We divide 953687 by 45
Our goal is to divide 953687 by 45.

Moving on to step 1:
When dividing 9 by 45, we get 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 45

On to step 2:
45 can be fit into 95 2 times, resulting in a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 5 after subtracting 90 from 95.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 45

Going ahead to step 3:
45 goes into 53 1 times with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 21.0
Subtract 45 from 53 to get 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 45

On to step 4:
45 goes into 86 1 times with a remainder of 41.
The number 1 becomes the next digit in our result. 
Result so far: 211.0
Subtracting 45 from 86 leaves us with 41.
Append the next digit (8) from the dividend to 41 and continue with: 418 / 45

Advancing to step 5:
45 can be fit into 418 9 times, resulting in a remainder of 13.
The next digit of our result is 9. 
Result so far: 2119.0
If we subtract 405 from 418, we get 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 45

Let's proceed to step 6:
45 can be fit into 137 3 times, resulting in a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 21193.0
The remainder is 2 after subtracting 135 from 137.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
The number 45 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 21193.0
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
The number 45 fits into 200 4 times, leaving a remainder of 20.
The next digit of our result is 4. 
Result so far: 21193.04
If we subtract 180 from 200, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
45 can be fit into 200 4 times, resulting in a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 21193.044
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 21193.044 with a remainder of 0.002.