686401 ÷ 45 
We're looking to find how many times 45 goes into 686401.

Step 1:
The number 45 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 45

Moving on to step 2:
The number 45 fits into 68 1 times, leaving a remainder of 23.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 45 from 68, we get 23.
Include the next digit (6) from the dividend after 23, then repeat: 236 / 45

Step 3:
The number 45 fits into 236 5 times, leaving a remainder of 11.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we take 225 away from 236, we end up with 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 45

Moving on to step 4:
114 divided by 45 is 2 with a remainder of 24.
The next digit of our result is 2. 
Result so far: 152.0
If we subtract 90 from 114, we get 24.
Take the next digit (0) from the dividend and append it to 24, then repeat: 240 / 45

Step 5:
45 can be fit into 240 5 times, resulting in a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 1525.0
The remainder is 15 after subtracting 225 from 240.
Include the next digit (1) from the dividend after 15, then repeat: 151 / 45

Let's proceed to step 6:
151 divided by 45 is 3 with a remainder of 16.
The next digit of our result is 3. 
Result so far: 15253.0
The remainder is 16 after subtracting 135 from 151.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
The number 45 fits into 160 3 times, leaving a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 15253.3
If we subtract 135 from 160, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 8:
If we divide 250 by 45, we get 5 and a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 15253.35
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 9:
If we divide 250 by 45, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 15253.355
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

After the division, we end up with 15253.355 and a remainder of 0.0025.