40906465 ÷ 953 
We're looking to find how many times 953 goes into 40906465.

Moving on to step 1:
The number 953 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 953

Let's proceed to step 2:
40 divided by 953 is 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 40 to get 40.
Grab the next digit (9) from the dividend, add it to 40, then carry on: 409 / 953

Let's proceed to step 3:
If we divide 409 by 953, we get 0 and a remainder of 409.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 409, we get 409.
Take the next digit (0) from the dividend and append it to 409, then repeat: 4090 / 953

Going ahead to step 4:
953 goes into 4090 4 times with a remainder of 278.
Write down 4 as next digit of the result. 
Result so far: 4.0
Deduct 3812 from 4090 and we're left with 278.
Grab the next digit (6) from the dividend, add it to 278, then carry on: 2786 / 953

Advancing to step 5:
The number 953 fits into 2786 2 times, leaving a remainder of 880.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
Subtracting 1906 from 2786 leaves us with 880.
Bring next digit (4) of the dividend behind the 880 and repeat the process: 8804 / 953

Let's proceed to step 6:
8804 divided by 953 is 9 with a remainder of 227.
Use 9 as the next digit of our solution. 
Result so far: 429.0
Subtracting 8577 from 8804 leaves us with 227.
Include the next digit (6) from the dividend after 227, then repeat: 2276 / 953

Advancing to step 7:
The number 953 fits into 2276 2 times, leaving a remainder of 370.
The next digit of our result is 2. 
Result so far: 4292.0
Deduct 1906 from 2276 and we're left with 370.
Bring next digit (5) of the dividend behind the 370 and repeat the process: 3705 / 953

Moving on to step 8:
When dividing 3705 by 953, we get 3 with a remainder of 846.
Write down 3 as next digit of the result. 
Result so far: 42923.0
If we take 2859 away from 3705, we end up with 846.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8460, and continue the process.

Step 9:
953 can be fit into 8460 8 times, resulting in a remainder of 836.
The next digit of our result is 8. 
Result so far: 42923.8
Subtract 7624 from 8460 to get 836.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8360, and continue the process.

Let's proceed to step 10:
953 can be fit into 8360 8 times, resulting in a remainder of 736.
Use 8 as the next digit of our solution. 
Result so far: 42923.88
Subtracting 7624 from 8360 leaves us with 736.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7360, and continue the process.

After the division, we end up with 42923.88 and a remainder of 0.736.