We're dividing 365696 by 45 
Our goal is to divide 365696 by 45.

Advancing to step 1:
3 divided by 45 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 45

On to step 2:
45 goes into 36 0 times with a remainder of 36.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 36 leaves us with 36.
Take the next digit (5) from the dividend and append it to 36, then repeat: 365 / 45

Advancing to step 3:
45 can be fit into 365 8 times, resulting in a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 360 from 365 leaves us with 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 45

Advancing to step 4:
If we divide 56 by 45, we get 1 and a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 81.0
The remainder is 11 after subtracting 45 from 56.
Fetch the next digit (9) from the dividend, attach it to 11 and continue: 119 / 45

Advancing to step 5:
45 can be fit into 119 2 times, resulting in a remainder of 29.
Write down 2 as next digit of the result. 
Result so far: 812.0
Subtracting 90 from 119 leaves us with 29.
Fetch the next digit (6) from the dividend, attach it to 29 and continue: 296 / 45

Step 6:
When dividing 296 by 45, we get 6 with a remainder of 26.
The next digit of our result is 6. 
Result so far: 8126.0
If we take 270 away from 296, we end up 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.

Step 7:
If we divide 260 by 45, we get 5 and a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 8126.5
Subtracting 225 from 260 leaves us 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.

Let's proceed to step 8:
45 goes into 350 7 times with a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 8126.57
Deduct 315 from 350 and we're left 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.

On to step 9:
When dividing 350 by 45, we get 7 with a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 8126.577
Subtract 315 from 350 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.

The quotient of the division is 8126.577, and the remainder is 0.0035.