705536 ÷ 45 
We're looking to find how many times 45 goes into 705536.

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 (0) from the dividend and append it to 7, then repeat: 70 / 45

Step 2:
45 goes into 70 1 times with a remainder of 25.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 45 from 70 leaves us with 25.
Include the next digit (5) from the dividend after 25, then repeat: 255 / 45

Step 3:
The number 45 fits into 255 5 times, leaving a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we take 225 away from 255, we end up with 30.
Fetch the next digit (5) from the dividend, attach it to 30 and continue: 305 / 45

Let's proceed to step 4:
45 goes into 305 6 times with a remainder of 35.
Use 6 as the next digit of our solution. 
Result so far: 156.0
If we subtract 270 from 305, we get 35.
Append the next digit (3) from the dividend to 35 and continue with: 353 / 45

Moving on to step 5:
When dividing 353 by 45, we get 7 with a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 1567.0
If we take 315 away from 353, we end up with 38.
Bring next digit (6) of the dividend behind the 38 and repeat the process: 386 / 45

Let's proceed to step 6:
When dividing 386 by 45, we get 8 with a remainder of 26.
Write down 8 as next digit of the result. 
Result so far: 15678.0
Subtracting 360 from 386 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 7:
45 goes into 260 5 times with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 15678.5
Subtract 225 from 260 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 8:
When dividing 350 by 45, we get 7 with a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 15678.57
If we subtract 315 from 350, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 9:
350 divided by 45 is 7 with a remainder of 35.
Record the quotient 7 as the next digit in the result. 
Result so far: 15678.577
If we take 315 away from 350, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

After the division, we end up with 15678.577 and a remainder of 0.0035.