We divide 31565 by 66
We're looking to find how many times 66 goes into 31565.

Moving on to step 1:
3 divided by 66 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 66

On to step 2:
When dividing 31 by 66, we get 0 with a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 31 and we're left with 31.
Include the next digit (5) from the dividend after 31, then repeat: 315 / 66

Let's proceed to step 3:
66 can be fit into 315 4 times, resulting in a remainder of 51.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 264 from 315 leaves us with 51.
Bring next digit (6) of the dividend behind the 51 and repeat the process: 516 / 66

Step 4:
When dividing 516 by 66, we get 7 with a remainder of 54.
Write down 7 as next digit of the result. 
Result so far: 47.0
Deduct 462 from 516 and we're left with 54.
Include the next digit (5) from the dividend after 54, then repeat: 545 / 66

Advancing to step 5:
If we divide 545 by 66, we get 8 and a remainder of 17.
Put 8 as the next digit of the answer. 
Result so far: 478.0
Deduct 528 from 545 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 6:
66 can be fit into 170 2 times, resulting in a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 478.2
Subtracting 132 from 170 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 7:
The number 66 fits into 380 5 times, leaving a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 478.25
Subtracting 330 from 380 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 8:
500 divided by 66 is 7 with a remainder of 38.
The next digit of our result is 7. 
Result so far: 478.257
The remainder is 38 after subtracting 462 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 9:
66 can be fit into 380 5 times, resulting in a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 478.2575
Subtracting 330 from 380 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 10:
500 divided by 66 is 7 with a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 478.25757
Subtracting 462 from 500 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 11:
380 divided by 66 is 5 with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 478.257575
Subtract 330 from 380 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 12:
When dividing 500 by 66, we get 7 with a remainder of 38.
The next digit of our result is 7. 
Result so far: 478.2575757
Deduct 462 from 500 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 13:
If we divide 380 by 66, we get 5 and a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 478.25757575
Subtract 330 from 380 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Our division results in 478.25757575 with a remaining 5e-08.