We're dividing 17704 by 45 
We want to figure out the number of times 17704 can be divided by 45.

Let's proceed to step 1:
The number 45 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 45

Let's proceed to step 2:
If we divide 17 by 45, we get 0 and a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Append the next digit (7) from the dividend to 17 and continue with: 177 / 45

Advancing to step 3:
177 divided by 45 is 3 with a remainder of 42.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtract 135 from 177 to get 42.
Take the next digit (0) from the dividend and append it to 42, then repeat: 420 / 45

Advancing to step 4:
If we divide 420 by 45, we get 9 and a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 39.0
Subtracting 405 from 420 leaves us with 15.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 45

Advancing to step 5:
If we divide 154 by 45, we get 3 and a remainder of 19.
Use 3 as the next digit of our solution. 
Result so far: 393.0
Subtracting 135 from 154 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 6:
If we divide 190 by 45, we get 4 and a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 393.4
Deduct 180 from 190 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
If we divide 100 by 45, we get 2 and a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 393.42
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
When dividing 100 by 45, we get 2 with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 393.422
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 393.422, and the remainder is 0.001.