We're dividing 431066 by 40 
We're looking to find how many times 40 goes into 431066.

Step 1:
When dividing 4 by 40, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 40

Step 2:
43 divided by 40 is 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 3 after subtracting 40 from 43.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 40

Moving on to step 3:
40 goes into 31 0 times with a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtract 0 from 31 to get 31.
Grab the next digit (0) from the dividend, add it to 31, then carry on: 310 / 40

Advancing to step 4:
40 goes into 310 7 times with a remainder of 30.
The next digit of our result is 7. 
Result so far: 107.0
Subtract 280 from 310 to get 30.
Take the next digit (6) from the dividend and append it to 30, then repeat: 306 / 40

Going ahead to step 5:
40 goes into 306 7 times with a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 1077.0
Subtract 280 from 306 to get 26.
Append the next digit (6) from the dividend to 26 and continue with: 266 / 40

Going ahead to step 6:
40 goes into 266 6 times with a remainder of 26.
Put 6 as the next digit of the answer. 
Result so far: 10776.0
Subtracting 240 from 266 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 7:
When dividing 260 by 40, we get 6 with a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 10776.6
The remainder is 20 after subtracting 240 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
When dividing 200 by 40, we get 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 10776.65
Subtracting 200 from 200 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
0 divided by 40 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 10776.65
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 10:
40 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 10776.65
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 10776.65, and the remainder is 0.0.