder of 28.
The next digit of our result is 0. 
Result so far: 170.0
If we take 0 away from 28, we end up with 28.
Fetch the next digit (3) from the dividend, attach it to 28 and continue: 283 / 45

Advancing to step 5:
When dividing 283 by 45, we get 6 with a remainder of 13.
The next digit of our result is 6. 
Result so far: 1706.0
The remainder is 13 after subtracting 270 from 283.
Fetch the next digit (2) from the dividend, attach it to 13 and continue: 132 / 45

Going ahead to step 6:
If we divide 132 by 45, we get 2 and a remainder of 42.
Write down 2 as next digit of the result. 
Result so far: 17062.0
If we subtract 90 from 132, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 7:
The number 45 fits into 420 9 times, leaving a remainder of 15.
The next digit of our result is 9. 
Result so far: 17062.9
If we subtract 405 from 420, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
150 divided by 45 is 3 with a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 17062.93
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.

Going ahead to step 9:
45 can be fit into 150 3 times, resulting in a remainder of 15.
The next digit of our result is 3. 
Result so far: 17062.933
If we subtract 135 from 150, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The quotient of the division is 17062.933, and the remainder is 0.0015.