We're dividing 758587 by 45 
Our goal is to divide 758587 by 45.

Going ahead to step 1:
If we divide 7 by 45, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 45

Moving on to step 2:
45 can be fit into 75 1 times, resulting in a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 45 from 75, we get 30.
Fetch the next digit (8) from the dividend, attach it to 30 and continue: 308 / 45

Let's proceed to step 3:
308 divided by 45 is 6 with a remainder of 38.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Subtract 270 from 308 to get 38.
Bring next digit (5) of the dividend behind the 38 and repeat the process: 385 / 45

Let's proceed to step 4:
385 divided by 45 is 8 with a remainder of 25.
Use 8 as the next digit of our solution. 
Result so far: 168.0
Subtracting 360 from 385 leaves us with 25.
Bring next digit (8) of the dividend behind the 25 and repeat the process: 258 / 45

Step 5:
45 can be fit into 258 5 times, resulting in a remainder of 33.
The next digit of our result is 5. 
Result so far: 1685.0
Subtracting 225 from 258 leaves us with 33.
Fetch the next digit (7) from the dividend, attach it to 33 and continue: 337 / 45

Advancing to step 6:
If we divide 337 by 45, we get 7 and a remainder of 22.
Put 7 as the next digit of the answer. 
Result so far: 16857.0
Deduct 315 from 337 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 7:
45 goes into 220 4 times with a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 16857.4
The remainder is 40 after subtracting 180 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
45 goes into 400 8 times with a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 16857.48
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
If we divide 400 by 45, we get 8 and a remainder of 40.
Write down 8 as next digit of the result. 
Result so far: 16857.488
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The quotient of the division is 16857.488, and the remainder is 0.004.