686634 divided by 45 
We're looking to find how many times 45 goes into 686634.

Step 1:
45 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 45

Going ahead to step 2:
The number 45 fits into 68 1 times, leaving a remainder of 23.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 45 from 68, we get 23.
Bring next digit (6) of the dividend behind the 23 and repeat the process: 236 / 45

Moving on to step 3:
When dividing 236 by 45, we get 5 with a remainder of 11.
The next digit of our result is 5. 
Result so far: 15.0
Subtracting 225 from 236 leaves us with 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 45

Moving on to step 4:
If we divide 116 by 45, we get 2 and a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 152.0
Subtracting 90 from 116 leaves us with 26.
Fetch the next digit (3) from the dividend, attach it to 26 and continue: 263 / 45

Advancing to step 5:
45 goes into 263 5 times with a remainder of 38.
Put 5 as the next digit of the answer. 
Result so far: 1525.0
If we take 225 away from 263, we end up with 38.
Append the next digit (4) from the dividend to 38 and continue with: 384 / 45

Let's proceed to step 6:
45 can be fit into 384 8 times, resulting in a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 15258.0
Deduct 360 from 384 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 7:
If we divide 240 by 45, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 15258.5
If we take 225 away from 240, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
The number 45 fits into 150 3 times, leaving a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 15258.53
Deduct 135 from 150 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 9:
45 goes into 150 3 times with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 15258.533
If we take 135 away from 150, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

In conclusion, the division gives 15258.533 with a balance of 0.0015.