We look at the division of 352966 by 31 
Let's see how many times 31 fits into 352966.

On to step 1:
If we divide 3 by 31, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 31

Going ahead to step 2:
35 divided by 31 is 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 31 from 35 leaves us with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 31

Let's proceed to step 3:
31 can be fit into 42 1 times, resulting in a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtract 31 from 42 to get 11.
Take the next digit (9) from the dividend and append it to 11, then repeat: 119 / 31

On to step 4:
If we divide 119 by 31, we get 3 and a remainder of 26.
The next digit of our result is 3. 
Result so far: 113.0
The remainder is 26 after subtracting 93 from 119.
Append the next digit (6) from the dividend to 26 and continue with: 266 / 31

Advancing to step 5:
31 goes into 266 8 times with a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 1138.0
Subtracting 248 from 266 leaves us with 18.
Take the next digit (6) from the dividend and append it to 18, then repeat: 186 / 31

Going ahead to step 6:
If we divide 186 by 31, we get 6 and a remainder of 0.
The next digit of our result is 6. 
Result so far: 11386.0
Subtracting 186 from 186 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.

Advancing to step 7:
When dividing 0 by 31, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 11386.0
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.

Going ahead to step 8:
The number 31 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 11386.0
If we take 0 away from 0, we end up 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.

The quotient of the division is 11386.0, and the remainder is 0.0.