We're dividing 956003 by 45 
Our goal is to divide 956003 by 45.

Advancing to step 1:
The number 45 fits into 9 0 times, leaving a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 45

Let's proceed to step 2:
If we divide 95 by 45, we get 2 and a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 90 from 95 and we're left with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 45

On to step 3:
45 goes into 56 1 times with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
If we subtract 45 from 56, we get 11.
Include the next digit (0) from the dividend after 11, then repeat: 110 / 45

Step 4:
110 divided by 45 is 2 with a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 212.0
If we subtract 90 from 110, we get 20.
Take the next digit (0) from the dividend and append it to 20, then repeat: 200 / 45

Let's proceed to step 5:
200 divided by 45 is 4 with a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 2124.0
Subtracting 180 from 200 leaves us with 20.
Fetch the next digit (3) from the dividend, attach it to 20 and continue: 203 / 45

On to step 6:
The number 45 fits into 203 4 times, leaving a remainder of 23.
Put 4 as the next digit of the answer. 
Result so far: 21244.0
Subtract 180 from 203 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 7:
230 divided by 45 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 21244.5
Deduct 225 from 230 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.

On to step 8:
The number 45 fits into 50 1 times, leaving a remainder of 5.
The next digit of our result is 1. 
Result so far: 21244.51
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.
The number 1 becomes the next digit in our result. 
Result so far: 21244.511
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.

The quotient of the division is 21244.511, and the remainder is 0.0005.