Let's divide 953834 by 45
We want to divide 953834 by 45.

Step 1:
45 can be fit into 9 0 times, resulting in a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 45

Advancing to step 2:
If we divide 95 by 45, we get 2 and a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 90 from 95 and we're left with 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 45

Step 3:
If we divide 53 by 45, we get 1 and a remainder of 8.
The next digit of our result is 1. 
Result so far: 21.0
Subtract 45 from 53 to get 8.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 45

Let's proceed to step 4:
If we divide 88 by 45, we get 1 and a remainder of 43.
The next digit of our result is 1. 
Result so far: 211.0
The remainder is 43 after subtracting 45 from 88.
Bring next digit (3) of the dividend behind the 43 and repeat the process: 433 / 45

Let's proceed to step 5:
If we divide 433 by 45, we get 9 and a remainder of 28.
Put 9 as the next digit of the answer. 
Result so far: 2119.0
If we subtract 405 from 433, we get 28.
Include the next digit (4) from the dividend after 28, then repeat: 284 / 45

On to step 6:
45 goes into 284 6 times with a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 21196.0
Deduct 270 from 284 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
The number 45 fits into 140 3 times, leaving a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 21196.3
Subtracting 135 from 140 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
50 divided by 45 is 1 with a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 21196.31
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
If we divide 50 by 45, we get 1 and a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 21196.311
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

After the division, we end up with 21196.311 and a remainder of 0.0005.